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Log‐Gamma Distribution

Ping Shing Chan

Open publisher page 4 citations

Abstract

Abstract The density function of a log‐gamma distribution is given. Its moment generating function and hence the mean, variance, coefficients of skewness, and kurtosis are derived. Two other forms of the distribution under reparametrization are also given such that the normal distribution is included as a member of the distribution. Its relationship to the generalized gamma distribution will also be discussed

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What this paper is about

Abstract The density function of a log‐gamma distribution is given. Its moment generating function and hence the mean, variance, coefficients of skewness, and kurtosis are derived. Two other forms of the distribution under reparametrization are also given such that the normal distribution is included as a member of the distribution. Its relationship to the generalized gamma distribution will also be discussed

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Available abstract

Abstract The density function of a log‐gamma distribution is given. Its moment generating function and hence the mean, variance, coefficients of skewness, and kurtosis are derived. Two other forms of the distribution under reparametrization are also given such that the normal distribution is included as a member of the distribution. Its relationship to the generalized gamma distribution will also be discussed

Key concepts: Kurtosis, Variance-gamma distribution, Gamma distribution, Generalized gamma distribution, Skewness, Mathematics, Distribution (mathematics), Inverse-gamma distribution

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