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On sample spacings from IMRL distributions

โœ Scribed by S.N.U.A. Kirmani

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
28 KB
Volume
37
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

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 IMRL but the implication is true under additional restrictions on X. It is, however, true that if Xt:. is IMRL 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.

๐Ÿ“œ SIMILAR VOLUMES

Stochastic orderings between distributio
Stochastic orderings between distributions and their sample spacings โ€“ II
โœ Baha-Eldin Khaledi; Subhash Kochar ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 90 KB

Let X1: n6X2 : n6 โ€ข โ€ข โ€ข 6Xn : n denote the order statistics of a random sample of size n from a probability distribution with distribution function F. Similarly, let Y1: m6Y2:m6 โ€ข โ€ข โ€ข 6Ym : m denote the order statistics of an independent random sample of size m from another distribution with distrib