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  • 标题:Inference on Reliability in the Gamma and Inverted Gamma Distributions
  • 本地全文:下载
  • 作者:Jungsoo Woo
  • 期刊名称:Pakistan Journal of Statistics and Operation Research
  • 印刷版ISSN:2220-5810
  • 出版年度:2012
  • 卷号:8
  • 期号:3
  • 页码:635-643
  • DOI:10.1234/pjsor.v8i3.533
  • 语种:English
  • 出版社:College of Statistical and Actuarial Sciences
  • 摘要:Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} We derive distributions of ratio for two independent gamma variables and two independent inverted gamma variables and then we observe the skewness of two ratio densities. We then consider inference on reliability in two independent gamma random variables and two independent inverted gamma random variables each having known shape parameters.
  • 关键词:Beta function, Hypergeometric function, Inverted gamma, Likelihood ratio test, Reliability, Whittaker function.
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