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ArticleOriginal scientific text

Title

Evaluating improvements of records

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, ul. Chopina 12/18, 87-100 Toruń, Poland

Abstract

We evaluate the extreme differences between the consecutive expected record values appearing in an arbitrary i.i.d. sample in the standard deviation units. We also discuss the relevant estimates for parent distributions coming from restricted families and other scale units.

Keywords

ENG
monotone failure rate, monotone failure probability, record value, projection, sharp bound, variance, central absolute moment, independent identically distributed variables

Bibliography

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  3. I. R. Dunsmore, The future occurrence of records, Ann. Inst. Statist. Math. 35 (1983), Part A, 267-277.
  4. L. Gajek and T. Rychlik, Projection method for moment bounds on order statistics from restricted families. I. Dependent case, J. Multivariate Anal. 57 (1996), 156-174.
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  8. W. R. van Zwet, Convex Transformations of Random Variables, Mathematisch Centrum, Amsterdam, 1964.
Applicationes Mathematicae
1996-1997/24/3
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Pages:
315-324
Main language of publication
English
Received
1996-05-16
Published
1997
Exact and natural sciences