On the asymptotics of discrete order statistics

被引：6
|
作者：
Athreya, JS [1 ]
Sethuraman, S [1 ]
机构：
[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA
来源：
STATISTICS & PROBABILITY LETTERS | 2001年 / 54卷 / 03期
关键词：
order statistics; uniqueness; extreme; asymptotics;
D O I：
10.1016/S0167-7152(01)00042-6
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 X-1,X-2,...,X-n be a sequence of independent, identically distributed positive integer random variables. We study the asymptotics of the likelihood that the sample maximum is achieved k times and in its spacing relative to the second highest value, Earlier and other results are discussed in context. Also, some investigation is made when the sample is Markovian, Different results emerge in this case. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：243 / 249
页数：7
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