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  • 标题:On the Generalized Lognormal Distribution
  • 本地全文:下载
  • 作者:Thomas L. Toulias ; Christos P. Kitsos
  • 期刊名称:Journal of Probability and Statistics
  • 印刷版ISSN:1687-952X
  • 电子版ISSN:1687-9538
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/432642
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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