This paper deals with the estimation of Stress Strength reliability, R=P(Y <X) when X and Y are two independent Power function distributions with different shape parameters but having the same scale parameter and the data on strength are record values. The maximum likelihood estimators and the Bayes estimators under squared error loss function and linex loss function of the reliability under stress- strength model for the power function distribution are obtained. Effectiveness of these estimators are evaluated using Monte Carlo simulation study.
Dr. Dhanya M. and Jeevanand, S., “Stress Strength reliability of Power Function Distribution based on Records”, Journal of Statistical Application and Probability, vol. 7, no. 1, pp. 39-48, 2018.