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On sample spacings from IMRL distributions
STA~C$ & PROBABILITY L-,, i~$ ELSEVIER
Statistics & Probability Letters 37 (1998) 315
Erratum On sample spacings from IMRL distributions S.N.U.A. Kirmani Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614-0506, USA
[Statist. & Probab. Lett. 29 (1996) 159-166] 1
The objective of this correction note is to point out that the proof of part (a) of Lemma 1 is not valid because, when X is IMRL, the sign of ~(t) is negative rather than positive. Recent investigations suggest that X is IMRL does not imply that Xt :. is I M R L but the implication is true under additional restrictions on X. It is, however, true that if Xt:. is I M R L then so is XI:,. for all m = 1, ..., n - 1 . In view of the above, the hypotheses in Corollary I and Theorems 1-3, and 4(a) should be strengthened to the assumption that X1 :. is IMRL.
1SSDI of original article: S0167-7152(95)00169-7. 0167-7152/98/$19.00 © 1998 Elsevier Science B.V. All rights reserved Pll S 0 1 6 7 - 7 1 5 2 ( 9 7 ) 0 0 1 3 2 - 6
Statistics & Probability Letters 37 (1998) 315
Erratum On sample spacings from IMRL distributions S.N.U.A. Kirmani Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614-0506, USA
[Statist. & Probab. Lett. 29 (1996) 159-166] 1
The objective of this correction note is to point out that the proof of part (a) of Lemma 1 is not valid because, when X is IMRL, the sign of ~(t) is negative rather than positive. Recent investigations suggest that X is IMRL does not imply that Xt :. is I M R L but the implication is true under additional restrictions on X. It is, however, true that if Xt:. is I M R L then so is XI:,. for all m = 1, ..., n - 1 . In view of the above, the hypotheses in Corollary I and Theorems 1-3, and 4(a) should be strengthened to the assumption that X1 :. is IMRL.
1SSDI of original article: S0167-7152(95)00169-7. 0167-7152/98/$19.00 © 1998 Elsevier Science B.V. All rights reserved Pll S 0 1 6 7 - 7 1 5 2 ( 9 7 ) 0 0 1 3 2 - 6