On the Generalized Lognormal Distribution

• Published in: Journal of Probability and Statistics Vol. 2013; no. 2013; pp. 107 - 121
• Main Authors: Toulias, Thomas L., Kitsos, Christos P.
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2013; Hindawi Puplishing Corporation; Hindawi Publishing Corporation; John Wiley & Sons, Inc; Hindawi Limited
• Subjects: Distribution (Probability theory); Distribution functions; Error functions; Logarithms; Mathematical research; Series expansion; Statistics

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...