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The generalized Cantor distribution and its corresponding inverse distribution (Q553016)

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scientific article; zbMATH DE number 5932066
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English
The generalized Cantor distribution and its corresponding inverse distribution
scientific article; zbMATH DE number 5932066

    Statements

    The generalized Cantor distribution and its corresponding inverse distribution (English)
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    26 July 2011
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    In the first part of this paper the author introduces two new distributions: the generalized Cantor distribution and a corresponding skew generalized Cantor distribution. Some properties of these distributions such as moment generating functions, moments and the moments of the order statistics are derived. In the second part of the paper the author considers the associated inverse distributions and derives some of these properties. At the end of the paper possible bivariate and multivariate extensions of these distributions are discussed.
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    skew generalized Cantor distribution
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    moment estimates
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    bivariate Cantor distribution
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