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Chaturvedi, Aditi [Author]; Kumar, Surinder [Author]

Estimation procedures for reliability functions of Kumaraswamy-G Distributions based on Type II Censoring and the sampling scheme of Bartholomew

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  • Media type: E-Article
  • Title: Estimation procedures for reliability functions of Kumaraswamy-G Distributions based on Type II Censoring and the sampling scheme of Bartholomew
  • Contributor: Chaturvedi, Aditi [Author]; Kumar, Surinder [Author]
  • Published: 2022
  • Published in: Statistics in transition ; 23(2022), 1 vom: März, Seite 129-152
  • Language: English
  • DOI: 10.2478/stattrans-2022-0008
  • Identifier:
  • Keywords: interval estimation ; Kumaraswamy-G distributions ; Monte-Carlo simulation ; point estimation ; Aufsatz in Zeitschrift
  • Origination:
  • Footnote:
  • Description: In this paper, we consider Kumaraswamy-G distributions and derive a Uniformly Minimum Variance Unbiased Estimator (UMVUE) and a Maximum Likelihood Estimator (MLE) of the two measures of reliability, namely R(t) = P(X > t) and P = P(X > Y ) under Type II censoring scheme and sampling scheme of Bartholomew (1963). We also develop interval estimates of the reliability measures. A comparative study of the different methods of point estimation has been conducted on the basis of simulation studies. An analysis of a real data set has been presented for illustration purposes.
  • Access State: Open Access
  • Rights information: Attribution - Share Alike (CC BY-SA)