@article{Krishna_Dube_Garg_2018, title={Estimation of Stress Strength Reliability of Inverse Weibull Distribution under Progressive First Failure Censoring}, volume={48}, url={https://ajs.or.at/index.php/ajs/article/view/638}, DOI={10.17713/ajs.v47i4.638}, abstractNote={<p>In this article, estimation of stress-strength reliability $\delta=P\left(Y<X\right)$ based on progressively first failure censored data from two independent inverse Weibull distributions with different shape and scale parameters is studied. Maximum likelihood estimator and asymptotic confidence interval of $\delta$ are obtained. Bayes estimator of $\delta$ under generalized entropy loss function using non-informative and gamma informative priors is derived. Also, highest posterior density credible interval of $\delta$ is constructed. Markov Chain Monte Carlo (MCMC) technique is used for Bayes computation. The performance of various estimation methods are compared by a Monte Carlo simulation study. Finally, a pair of real life data is analyzed to illustrate the proposed methods of estimation.</p>}, number={1}, journal={Austrian Journal of Statistics}, author={Krishna, Hare and Dube, Madhulika and Garg, Renu}, year={2018}, month={Dec.}, pages={14–37} }