On the Generalized Lognormal Distribution
نویسندگان
چکیده
This paper introduces, investigates, and discusses the γ-order generalized lognormal distribution (γ-GLD). Under certain values of the extra shape parameter γ, the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as the degenerate Dirac distribution.The shape of all themembers of the γ-GLD family is extensively discussed.The cumulative distribution function is evaluated through the generalized error function, while series expansion forms are derived. Moreover, the moments for the γGLD are also studied.
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