Functional central limit theorems for certain statistics in an infinite urn scheme

被引：14

作者：

Chebunin, Mikhail ^{[1
]}

Kovalevskii, Artyom ^{[1
,2
,3
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk, Russia

[2] Novosibirsk State Tech Univ, Novosibirsk, Russia

[3] Novosibirsk State Univ Econ & Management, Novosibirsk, Russia

来源：

STATISTICS & PROBABILITY LETTERS | 2016年 / 119卷

关键词：

Infinite urn scheme; Relative compactness; Slow variation;

D O I：

10.1016/j.spl.2016.08.019

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：

We investigate a specific infinite urn scheme first considered by Karlin (1967). We prove functional central limit theorems for the total number of urns with at least k balls for any k >= 1. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：344 / 348

页数：5