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Publications of Herman Chernoff:
Journal of Statistical Planning and Inference 130 (2005) 13 – 19 www.elsevier.com/locate/jspi
Publications of Herman Chernoff 1. “Complex Solutions of Partial Differential Equations”, (1946). American Journal of Mathematics, pp. 455–478. 2. “A Note on the Inversion of Power Series”, (1947). Mathematical Tables and Other Aids to Computation, pp. 331–335. 3. “The Effect of a Small Error in Observations on the Limited Information Estimates of Stochastic Equations”, (1948). Cowles Commission Discussion Paper, Statistics No. 315, pp. 1–8. 4. “The Computation of Maximum Likelihood Estimates of Parameters of a System of Linear Stochastic Difference Equations in the Case of Correlated Disturbances”, (1948). Cowles Commission Discussion Paper, Statistics No. 323, pp. 1–9. 5. “Asymptotic Studentization in Testing of Hypotheses”, (1949). Annals of Mathematical Statistics, pp. 268–278. 6. “Computational Aspects of Certain Econometric Problems”, (1951). Proceedings of a Second Symposium on Large Scale Digital Calculating Machinery. Harvard University Press, pp. 348–350. 7. “A Property of Some Type A Regions”, (1951). Annals of Mathematical Statistics, pp. 472–474. 8. “An Extension of a Result of Liapounoff on the Range of a Vector Measure”, (1951). Proceedings of the American Mathematical Society, pp. 722–726. 9. “Classification Procedures of the Form f(xi ), where f(x)Assumes Only m Successive Integral Values”, (1951). Technical Report No. 5, under Contract N6ONR-25140, for the Office of Naval Research at Stanford University, pp. 1–30. 10. “A Generalization of the Neyman–Pearson Fundamental Lemma”, (1952). (coauthor H. Scheffe). Annals of Mathematical Statistics, pp. 213–225. 11. “A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the Sum of Observations”, (1952). Annals of Mathematical Statistics, pp. 493–507. 12. “Asymptotic Properties of Limited Information Estimates Under Generalized Conditions”, (coauthor H. Rubin), (1953). Studies in Econometric Method, Cowles Commission Monograph 14, edited by Hood and Koopmans, Chapter VII, pp. 200–212. 13. “The Computation of Maximum Likelihood Estimates of Linear Structural Equations”, (coauthor N. Divinsky), (1953). Studies in Econometric Method, Cowles Commission Monograph 14, Edited by Hood and Koopmans, Chapter X, pp. 236–302. 14. “Locally Optimal Designs for Estimating Parameters”, (1953). Annals of Mathematical Statistics, pp. 586–602.
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Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
15. “Selection of a Distribution Function to Minimize an Expectation Subject to Side Conditions”, (coauthor S. Reiter), (1954). Technical Report No. 23 under Contract N6onr25140 for the Office of Naval Research at Stanford University. 16. “On the Distribution of the Likelihood Ratio”, (1954). Annals of Mathematical Statistics, pp. 573–578. 17. “The Use of Maximum Likelihood Estimates in 2 Tests for Goodness of Fit”, (coauthor E.L. Lehmann), (1954). Annals of Mathematical Statistics, pp. 579–586. 18. “Rational Selection of Decision Functions”, (1954). Econometrica, pp. 442–443. 19. “Use of Normal Probability Paper”, (coauthor G.J. Lieberman), (1954). Journal of the American Statistical Association, pp. 778–785. 20. “A Large Sample Bioassay Design with Random Doses and Uncertain Concentrations”, (coauthor F.C. Andrews), (1954). Biometrika, pp. 307–315. 21. “Gradient Methods of Maximization”, (coauthor J.B. Crockett), (1955). Pacific Journal of Mathematics, pp. 33–50. 22. “A Classification Problem”, (1956). Technical Report No. 33 Under Contract N6ONR25140 for the Office of Naval Research at Stanford University, pp. 1–19. 23. “Large Sample Theory: Parametric Case”, (1956). Annals of Mathematical Statistics, pp. 1–22. 24. “The Use of Generalized Probability Paper for Continuous Distributions”, (coauthor G.J. Lieberman), (1956). Annals of Mathematical Statistics, Vol. 27, No. 3, pp. 806–818. 25. “Sampling Inspection byVariables With No Calculations”, (coauthor G.J. Lieberman), (1957). Industrial Quality Control, Vol XIII, No. 7, pp. 2–4. 26. “The Estimation of the Location of a Discontinuity in Density”, (coauthor H. Rubin), (1956). Proceedings of the Third Berkeley Symposium on Math. Stat. and Prob., Vol. 1, Contributions to the Theory of Statistics, Edited by J. Neyman, University of California Press, pp. 19–37. 27. “A Central Limit Theorem for Sums of Interchangeable Random Variables”, (coauthor Henry Teicher), (1958). Annals of Mathematical Statistics, Vol. 29, pp. 118–130. 28. “Central Limit Theorems for Interchangeable Processes”, (coauthors Blum, Rosenblatt, Teicher), (1958). Canadian Journal of Math., Vol. 29, pp. 222–229. 29. “The Distribution of Shadows”, (coauthor J.F. Daly), (1957). Journal of Mathematics and Mechanics, Vol. 6, pp. 567–584. 30. “Asymptotic Normality and Efficiency of Certain Non-Parametric Test Statistics,” (coauthor I.R. Savage), (1958). Annals of Mathematical Statistics, Vol. 29, pp. 972–994. 31. “An Antenna Propagation Problem”, (1957). Technical Report No. 38, under Contract N6ONR-25140 (NR-342-022) for the Office of Naval Research at Stanford University, pp. 1–15. 32. “Sequential Design of Experiments”, (1959). Annals of Mathematical Statistics, Vol. 30, pp. 755–770. 33. Elementary Decision Theory, (coauthor L.E. Moses), (1959). John Wiley and Sons, Inc., New York. 34. “A Compromise Between Bias and Variance in the Use of Non-Representative Samples”, (1960). Contributions to Probability.
Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
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35. “Motivation for an Approach to the Sequential Design of Experiments”, Information and Decision Processes, (1960). Edited by R.E. Machol, McGraw-Hill Book Co., New York, pp.15–25. 36. “Sequential Experimentation”, (1961). Bull. of Int. Statist. Inst., Vol. 38, Tokyo, pp. 3–9. 37. “Sequential Tests for the Mean of Normal Distribution”, (1961). Proc. of Fourth Berkeley Symposium on Math. Stat. and Prob., Edited by J. Neyman, University of California Press, Vol. 1, pp. 79–95. 38. “The Scoring of Multiple Choice Questionnaires”, (1962). Annals of Mathematical Statistics, Vol. 35, pp. 375–393. 39. “Optimal Accelerated Life Designs for Estimation”, (1962). Technometrics, Vol. 4, No. 3, pp. 381–408. 40. “An Optimal Sequential Accelerated life Test”, (coauthors S. Bessler, A.W. Marshall), (1962). Technometrics, Vol. 4, pp. 367–380. 41. “Storage Policy for Incomplete Record Keeping”, (coauthor G. Schwarz), (1961). Stanford Technical Report No. 71, under Contract NONR 225(52), pp. 1–12. 42. “Optimal Design of Experiments”, (1963). Proceedings of the Eighth Conference on the Design of Experiments in Army Research Development and Testing, pp. 162–173. 43. “Sequential Tests for the Mean of a Normal Distribution II (large t)”, (1964). (coauthor John Breakwell), Annals of Math. Statist., Vol. 35, pp. 162–173. 44. “A New Approach to the Evaluation of Multiple Choice Questionnaires”, (1962a). Bull. of Int. Statist. Inst., Paris, Vol. 39, pp. 289–294. 45. “Preliminary Report on the Problem of Sequentially Testing Whether the Mean of a Normal Distribution is Positive or Negative”, (1962). Technical Report under Contract NONR 3439(00), pp. l–25b. 46. “Estimating the Current Mean of a Normal Distribution Which is Subjected to Changes in Time”, (1964). (coauthor S. Zacks). Annals of Math. Statist., Vol. 35, pp. 999–1018. 47. “Estimation of the Mode”, (1964). Annals of Inst. of Stat. Math., Vol. 16, pp. 31–41. 48. “Sequential Tests for the Mean of a Normal Distribution III (small t)”, (1965). Annals of Math. Statist., Vol. 36, pp. 28–54. 49. “Sequential Tests for the Mean of a Normal Distribution IV (discrete case)”, (1965). Annals of Math. Statist., Vol. 36, pp. 55–68. 50. “Limit Distributions of the Minimax of Independent Identically Distributed Random Variables”, (coauthor Henry Teicher), (1964). Technical Report No. 50, Contract NONR 225(72), pp. 1–27. 51. “Discussion of ‘Asymptotically Optimal Tests for Multinomial Distributions’ by W. Hoeffding”, (1965). Annals of Math. Statist., Vol. 36, pp. 405–407. 52. “A Bayes Sequential Sampling Inspection Plan”, (1965). (coauthor S.N. Ray), Annals of Math. Statist., Vol. 36, pp. 1387–1407. 53. “Sequential Decisions in the Control of a Space Ship”, (1965). (coauthor J. Bather), Technical Report No. 6, under NSF Grant GP-3836, pp. 1–34. 54. “Sequential Decisions in the Control of a Space Ship (Asymptotic Results)”, (1965). (coauthor J. Bather), Technical Report No. 8, under NSF Grant GP-3836, pp. 1–20.
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55. “Sequential Decisions in the Control of a Space Ship”, (1967). (with John Bather), Proc. Fifth Berkeley Symposium, Vol. 3, pp. 181–207, University of California Press. 56. Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation”, (1967). (coauthors J.L. Gastwirth and M.V. Johns), Annals of Math. Statist., Vol. 38, pp. 52–72. 57. “Sequential Decision in the Control of a Space Ship (Finite Fuel)”, (1967), (with John Bather), Journal of Appl. Prob., Vol. 4, pp. 584–604. 58. “A Note on Risk and Maximal Regular Generalized Submartingales in Stopping Problems”, (1967), Annals of Math. Statist., Vol. 38, pp. 606–607. 59. “Sequential Models for Clinical Trials”, (1967), Proc. Fifth Berkeley Symposium, Vol. 4, pp. 805–812, University of California Press. 60. “Bounds on the Efficiency of a Classification Procedure”, (1967). Stanford University Technical Report No. 56 (NONR 225(72) (NR-024-993), pp. 1–19. 61. “Decision Theory”, (1968), International Encyclopedia of the Social Sciences, The Macmillan Co. and the Free Press. 62. “Optimal Stochastic Control”, (1968). Mathematics of the Decision Sciences, Part 2, Lectures in Applied Math., Vol. 12, American Math. Soc., pp. 149–172. 63. “Optimal Stochastic Control”, (1968). Sankhya, Series A, Vol. 30, pp. 221–251. 64. “Optimal Design Applied to Simulation”, (1969). Proceedings of the 37th Session of the ISI. Book 2, Vol. 43, pp. 264–266. 65. “Sequential Designs”, (1969). The Design of Computer Simulation Experiments, edited by T.H. Taylor, Duke University Press, pp. 99–120. 66. “A Bound of the Classification Error for Discriminating Between Populations with Specified Means and Variances”,1971), Studi di probabilita. statistica e ricerca operative in onore de Giuseppe Pompilj, pp. 205–211, Oderisi-Gubbio. 67. “Metric Considerations in Cluster Analysis”, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, pp. 621–629, University of California Press, 1971. 68. “The Selection of EffectiveAttributes for Deciding Between Hypotheses Using Linear Discriminant Functions”, Frontiers of Pattern Recognition, pp. 55–60, Academic Press, 1971. 69. “The Efficient Estimation of a Parameter Measurable by Two Instruments of Unknown Precisions”, Optimizing Methods in Statistics, pp. 1–27, Academic Press, 1971. 70. “A Note on Optimal Spacings for Systematic Statistics”, (1971). Stanford Univ. Tech. Report No. 70 (N00014-67-A-0112(Nr042-993)), pp. 1–11. 71. “The Use of Faces to Represent Points in k-Dimensional Space Graphically”, (1973). Journal Amer. Statist. Assoc., Vol. 68, pp. 361–368. 72. “Some Measures for Discriminating between Normal Multivariate Distributions with Unequal Covariance Matrices”, (1973). Multivariate Analysis - II, ed. P.R. Krishnaiah, pp. 337–344, Academic Press. 73. “Sequential Analysis and Optimal Design”, (1972). Eighth Regional Conference Series in Applied Mathematics, pp. 1–119, SIAM. 74. “Effect on Classification Error of Random Permutations of Features in Representing Multivariate Data by Faces”, (with M.H. Rizvi), (1975). Jour. Amer. Stat. Assoc., Vol. 70, pp. 548–554.
Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
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75. “Approaches in Sequential Design of Experiments, A Survey of Statistical Designs and Linear Models”, (1975). A Survey of Statistical Design and Linear Models, ed. by J.N. Strivastava, pp. 67–90. North Holland/America Elsevier, New York. 76. “The Interaction Between Large Sample Theory and Optimal Design of Experiments”, (1976). On the History of Probability and Statistics, ed. by D.B. Own, Marcel Dekker, New York. 77. “An Optimal Stopping Problem for Sums of Dichotomous Random Variables”, (with A.J. Petkau), (1976). The Annals of Probability, Vol. 4, pp. 875–889. 78. “Some Applications of a Method of Identifying an Element of a Large Multidimensional Population”, Multivariate Analysis - IV, ed. by P.R. Krishnaiah, 1977, pp. 445–456, North-Holland, New York. 79. “A Subset Selection Problem Employing a New Criterion”, (1977). (with J. Yahav), Statistical Theory and Related Topics, II (ed. by S. Gupta), pp. 93–119. Academic Press, New York. 80. “Optimal Control of a Brownian Motion”, (1978). (with A.J. Petkau), SIAM Journal of Applied Math., Vol. 34, pp. 717–731. 81. “A Satellite Control Problem”, (1979). (with A.J. Petkau), Optimizing Methods in Statistics, (ed. J.S. Rustagi), 1979, pp. 89–124, Academic Press, New York. 82. “Graphical Representations as a Discipline”, (1979). Graphical Representation of Multivariate Data (ed. by P. Wang), pp. 1–11, Academic Press, New York. Also in Information Linkage Between Applied Mathematics and Industry (ed. by P. Wang), pp. 49–59, Academic Press, New York. 83. “The Identification of an Element of a Large Population in the Presence of Noise”, (1980). Annals of Statistics, Vol. 8, pp. 1179–1197. 84. “Sequential Medical Trials Involving Paired Data”, (1981). (with A.J. Petkau), Biometrika, Vol. 68, No. 1, pp. 119–132. 85. “A Note on an Inequality Involving the Normal Distribution”, (1981). Annals of Probability, Vol. 9, pp. 533–535. 86. “Nonparametric Estimation of the Slope of a Truncated Regression”, (1983). (with P.K. Bhattacharya and S.S. Yang), Annals of Statistics, Vol. 11, pp. 505–514. 87. “An Analysis of the Massachusetts Numbers Game”, (1981). Statistics and Related Topics (ed. M. Csorgo et al), North Holland Publishing Co., pp. 23–37. 88. “How to Beat the Massachusetts Numbers Game. An Application of Some Basic Ideas in Probability and Statistics”, (1981). The Mathematical Intelligencer, Vol. 3, pp.166–175. 89. “Chernoff Faces”, (1982), Encyclopedia of Statistical Sciences, (ed. Kotz et al), Vol. 1, pp. 436–438, J. Wiley and Sons, New York. 90. Report of the Committee on Ballistic Acoustics, NRC, pp. 1–96,1982, Nat. Acad. Press, Washington, D.C. 91. “When It Seems Desirable to Ignore Data”, (1983). A Festschrift for Erich L. Lehmann, (ed. by Bickel et al), pp. 115–130, Wadsworth, Belmont. 92. “Sequential Medical Trials with Ethical Cost”, (1985). (with A.J. Petkau) Proceeding of Berkeley Conference in Honor of J. Neyman and J. Kiefer, Vol. II, (ed. by LeCam and Olshen), Wadsworth, Inc., pp. 521–537. 93. “Numerical Methods for Bayes Sequential Decision Problems”, (1984). (with A.J. Petkau), MIT Tech. Report No. ONR 34, pp. 1–125.
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Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
94. “Numerical Solutions for Bayes Sequential Decision Problems”, (1986). (with A.J. Petkau). SIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 1, pp. 46–59. 95. “A Markov Decision Approach to Nuclear Materials Safeguards”, (1987). (with Y.C. Yao). Contributions to the Theory and Application of Statistics, A Volume in Honor of Herbert Solomon. Academic Press, pp. 19–42. 96. “Discussion of ‘On the Allocation of Treatments in Sequential Medical Trials’ by J. A. Bather and ‘The Search for Optimality in Clinical Trials’ by P. Armitage”, (1985). Int. Statist. Review, 531, pp. 26–28. 97. “Discussion of the Perone-Ham Paper, Measurement and Control of Information Content in Electrochemical Experiments”, (1986). NBS Journal of Research, pp. 539– 541. 98. “Discussion of ‘Why Isn’t Everyone a Bayesian by B. Efron’”, (1986). The American Statistician, Vol. 40, No. 1, pp. 5–6. 99. “Remarks on the Estimation of the Coefficients of a Regression in the Presence of Unknown Explanatory Variables”, (1986). Adaptive Statistical Procedures and Related Topics (ed. J. Van Ryzin), Vol. 8, IMS Lecture Notes - Monograph Series, Ins. Math. Stat., Hayward, California, pp. 338–349. 100. “Asymptotic Expansions for a Truncated Version of Lerche’s Variation of the Sequential Problem of Deciding the Sign of the Drift of a Brownian Motion”, American Journal of Mathematical and Management Sciences, Nos. 1 & 2, pp. 113–134 (1991). 101. “The Effect of Truncation on a Sequential Test for the Drift of a Brownian Motion” (with J.A. Bather and A.J. Petkau), Vol. 8, pp. 169–190, (1989). 102. “Locally Optimal Design for Comparing Two Probabilities from Binomial Data Subject to Misclassification” (with Y. Haitosky), Biometrika, Vol. 77, pp. 797–805 (1990). 103. “Simple Computer Intensive Methods for Estimating Parameters of Complex Models,” Computational Statistics and Data Analysis 12, pp. 159–178, (1991). 104. “Asymptotic Distribution of the Likelihood Ratio Test That a Mixture of Two Binomials is a Single Binomial,” (with E. Lander), Journal of Statistical Planning and Inference, Vol. 43, pp. 19–40 (1995). 105. Comments on “Inferences Using DNA Profiling in Forensic Identification and Paternity Cases” by Donald A. Berry, Statistical Science, Vol. 6, No. 2, pp. 175–205 (1991). 106. “Kullback–Leibler Information for Ordering Genes Using Sperm Typing and Radiation Hybrid Mapping,” Statistical Science & Data Analysis, K. Matusita et al. (Eds), VSP, The Netherlands, pp. 1–11 (1993). 107. “Estimating A Sequence from Noisy Copies,” Statistics and Probability: A Raghu Raj Bahadur Festschrift (ed. J. K. Ghosh et al), Wiley Eastern Limited, pp. 147–163 (1993). 108. “Asymptotic Distribution of the Likelihood Ratio Statistic in a Prototypical Non Regular Problem,” (with P. Bickel) Statistics and Probability: A Raghu Raj Bahadur Festschrift (ed. J. K. Ghosh et al.), Wiley Eastern Limited, pp. 83–96 (1993). 109. “Bounds on Inconsistent Inferences for Sequences of Trials with Varying Probabilities,” (with Y. Wu), Probability, Statistics and Optimization, Ed. by F. P. Kelly, pp. 351–366, John Wiley and Sons, Ltd. (1994). 110. Supplement to “Bounds on Inconsistent Inferences for Sequences of Trials withVarying Probabilities,” (with Y. Wu) Harvard University Technical Report NSA-C-2, pp. 1–24, (1993).
Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
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111. Bounds and Asymptotic Expansions for Solutions of the Free Boundary Problem Related to Sequential Decision Versions of a Bioequivalence Problem (with J. Bather). Harvard University Technical Report, ONR-C-15, pp. 1–54, (1993). 112. “Issues in DNA Fingerprinting”, Statistics and Public Policy, Ed. B. D. Spencer, Clarendon Press, Oxford, pp. 15–32, (1997). 113. “A Conversation With Herman Chernoff,” (with J. Bather) Statistical Science, 11, pp. 335–350, (1996). 114. “The Role of Kullback–Leibler Information in Asymptotic Theory and Design of Experiments”, Proc. of Kullback Memorial Conference, pp. 17–26, (1996). 115. “Improving Use of Statistics in Army Test and Evaluation,” Proceedings of the Second Annual U.S. Army Conference on Applied Statistics, 23–25 October 1996, Ed. B.A. Bodt, pp. 101–116, (1997). 116. “Statistics, Testing, and Defense Acquisition: New Approaches and Methodological Improvements,” NRC report, (eds Cohen, Rolph, and Steffey), National Academy Press, pp. 1–226, (1998). 117. “Gustav Elfving’s Impact on Experimental Design,” Statistical Science, Vol. 14, pp. 201–205, (1999). 118. “The Decision Theory Controversy”, Harvard Technical Report pp.1–4, (1999) (To be published by U. of Athens). 119. “Extensions of a Variation of the Isoperimetric Problem”, Harvard Technical Report, pp. 1–10 (1999) (To be published as part of the proceedings of the conference held in honor of Theophilos Cacoullos). 120. “Kullback–Leibler Information for Marker Detection in the Presence ofAssociation.” Harvard Tech. Rport. pp. 1–3 (1999). 121. “Comments on Sequential Analysis: Some Classical Problems and New Challenges by Tse Leung Lai”, Statistical Sinica, Vol. 11, pp. 351–355. (2001). 122. “A View of the Past, Present, and Future”, Sankhya: The Indian Journal of Statistics, Vol. 64, Series A, pp. 183–192, (2002). 123. “Kullback–Leibler Information for Marker Detection for Families with Heterogeneous Parents.” Harvard Technical Report. pp. 1–3, (1999). 124. “Synchronization of the Acoustic Evidence in the Assassination of President Kennedy” (with Ramsey, Garwin, Horowitz, and Phinney) submitted for publication in Science and Justice, (2002). 125. “Another View of the Classical Problem of Comparing Two Probabilities” Journal of the Iranian Statistical Society, Vol. 1, pp. 35–54, (2002). 126. “Information for Testing the Equality of Two Probabilities from the Margins of the 2 × 2 Table.” submitted to JSPI (2003).
Publications of Herman Chernoff 1. “Complex Solutions of Partial Differential Equations”, (1946). American Journal of Mathematics, pp. 455–478. 2. “A Note on the Inversion of Power Series”, (1947). Mathematical Tables and Other Aids to Computation, pp. 331–335. 3. “The Effect of a Small Error in Observations on the Limited Information Estimates of Stochastic Equations”, (1948). Cowles Commission Discussion Paper, Statistics No. 315, pp. 1–8. 4. “The Computation of Maximum Likelihood Estimates of Parameters of a System of Linear Stochastic Difference Equations in the Case of Correlated Disturbances”, (1948). Cowles Commission Discussion Paper, Statistics No. 323, pp. 1–9. 5. “Asymptotic Studentization in Testing of Hypotheses”, (1949). Annals of Mathematical Statistics, pp. 268–278. 6. “Computational Aspects of Certain Econometric Problems”, (1951). Proceedings of a Second Symposium on Large Scale Digital Calculating Machinery. Harvard University Press, pp. 348–350. 7. “A Property of Some Type A Regions”, (1951). Annals of Mathematical Statistics, pp. 472–474. 8. “An Extension of a Result of Liapounoff on the Range of a Vector Measure”, (1951). Proceedings of the American Mathematical Society, pp. 722–726. 9. “Classification Procedures of the Form f(xi ), where f(x)Assumes Only m Successive Integral Values”, (1951). Technical Report No. 5, under Contract N6ONR-25140, for the Office of Naval Research at Stanford University, pp. 1–30. 10. “A Generalization of the Neyman–Pearson Fundamental Lemma”, (1952). (coauthor H. Scheffe). Annals of Mathematical Statistics, pp. 213–225. 11. “A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the Sum of Observations”, (1952). Annals of Mathematical Statistics, pp. 493–507. 12. “Asymptotic Properties of Limited Information Estimates Under Generalized Conditions”, (coauthor H. Rubin), (1953). Studies in Econometric Method, Cowles Commission Monograph 14, edited by Hood and Koopmans, Chapter VII, pp. 200–212. 13. “The Computation of Maximum Likelihood Estimates of Linear Structural Equations”, (coauthor N. Divinsky), (1953). Studies in Econometric Method, Cowles Commission Monograph 14, Edited by Hood and Koopmans, Chapter X, pp. 236–302. 14. “Locally Optimal Designs for Estimating Parameters”, (1953). Annals of Mathematical Statistics, pp. 586–602.
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Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
15. “Selection of a Distribution Function to Minimize an Expectation Subject to Side Conditions”, (coauthor S. Reiter), (1954). Technical Report No. 23 under Contract N6onr25140 for the Office of Naval Research at Stanford University. 16. “On the Distribution of the Likelihood Ratio”, (1954). Annals of Mathematical Statistics, pp. 573–578. 17. “The Use of Maximum Likelihood Estimates in 2 Tests for Goodness of Fit”, (coauthor E.L. Lehmann), (1954). Annals of Mathematical Statistics, pp. 579–586. 18. “Rational Selection of Decision Functions”, (1954). Econometrica, pp. 442–443. 19. “Use of Normal Probability Paper”, (coauthor G.J. Lieberman), (1954). Journal of the American Statistical Association, pp. 778–785. 20. “A Large Sample Bioassay Design with Random Doses and Uncertain Concentrations”, (coauthor F.C. Andrews), (1954). Biometrika, pp. 307–315. 21. “Gradient Methods of Maximization”, (coauthor J.B. Crockett), (1955). Pacific Journal of Mathematics, pp. 33–50. 22. “A Classification Problem”, (1956). Technical Report No. 33 Under Contract N6ONR25140 for the Office of Naval Research at Stanford University, pp. 1–19. 23. “Large Sample Theory: Parametric Case”, (1956). Annals of Mathematical Statistics, pp. 1–22. 24. “The Use of Generalized Probability Paper for Continuous Distributions”, (coauthor G.J. Lieberman), (1956). Annals of Mathematical Statistics, Vol. 27, No. 3, pp. 806–818. 25. “Sampling Inspection byVariables With No Calculations”, (coauthor G.J. Lieberman), (1957). Industrial Quality Control, Vol XIII, No. 7, pp. 2–4. 26. “The Estimation of the Location of a Discontinuity in Density”, (coauthor H. Rubin), (1956). Proceedings of the Third Berkeley Symposium on Math. Stat. and Prob., Vol. 1, Contributions to the Theory of Statistics, Edited by J. Neyman, University of California Press, pp. 19–37. 27. “A Central Limit Theorem for Sums of Interchangeable Random Variables”, (coauthor Henry Teicher), (1958). Annals of Mathematical Statistics, Vol. 29, pp. 118–130. 28. “Central Limit Theorems for Interchangeable Processes”, (coauthors Blum, Rosenblatt, Teicher), (1958). Canadian Journal of Math., Vol. 29, pp. 222–229. 29. “The Distribution of Shadows”, (coauthor J.F. Daly), (1957). Journal of Mathematics and Mechanics, Vol. 6, pp. 567–584. 30. “Asymptotic Normality and Efficiency of Certain Non-Parametric Test Statistics,” (coauthor I.R. Savage), (1958). Annals of Mathematical Statistics, Vol. 29, pp. 972–994. 31. “An Antenna Propagation Problem”, (1957). Technical Report No. 38, under Contract N6ONR-25140 (NR-342-022) for the Office of Naval Research at Stanford University, pp. 1–15. 32. “Sequential Design of Experiments”, (1959). Annals of Mathematical Statistics, Vol. 30, pp. 755–770. 33. Elementary Decision Theory, (coauthor L.E. Moses), (1959). John Wiley and Sons, Inc., New York. 34. “A Compromise Between Bias and Variance in the Use of Non-Representative Samples”, (1960). Contributions to Probability.
Publications of Herman Chernoff / Journal of Statistical Planning and Inference 130 (2005) 13 – 19
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35. “Motivation for an Approach to the Sequential Design of Experiments”, Information and Decision Processes, (1960). Edited by R.E. Machol, McGraw-Hill Book Co., New York, pp.15–25. 36. “Sequential Experimentation”, (1961). Bull. of Int. Statist. Inst., Vol. 38, Tokyo, pp. 3–9. 37. “Sequential Tests for the Mean of Normal Distribution”, (1961). Proc. of Fourth Berkeley Symposium on Math. Stat. and Prob., Edited by J. Neyman, University of California Press, Vol. 1, pp. 79–95. 38. “The Scoring of Multiple Choice Questionnaires”, (1962). Annals of Mathematical Statistics, Vol. 35, pp. 375–393. 39. “Optimal Accelerated Life Designs for Estimation”, (1962). Technometrics, Vol. 4, No. 3, pp. 381–408. 40. “An Optimal Sequential Accelerated life Test”, (coauthors S. Bessler, A.W. Marshall), (1962). Technometrics, Vol. 4, pp. 367–380. 41. “Storage Policy for Incomplete Record Keeping”, (coauthor G. Schwarz), (1961). Stanford Technical Report No. 71, under Contract NONR 225(52), pp. 1–12. 42. “Optimal Design of Experiments”, (1963). Proceedings of the Eighth Conference on the Design of Experiments in Army Research Development and Testing, pp. 162–173. 43. “Sequential Tests for the Mean of a Normal Distribution II (large t)”, (1964). (coauthor John Breakwell), Annals of Math. Statist., Vol. 35, pp. 162–173. 44. “A New Approach to the Evaluation of Multiple Choice Questionnaires”, (1962a). Bull. of Int. Statist. Inst., Paris, Vol. 39, pp. 289–294. 45. “Preliminary Report on the Problem of Sequentially Testing Whether the Mean of a Normal Distribution is Positive or Negative”, (1962). Technical Report under Contract NONR 3439(00), pp. l–25b. 46. “Estimating the Current Mean of a Normal Distribution Which is Subjected to Changes in Time”, (1964). (coauthor S. Zacks). Annals of Math. Statist., Vol. 35, pp. 999–1018. 47. “Estimation of the Mode”, (1964). Annals of Inst. of Stat. Math., Vol. 16, pp. 31–41. 48. “Sequential Tests for the Mean of a Normal Distribution III (small t)”, (1965). Annals of Math. Statist., Vol. 36, pp. 28–54. 49. “Sequential Tests for the Mean of a Normal Distribution IV (discrete case)”, (1965). Annals of Math. Statist., Vol. 36, pp. 55–68. 50. “Limit Distributions of the Minimax of Independent Identically Distributed Random Variables”, (coauthor Henry Teicher), (1964). Technical Report No. 50, Contract NONR 225(72), pp. 1–27. 51. “Discussion of ‘Asymptotically Optimal Tests for Multinomial Distributions’ by W. Hoeffding”, (1965). Annals of Math. Statist., Vol. 36, pp. 405–407. 52. “A Bayes Sequential Sampling Inspection Plan”, (1965). (coauthor S.N. Ray), Annals of Math. Statist., Vol. 36, pp. 1387–1407. 53. “Sequential Decisions in the Control of a Space Ship”, (1965). (coauthor J. Bather), Technical Report No. 6, under NSF Grant GP-3836, pp. 1–34. 54. “Sequential Decisions in the Control of a Space Ship (Asymptotic Results)”, (1965). (coauthor J. Bather), Technical Report No. 8, under NSF Grant GP-3836, pp. 1–20.
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55. “Sequential Decisions in the Control of a Space Ship”, (1967). (with John Bather), Proc. Fifth Berkeley Symposium, Vol. 3, pp. 181–207, University of California Press. 56. Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation”, (1967). (coauthors J.L. Gastwirth and M.V. Johns), Annals of Math. Statist., Vol. 38, pp. 52–72. 57. “Sequential Decision in the Control of a Space Ship (Finite Fuel)”, (1967), (with John Bather), Journal of Appl. Prob., Vol. 4, pp. 584–604. 58. “A Note on Risk and Maximal Regular Generalized Submartingales in Stopping Problems”, (1967), Annals of Math. Statist., Vol. 38, pp. 606–607. 59. “Sequential Models for Clinical Trials”, (1967), Proc. Fifth Berkeley Symposium, Vol. 4, pp. 805–812, University of California Press. 60. “Bounds on the Efficiency of a Classification Procedure”, (1967). Stanford University Technical Report No. 56 (NONR 225(72) (NR-024-993), pp. 1–19. 61. “Decision Theory”, (1968), International Encyclopedia of the Social Sciences, The Macmillan Co. and the Free Press. 62. “Optimal Stochastic Control”, (1968). Mathematics of the Decision Sciences, Part 2, Lectures in Applied Math., Vol. 12, American Math. Soc., pp. 149–172. 63. “Optimal Stochastic Control”, (1968). Sankhya, Series A, Vol. 30, pp. 221–251. 64. “Optimal Design Applied to Simulation”, (1969). Proceedings of the 37th Session of the ISI. Book 2, Vol. 43, pp. 264–266. 65. “Sequential Designs”, (1969). The Design of Computer Simulation Experiments, edited by T.H. Taylor, Duke University Press, pp. 99–120. 66. “A Bound of the Classification Error for Discriminating Between Populations with Specified Means and Variances”,1971), Studi di probabilita. statistica e ricerca operative in onore de Giuseppe Pompilj, pp. 205–211, Oderisi-Gubbio. 67. “Metric Considerations in Cluster Analysis”, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, pp. 621–629, University of California Press, 1971. 68. “The Selection of EffectiveAttributes for Deciding Between Hypotheses Using Linear Discriminant Functions”, Frontiers of Pattern Recognition, pp. 55–60, Academic Press, 1971. 69. “The Efficient Estimation of a Parameter Measurable by Two Instruments of Unknown Precisions”, Optimizing Methods in Statistics, pp. 1–27, Academic Press, 1971. 70. “A Note on Optimal Spacings for Systematic Statistics”, (1971). Stanford Univ. Tech. Report No. 70 (N00014-67-A-0112(Nr042-993)), pp. 1–11. 71. “The Use of Faces to Represent Points in k-Dimensional Space Graphically”, (1973). Journal Amer. Statist. Assoc., Vol. 68, pp. 361–368. 72. “Some Measures for Discriminating between Normal Multivariate Distributions with Unequal Covariance Matrices”, (1973). Multivariate Analysis - II, ed. P.R. Krishnaiah, pp. 337–344, Academic Press. 73. “Sequential Analysis and Optimal Design”, (1972). Eighth Regional Conference Series in Applied Mathematics, pp. 1–119, SIAM. 74. “Effect on Classification Error of Random Permutations of Features in Representing Multivariate Data by Faces”, (with M.H. Rizvi), (1975). Jour. Amer. Stat. Assoc., Vol. 70, pp. 548–554.
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75. “Approaches in Sequential Design of Experiments, A Survey of Statistical Designs and Linear Models”, (1975). A Survey of Statistical Design and Linear Models, ed. by J.N. Strivastava, pp. 67–90. North Holland/America Elsevier, New York. 76. “The Interaction Between Large Sample Theory and Optimal Design of Experiments”, (1976). On the History of Probability and Statistics, ed. by D.B. Own, Marcel Dekker, New York. 77. “An Optimal Stopping Problem for Sums of Dichotomous Random Variables”, (with A.J. Petkau), (1976). The Annals of Probability, Vol. 4, pp. 875–889. 78. “Some Applications of a Method of Identifying an Element of a Large Multidimensional Population”, Multivariate Analysis - IV, ed. by P.R. Krishnaiah, 1977, pp. 445–456, North-Holland, New York. 79. “A Subset Selection Problem Employing a New Criterion”, (1977). (with J. Yahav), Statistical Theory and Related Topics, II (ed. by S. Gupta), pp. 93–119. Academic Press, New York. 80. “Optimal Control of a Brownian Motion”, (1978). (with A.J. Petkau), SIAM Journal of Applied Math., Vol. 34, pp. 717–731. 81. “A Satellite Control Problem”, (1979). (with A.J. Petkau), Optimizing Methods in Statistics, (ed. J.S. Rustagi), 1979, pp. 89–124, Academic Press, New York. 82. “Graphical Representations as a Discipline”, (1979). Graphical Representation of Multivariate Data (ed. by P. Wang), pp. 1–11, Academic Press, New York. Also in Information Linkage Between Applied Mathematics and Industry (ed. by P. Wang), pp. 49–59, Academic Press, New York. 83. “The Identification of an Element of a Large Population in the Presence of Noise”, (1980). Annals of Statistics, Vol. 8, pp. 1179–1197. 84. “Sequential Medical Trials Involving Paired Data”, (1981). (with A.J. Petkau), Biometrika, Vol. 68, No. 1, pp. 119–132. 85. “A Note on an Inequality Involving the Normal Distribution”, (1981). Annals of Probability, Vol. 9, pp. 533–535. 86. “Nonparametric Estimation of the Slope of a Truncated Regression”, (1983). (with P.K. Bhattacharya and S.S. Yang), Annals of Statistics, Vol. 11, pp. 505–514. 87. “An Analysis of the Massachusetts Numbers Game”, (1981). Statistics and Related Topics (ed. M. Csorgo et al), North Holland Publishing Co., pp. 23–37. 88. “How to Beat the Massachusetts Numbers Game. An Application of Some Basic Ideas in Probability and Statistics”, (1981). The Mathematical Intelligencer, Vol. 3, pp.166–175. 89. “Chernoff Faces”, (1982), Encyclopedia of Statistical Sciences, (ed. Kotz et al), Vol. 1, pp. 436–438, J. Wiley and Sons, New York. 90. Report of the Committee on Ballistic Acoustics, NRC, pp. 1–96,1982, Nat. Acad. Press, Washington, D.C. 91. “When It Seems Desirable to Ignore Data”, (1983). A Festschrift for Erich L. Lehmann, (ed. by Bickel et al), pp. 115–130, Wadsworth, Belmont. 92. “Sequential Medical Trials with Ethical Cost”, (1985). (with A.J. Petkau) Proceeding of Berkeley Conference in Honor of J. Neyman and J. Kiefer, Vol. II, (ed. by LeCam and Olshen), Wadsworth, Inc., pp. 521–537. 93. “Numerical Methods for Bayes Sequential Decision Problems”, (1984). (with A.J. Petkau), MIT Tech. Report No. ONR 34, pp. 1–125.
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94. “Numerical Solutions for Bayes Sequential Decision Problems”, (1986). (with A.J. Petkau). SIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 1, pp. 46–59. 95. “A Markov Decision Approach to Nuclear Materials Safeguards”, (1987). (with Y.C. Yao). Contributions to the Theory and Application of Statistics, A Volume in Honor of Herbert Solomon. Academic Press, pp. 19–42. 96. “Discussion of ‘On the Allocation of Treatments in Sequential Medical Trials’ by J. A. Bather and ‘The Search for Optimality in Clinical Trials’ by P. Armitage”, (1985). Int. Statist. Review, 531, pp. 26–28. 97. “Discussion of the Perone-Ham Paper, Measurement and Control of Information Content in Electrochemical Experiments”, (1986). NBS Journal of Research, pp. 539– 541. 98. “Discussion of ‘Why Isn’t Everyone a Bayesian by B. Efron’”, (1986). The American Statistician, Vol. 40, No. 1, pp. 5–6. 99. “Remarks on the Estimation of the Coefficients of a Regression in the Presence of Unknown Explanatory Variables”, (1986). Adaptive Statistical Procedures and Related Topics (ed. J. Van Ryzin), Vol. 8, IMS Lecture Notes - Monograph Series, Ins. Math. Stat., Hayward, California, pp. 338–349. 100. “Asymptotic Expansions for a Truncated Version of Lerche’s Variation of the Sequential Problem of Deciding the Sign of the Drift of a Brownian Motion”, American Journal of Mathematical and Management Sciences, Nos. 1 & 2, pp. 113–134 (1991). 101. “The Effect of Truncation on a Sequential Test for the Drift of a Brownian Motion” (with J.A. Bather and A.J. Petkau), Vol. 8, pp. 169–190, (1989). 102. “Locally Optimal Design for Comparing Two Probabilities from Binomial Data Subject to Misclassification” (with Y. Haitosky), Biometrika, Vol. 77, pp. 797–805 (1990). 103. “Simple Computer Intensive Methods for Estimating Parameters of Complex Models,” Computational Statistics and Data Analysis 12, pp. 159–178, (1991). 104. “Asymptotic Distribution of the Likelihood Ratio Test That a Mixture of Two Binomials is a Single Binomial,” (with E. Lander), Journal of Statistical Planning and Inference, Vol. 43, pp. 19–40 (1995). 105. Comments on “Inferences Using DNA Profiling in Forensic Identification and Paternity Cases” by Donald A. Berry, Statistical Science, Vol. 6, No. 2, pp. 175–205 (1991). 106. “Kullback–Leibler Information for Ordering Genes Using Sperm Typing and Radiation Hybrid Mapping,” Statistical Science & Data Analysis, K. Matusita et al. (Eds), VSP, The Netherlands, pp. 1–11 (1993). 107. “Estimating A Sequence from Noisy Copies,” Statistics and Probability: A Raghu Raj Bahadur Festschrift (ed. J. K. Ghosh et al), Wiley Eastern Limited, pp. 147–163 (1993). 108. “Asymptotic Distribution of the Likelihood Ratio Statistic in a Prototypical Non Regular Problem,” (with P. Bickel) Statistics and Probability: A Raghu Raj Bahadur Festschrift (ed. J. K. Ghosh et al.), Wiley Eastern Limited, pp. 83–96 (1993). 109. “Bounds on Inconsistent Inferences for Sequences of Trials with Varying Probabilities,” (with Y. Wu), Probability, Statistics and Optimization, Ed. by F. P. Kelly, pp. 351–366, John Wiley and Sons, Ltd. (1994). 110. Supplement to “Bounds on Inconsistent Inferences for Sequences of Trials withVarying Probabilities,” (with Y. Wu) Harvard University Technical Report NSA-C-2, pp. 1–24, (1993).
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111. Bounds and Asymptotic Expansions for Solutions of the Free Boundary Problem Related to Sequential Decision Versions of a Bioequivalence Problem (with J. Bather). Harvard University Technical Report, ONR-C-15, pp. 1–54, (1993). 112. “Issues in DNA Fingerprinting”, Statistics and Public Policy, Ed. B. D. Spencer, Clarendon Press, Oxford, pp. 15–32, (1997). 113. “A Conversation With Herman Chernoff,” (with J. Bather) Statistical Science, 11, pp. 335–350, (1996). 114. “The Role of Kullback–Leibler Information in Asymptotic Theory and Design of Experiments”, Proc. of Kullback Memorial Conference, pp. 17–26, (1996). 115. “Improving Use of Statistics in Army Test and Evaluation,” Proceedings of the Second Annual U.S. Army Conference on Applied Statistics, 23–25 October 1996, Ed. B.A. Bodt, pp. 101–116, (1997). 116. “Statistics, Testing, and Defense Acquisition: New Approaches and Methodological Improvements,” NRC report, (eds Cohen, Rolph, and Steffey), National Academy Press, pp. 1–226, (1998). 117. “Gustav Elfving’s Impact on Experimental Design,” Statistical Science, Vol. 14, pp. 201–205, (1999). 118. “The Decision Theory Controversy”, Harvard Technical Report pp.1–4, (1999) (To be published by U. of Athens). 119. “Extensions of a Variation of the Isoperimetric Problem”, Harvard Technical Report, pp. 1–10 (1999) (To be published as part of the proceedings of the conference held in honor of Theophilos Cacoullos). 120. “Kullback–Leibler Information for Marker Detection in the Presence ofAssociation.” Harvard Tech. Rport. pp. 1–3 (1999). 121. “Comments on Sequential Analysis: Some Classical Problems and New Challenges by Tse Leung Lai”, Statistical Sinica, Vol. 11, pp. 351–355. (2001). 122. “A View of the Past, Present, and Future”, Sankhya: The Indian Journal of Statistics, Vol. 64, Series A, pp. 183–192, (2002). 123. “Kullback–Leibler Information for Marker Detection for Families with Heterogeneous Parents.” Harvard Technical Report. pp. 1–3, (1999). 124. “Synchronization of the Acoustic Evidence in the Assassination of President Kennedy” (with Ramsey, Garwin, Horowitz, and Phinney) submitted for publication in Science and Justice, (2002). 125. “Another View of the Classical Problem of Comparing Two Probabilities” Journal of the Iranian Statistical Society, Vol. 1, pp. 35–54, (2002). 126. “Information for Testing the Equality of Two Probabilities from the Margins of the 2 × 2 Table.” submitted to JSPI (2003).