On the Generalized Lognormal Distribution

Thomas L. Toulias and Christos P. Kitsos

Journal of Probability and Statistics, 2013, vol. 2013, 1-15

Abstract:

This paper introduces, investigates, and discusses the -order generalized lognormal distribution ( -GLD). Under certain values of the extra shape parameter , 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 -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 -GLD are also studied.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:432642

DOI: 10.1155/2013/432642

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