Class of Tests for New Better than Used Life Distributions

Abstract

A class of test statistics for testing exponentiality against new better than used (NBU) alternatives is considered. The proposed class is based on a sub sample minima. The distributional properties of the class of test statistics are studied. . The properties of the test procedure such as asymptotic normality, consistency are established. The performance of the class of test statistics with respect to the existing tests in the literature is studied in terms of Pitman asymptotic relative efficiency (ARE).