Jackknife Empirical Likelihood Ratio Test for Decreasing Mean Residual Life

Abstract

Empirical likelihood is a nonparametric way of statistical inference which makes use of the effectiveness of nonparametric as well as likelihood approaches. We develop empirical likelihood (EL) and Jackknife empirical likelihood (JEL) ratio tests for decreasing mean residual life (DMRL). The asymptotic properties of empirical and jackknife empirical log likelihood ratio statistics are studied. We have performed a Monte Carlo simulation study to compare the performance of the proposed test. Finally, the proposed method is illustrated through three real data sets.