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Bayesian estimation of stress strength reliability P[X>Y] of Lomax and exponential distribution based on right censored sample
International Journal of Statistics and Applied Mathematics · 2021 · Vol. 6(2) · pp. 27–30
Neethu Jacob✉(Nirma (India))E. S. Jeevanand(Nirma (India))
Abstract
The present paper is concerned with the estimation of stress strength reliability R=P[X>Y] when X and Y are the random variables following Lomax and Exponential Distribution based on right censored sample. The main aim of this article is to estimate the Maximum Likelihood estimates of R and Bayesian Estimates of R under Squared Error Loss function, Linex Loss function and Entropy Loss function. Finally the performance of the estimators are evaluated by simulation study.
Statistical Distribution Estimation and ApplicationsReliability and Maintenance OptimizationAdvanced Statistical Process MonitoringLomax distributionMathematicsStatisticsEstimatorBayes estimatorExponential distributionMean squared errorExponential functionRandom variableMaximum likelihood
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