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  • 标题:Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications
  • 本地全文:下载
  • 作者:Eman H. Khalifa ; Dina A. Ramadan ; B. S. El-Desouky
  • 期刊名称:Open Journal of Modelling and Simulation
  • 印刷版ISSN:2327-4018
  • 电子版ISSN:2327-4026
  • 出版年度:2021
  • 卷号:9
  • 期号:3
  • 页码:281-298
  • DOI:10.4236/ojmsi.2021.93019
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, we derived a new distribution named as truncated Weibull Rayleigh (TW-R) distribution. Its characterization and statistical properties are obtained, such as reliability function, hazard function, reversed hazard rate function, cumulative hazard rate function, quantile function, rth moment, incomplete moments, Rényi and q entropies and order statistic. Parameter estimation is implemented using method of maximum-likelihood estimation and Fisher information matrix is derived. Finally, application of the presented new distribution to a real data representing the failure times of 63 airbcraft Windshield is given and its goodness-of-fit is demonstrated. In addition to, comparisons to other models are implemented to show the flexibility of the presented model.
  • 关键词:Rayleigh Distribution;Truncated Weibull G-Family;Moments;Entropies;Quantile Function;Order Statistic;Maximum Likelihood Estimator
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