kth records from discrete distributions

被引：14

作者：

Dembinska, A ^{[1
]}

López-Blázquez, F

机构：

[1] Warsaw Univ Sci & Technol, Wydzial Matemat & Nauk Informacyjnych, PL-00661 Warsaw, Poland

[2] Univ Sevilla, Dept Estadist & Invest Operativa, Seville, Spain

来源：

STATISTICS & PROBABILITY LETTERS | 2005年 / 71卷 / 03期

关键词：

kth records; discrete distribution; geometric and geometric tail distributions;

D O I：

10.1016/j.spl.2004.11.001

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：

Dziubdziela and Kopocinski (Zastosowania Matematyki 15 (1976) 187-190) introduced a definition of kth records as a strictly increasing sequence of kth largest observations yet seen. Later in the literature appeared another definition of kth records which allowed ties between succesive kth record values. These two definitions are considered to be equivalent. This note shows that it is not true if the underlying distribution is discrete. Also a third definition is possible: weak kth records. We investigate properties of the distribution of kth records from discrete distributions in the three cases. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：203 / 214

页数：12