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

Mathai A. M. | Zendy

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

Author(s) -

Mathai A. M.

Publication year - 1975

Publication title -

canadian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.804

H-Index - 51

eISSN - 1708-945X

pISSN - 0319-5724

DOI - 10.2307/3315096

Subject(s) - square integrable function , orthonormal basis , hilbert space , mathematics , representation (politics) , integrable system , space (punctuation) , cube (algebra) , product (mathematics) , pure mathematics , unit cube , rigged hilbert space , square (algebra) , orthonormality , orthogonal functions , mathematical analysis , combinatorics , reproducing kernel hilbert space , physics , geometry , computer science , operating system , politics , political science , law , quantum mechanics

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 a k‐dimensional unit cube.

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