LARGE DEVIATIONS AND DENSITY FUNCTIONS

被引：0

作者：

KILLEEN, TJ

机构：

[1] The University of Connecticut, Connecticut

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1979年 / 31卷 / 02期

关键词：

A.M.S. 1970 subject classification: primary 6216; secondary; 6030; density; large deviation;

D O I：

10.1007/BF02480288

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：

Suppose that X 1, X 2, ... is a sequence of absolutely continuous or integer valued random variables with corresponding probability density functions f n (x). Let {φ n } n=1 ∞ be a sequence of real numbers, then necessary and sufficient conditions are given for n -1 log f n (φ n )-n -1 log P (X n >φ n )=0(1) as n→∞. © 1979 Kluwer Academic Publishers.

引用

页码：315 / 317

页数：3