Limit theorems for the ratio of weak records

Let X1,X2,... be independent identically distributed (iid) random variables (rvs) with support on positive integers and (Wn,n[greater-or-equal, slanted]1) denote the corresponding sequence of weak record values. In the present paper we derive weak and strong limit theorems for the ratio of weak records . We also discuss the asymptotic behavior of a rv [xi]n which counts the number of weak record values that are equal to n.

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Year of publication:	2006
Authors:	Dembinska, A. ; Stepanov, A.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 14, p. 1454-1464
Publisher:	Elsevier
Subject:	Weak records Limit theorems Slowly \| regularly and rapidly varying functions Regularly varying sequences

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005138000