Compound Poisson approximations for sums of 1-dependent random variables. I

被引：0

作者：

J. Petrauskienė

V. Čekanavičius

机构：

[1] Vilnius University,

来源：

Lithuanian Mathematical Journal | 2010年 / 50卷

关键词：

primary 60F05; secondary 60G50; 2-runs; compound Poisson distribution; -dependent variables; total variation norm; local norm;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We approximate two-runs statistic by various compound Poisson distributions and second-order asymptotic expansions. The accuracy of approximation is estimated in the total-variation and local metrics. For a special case, asymptotically sharp constants are calculated. Heinrich’s method is used in the proofs.

引用

页码：323 / 336

页数：13

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