On the generalized lognormal distribution

TL Toulias, CP Kitsos - Journal of Probability and Statistics, 2013 - Wiley Online Library
TL Toulias, CP Kitsos
Journal of Probability and Statistics, 2013Wiley Online Library
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 the members 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 …
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 the members 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 γ‐GLD are also studied.
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