Stress–Strength Reliability for the Unit-Lindley Distribution with an Application

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The unit-Lindley distribution has recently been introduced in the literature as an alternative to the beta and the Kumaraswamy distributions in support (0,1). This distribution enjoys many virtuous properties over the mentioned distributions. In this article, we address the issue of parameter estimation from a Bayesian perspective and study relative performance of different estimators through extensive simulation experiments. Significant emphasis is given to the estimation of stress–strength reliability employing classical as well as Bayesian approach. Application of an intuitive metric of discrepancy derived from stress–strength reliability is considered and computed for two different geographic regions with respect to an important public health indicator. AMS 2010 subject classifications: 62F10, 62P05.