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On the linear combination of normal and Laplace random variables - MaRDI portal

On the linear combination of normal and Laplace random variables (Q880891)

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scientific article; zbMATH DE number 5158589
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English
On the linear combination of normal and Laplace random variables
scientific article; zbMATH DE number 5158589

    Statements

    On the linear combination of normal and Laplace random variables (English)
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    29 May 2007
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    Let \(Z=\alpha X+\beta Y\), where \(X\) is a Gaussian random variable, \(Y\) is a Laplace random variable, \(X\) and \(Y\) are independent, and \(\alpha\) and \(\beta\) are real numbers. The CDF of \(Z\) is evaluated. A MAPLE program is presented for the computation of quantiles.
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    convolution
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    quantile
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    MAPLE
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    CDF
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