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  • 标题:The Extended Fréchet Distribution: Properties and Applications
  • 本地全文:下载
  • 作者:Mohamed Zayed ; Nadeem Shahfique Butt
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2017
  • 卷号:13
  • 期号:3
  • 页码:529-543
  • DOI:10.18187/pjsor.v13i3.2058
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:In this paper, we study a new model called the Burr X exponentiated Frechet Distribution. The new model exhibits unimodal, unimodal then buthtab and buthtab hazard rates. Various properties of the new model are explored including moments, generating function, probability weighted moments, Stress-strength model and order statisics. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimates are discussed. We compare the flexibility of the proposed model with other extensions of the Frechet distribution by means of two real data sets.
  • 其他摘要:In this paper, we study a new model called the Burr X exponentiated Frechet Distribution. The new model exhibits unimodal, unimodal then buthtab and buthtab hazard rates. Various properties of the new model are explored including moments, generating function, probability weighted moments, Stress-strength model and order statisics. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimates are discussed. We compare the flexibility of the proposed model with other extensions of the Frechet distribution by means of two real data sets.
  • 关键词:Burr X Family; FrØchet distribution; maximum likelihood; Simulation
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