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  • 标题:Characteristic and Moment Generating Functions of Generalised Pareto (GP3) and Weibull Distributions
  • 本地全文:下载
  • 作者:G. Muraleedharan ; C. Guedes Soares
  • 期刊名称:Journal of Scientific Research and Reports
  • 电子版ISSN:2320-0227
  • 出版年度:2014
  • 卷号:3
  • 期号:14
  • 页码:1861-1874
  • DOI:10.9734/JSRR/2014/10087
  • 出版社:Sciencedomain International
  • 摘要:The characteristic functions ( CHFs ) are derived for GP3 (generalized Pareto) distribution for shape parameters ξ ≠ 0 and ξ = 0 in explicit closed forms. The CHF of 3-parameter Weibull (type-3extreme value distribution (EVD)) is also derived in a closed form by a direct methodology. Moment-generating functions ( MGFs ) of the distributions are also derived and parametric relations of certain basic properties of the distributions are also obtained. Model estimation by the method of L-moments is also provided.
  • 关键词:Characteristic function; moment generating function; GP3 distribution; 3- parameter Weibull distribution.
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