Estimation R=Pr(Y> X) for a Family of Lifetime Distributions by Transformation Method

  • Surinder Kumar Department of Statistics, School for Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India
  • Prem Lata Gautam Department of Statistics, School for Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India
Keywords: Family of lifetime distributions, uniformly minimum variance unbiased estimator, maximum likelihood estimator, confidence interval, bayes estimator.

Abstract

For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.

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Author Biographies

Surinder Kumar, Department of Statistics, School for Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India

Surinder Kumar, Head, Dept. of Statistics, BBAU (A central University), Lucknow – India. He is having 26 years research experience in various research fields of Statistics such as Sequential Analysis, Reliability Theory, Business Statistics and Bayesian Inference. Prof. Kumar has published more than 60 research publications in various journals of national and international repute.

Prem Lata Gautam, Department of Statistics, School for Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India

Prem Lata Gautam, Dept. of Statistics, BBAU (A Central University) Lucknow, India. She has research experiences of 6 years and has also published 6 research articles in various reputed journals in the field of Sequential analysis, Bayesian estimation and Reliability theory and wholesome knowledge of many softwares and language like R Software, Mathematica and Fortron.

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Published
2021-08-30
Section
Articles