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

Chaturvedi Aditi () and Kumar Surinder ()
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Chaturvedi Aditi: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India .
Kumar Surinder: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India .

Statistics in Transition New Series, 2022, vol. 23, issue 1, 129-152

Abstract: 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.

Keywords: interval estimation; Kumaraswamy-G distributions; Monte-Carlo simulation; point estimation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:23:y:2022:i:1:p:129-152:n:8

DOI: 10.2478/stattrans-2022-0008

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