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Convergence of the empirical distribution to the poisson process

 

作者: ATA Al-Hussaini,   J. elliott Robert,  

 

期刊: Stochastics  （Taylor Available online 1984）
卷期: Volume 13, issue 4  

页码: 299-308

 

ISSN:0090-9491

 

年代: 1984

 

DOI:10.1080/17442508408833325

 

出版商: Gordon and Breach Science Publishers Inc

 

数据来源: Taylor

 

摘要:

A process associated with the empirical distribution of a family of positive i.i.d. random variables is shown to converge to a rate changed Poisson process when the distribution function is differentiable at zero. Furthermore, when the distribution function is differentiable in a neighbourhood of zero an estimate for the rate of convergence is obtained.

 

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