On the Generalized Lognormal Distribution

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...

Full description

Saved in:
Bibliographic Details
Published inJournal of Probability and Statistics Vol. 2013; no. 2013; pp. 107 - 121
Main Authors Toulias, Thomas L., Kitsos, Christos P.
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1687-952X
1687-9538
DOI:10.1155/2013/432642