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The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line - MaRDI portal

The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line (Q909373)

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scientific article; zbMATH DE number 4137175
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English
The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line
scientific article; zbMATH DE number 4137175

    Statements

    The expectation of \(X^{-1}\) as a function of \({\mathbb{E}}(X)\) for an exponential family on the positive line (English)
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    1989
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    reciprocal of a random variable
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    gamma distributions
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    inverse-Gaussian distributions
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    Ressel families
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    natural exponential family on the positive real line
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    expectation
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    affine function
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    Abel families
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