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A representation for an H-function through statistical techniques (Q1059198)

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scientific article; zbMATH DE number 3903050
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English
A representation for an H-function through statistical techniques
scientific article; zbMATH DE number 3903050

    Statements

    A representation for an H-function through statistical techniques (English)
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    1984
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    The author considers a product of k independent random variables which are positive powers of real beta type-1 random variables. The density is worked out by transformation of variables and by Mellin transform techniques. One method leads to an H-function and the other to integral representations. Thus multiple integral representations are obtained for an H-function. This paper is a generalization of the article of this reviewer with \textit{W. J. Anderson} [Math. Proc. Camb. Philos. Soc. 96, 325-330 (1984; reviewed above)].
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    powers of beta variables
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    products of beta variables
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    beta type-1 random variables
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    Mellin transform
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    integral representations
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