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Bounds for moments through a general orthogonal expansion in a pre‐hilbert space‐II

 

作者: A. M. Mathai,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1976）
卷期: Volume 4, issue 1  

页码: 1-12

 

ISSN:0319-5724

 

年代: 1976

 

DOI:10.2307/3315260

 

出版商: Wiley‐Blackwell

 

关键词: Order statistics;bounds for moments;orthogonal expansions;pre‐Hilbert space;product moments;symmetric distributions;square integrable functions in a unit cube.

 

数据来源: WILEY

 

摘要:

AbstractIn an earlier article [Canad. J. Statist., Vol, 3, No. 1, 1975, 13–34] bounds are obtained for the product moments of an arbitrary finite number of ordered random variables. These bounds are obtained with the help of a representation of an arbitrary function in terms of a complete orthonormal system in a pre‐Hilbert space of square integrable functions defined in ak‐dimensional unit cube. These results are extended to symmetric cases in this ar

 

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