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Comparison of Records and Maxima.

Authors :
Impert, Agnieszka
Rychlik, Tomasz
Source :
Communications in Statistics: Theory & Methods. May2007, Vol. 36 Issue 7, p1397-1408. 12p. 3 Charts.
Publication Year :
2007

Abstract

We establish best upper bounds on the expected differences of records and sample maxima, and kth records and kth maxima based on sequences of independent random variables with identical continuous distribution and finite variance. The bounds are expressed in terms of the standard deviation units of the parent distribution. We also provide conditions for attaining the bounds. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610926
Volume :
36
Issue :
7
Database :
Academic Search Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
25084889
Full Text :
https://doi.org/10.1080/03610920601077162