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

• Authors: Aditi Chaturvedi , Surinder Kumar

Abstracts

EN

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

EN

interval estimation; Kumaraswamy-G distributions; Monte-Carlo simulation; point estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2022
• Volume: 23
• Issue: 1
• Pages: 129-152

Dates

published

2022

Contributors

author

Aditi Chaturvedi

• Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

author

Surinder Kumar

• Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

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Identifiers

DOI

10.21307/stattrans-2022-008

Biblioteka Nauki

2034110