Scale Mixtures of Normal Distributions

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ID: 297261
1974
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Ranked #27 of 154 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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Abstract
Summary This paper presents necessary and sufficient conditions under which a random variable X may be generated as the ratio Z/V where Z and V are independent and Z has a standard normal distribution. This representation is useful in Monte Carlo calculations. It is established that when 1/2V 2 is exponential, X is double exponential; and that when 1/2V has the asymptotic distribution of the Kolmogorov distance statistic, X is logistic.
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Authors
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 1974
DOI
10.1111/j.2517-6161.1974.tb00989.x
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