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

 

作者: A. M. Mathai,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1975）
卷期: Volume 3, issue 1  

页码: 13-35

 

ISSN:0319-5724

 

年代: 1975

 

DOI:10.2307/3315096

 

出版商: Wiley‐Blackwell

 

关键词: Order statistics, bounds for moments, orthogonal expansions, pre‐Hilbert space, product moments of order statistics, square integrable functions in a unit cube

 

数据来源: WILEY

 

摘要:

AbstractBounds 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 a k‐dimensional unit c

 

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