Characterizations of geometric distributions based on kth record values

被引：2

作者：

Jasinski, Krzysztof ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Ul Chopin 12-18, PL-87100 Torun, Poland

来源：

STATISTICS | 2018年 / 52卷 / 05期

关键词：

kth records; regression; independence; discrete distribution; geometric distribution; DISCRETE-DISTRIBUTIONS; WEAK RECORDS; MAXIMUM VARIANCE; SHARP BOUNDS; MOMENTS; EXPECTATIONS;

D O I：

10.1080/02331888.2018.1495209

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let (R-n((k)), n >= 0) be a sequence of kth records arising from the geo-metric distribution. We show that for k >= 2 and s >= 1 the random variables R-n((k) )-R-n((k)) and R-n((k)) are independent or the regression of R-n+s((k)) - R(n)((k))given R-n((k)) is constant iff n = 0. Moreover, we prove two characterizations of the geometric distribution based on some properties of kth records.

引用

页码：1116 / 1127

页数：12

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