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  • 标题:A Two Parameters Rani Distribution: Estimation and Tests for Right Censoring Data with an Application
  • 本地全文:下载
  • 作者:Amer Ibrahim Al-Omari ; Khaoula Aidi ; Nacira Seddik-Ameur
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2021
  • 卷号:17
  • 期号:4
  • 页码:1037-1049
  • DOI:10.18187/pjsor.v17i4.3522
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:In this paper, we developed a new distribution, namely the two parameters Rani distribution (TPRD). Some statistical properties of the proposed distribution are derived including the moments, moment-generating function, reliability function, hazard function, reversed hazard function, odds function, the density function of order statistics, stochastically ordering, and the entropies. The maximum likelihood method is used for model parameters estimation. Following the same approach suggested by Bagdonavicius and Nikulin (2011), modified chi squared goodness-of-fit tests are constructed for right censored data and some tests for right data is considered. An application study is presented to illustrate the ability of the suggested model in fitting aluminum reduction cells sets and the strength data of glass of the aircraft window.
  • 关键词:Two parameters Rani distribution; Modified chi-square test; Reliability analysis; Rényi entropy; Stochastic ordering; Censored data
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