ON THE UNIFORM-CONVERGENCE OF NORMALIZED POISSON MIXTURES TO THEIR MIXING DISTRIBUTION

被引：10

作者：

ADELL, JA

DELACAL, J

机构：

[1] UNIV ZARAGOZA, ZARAGOZA, SPAIN

[2] UNIV BASQUE COUNTRY, FAC CIENCIAS, DEPT MATEMAT APLICADA & ESTADIST & INVEST, E-48080 BILBAO, SPAIN

来源：

STATISTICS & PROBABILITY LETTERS | 1993年 / 18卷 / 03期

关键词：

POISSON MIXTURES; UNIFORM DISTANCE; LAPLACE TRANSFORM; GAMMA DISTRIBUTION;

D O I：

10.1016/0167-7152(93)90221-4

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：

Under fairly general assumptions, we obtain the exact order of convergence, in the uniform distance, of normalized Poisson mixtures to their mixing distribution. This entails giving sharp rates of convergence in the classical inversion theorem for Laplace transforms.

引用

页码：227 / 232

页数：6

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