The median of the poisson distribution

被引：19

作者：

Adell, JA ^{[1
]}

Jodrá, P ^{[1
]}

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Metodos Estadisticos, E-50009 Zaragoza, Spain

来源：

METRIKA | 2005年 / 61卷 / 03期

关键词：

Poisson distribution; median; mean; central limit theorem; Poisson-gamma relation; Poisson mixture;

D O I：

10.1007/s001840400350

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：

The purpose of this paper is twofold: first, to provide a closed form expression for the median of the Poisson distribution and, second, to improve the known estimates of the difference between the median and the mean of the Poisson distribution. We use elementary techniques based on the monotonicity of certain sequences involving tail probabilities of the Poisson distribution and the Central Limit Theorem.

引用

页码：337 / 346

页数：10

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