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  • 标题:Optimum Group Limits for Maximum LikelihoodEstimation of the Exponentiated FréchetDistribution Based on Grouped Data
  • 本地全文:下载
  • 作者:A. A. Marwa ; Hegazy Zaher ; E. A. Elsherpieny
  • 期刊名称:Current Journal of Applied Science and Technology
  • 印刷版ISSN:2457-1024
  • 出版年度:2013
  • 卷号:3
  • 期号:4
  • 页码:1464-1480
  • 语种:English
  • 出版社:Sciencedomain International
  • 摘要:In many situations, instead of a complete sample, data are available only in grouped form. In this situation the values of individual observations are not known, but the number of observations that fall in each group is only known. Here the model under consideration is the exponentiated Fréchet distribution. The aim of this paper is finding the MLE's for the parameters of the exponentiated Fréchet distribution based on grouped data. The asymptotic variance-covariance matrix has been derived and computed numerically. Optimal group limits in the case unequi-spaced groupings so as to have a maximum asymptotic relative efficiency are worked out.
  • 关键词:Maximum likelihood estimation;exponentiated fréchet distribution;grouped data;optimum grouping
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