A method of constructing test for the parameter of family of lifetime distributions under Type-II censored sample

Abstract

This study considers method of constructing tests for the hypothesis on parameter of a family of lifetime distributions under type-II censored sample. We propose three test statistics F and The performance of these statistics, in terms of power, is studied through simulation for different values of parameter of Burr-XII distribution, log-bathtub distribution, Weibull distribution, and two-parameter exponential distribution. The percentile points and powers for testing the parameter in each of these distributions, are simulated. For these distributions, the test based on quadratic form andperforms better than the test F in identifying or alternatives for some member of the family of distributions. One numerical example is also given.