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A combinatorial method for products of generalizedh‐statistics

 

作者: D. S. Tracy,   B. C. Gupta,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1973）
卷期: Volume 1, issue 1‐2  

页码: 25-33

 

ISSN:0319-5724

 

年代: 1973

 

DOI:10.2307/3314645

 

出版商: Wiley‐Blackwell

 

关键词: Combinatorial method;h‐statistics;k‐statistics;generalized h‐statistics;polykays;symmetric mean;sampling moments;pattern;c‐pattern;pattern function;partition;multipartition;proper part

 

数据来源: WILEY

 

摘要:

AbstractThe h‐statistic h (Dwyer [1]) is extended to the generalized h‐statistic hP1…Pssuch that E(hP1…Ps) with properties similar to polykays. In order to obtain their sampling moments, formulas expressing their products as linear combinations of the same are required. The paper presents a combinatorial method to achieve this. Certain rules are developed and applied to obtain products through w

 

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