A new class of life distributions with hypotheses testing applications

Document Type


Publication Date

Spring 5-1-2015


In this work a new class of life distribution is introduced, named exponential better than used in Laplace transform order (EBUL). Test statistic for testing exponentiality versus (EBUL) based on U-statistic is proposed. Pitman’s asymptotic efficiencies of the test are calculated and compared with other tests. The percentiles of this test statistic are calculated for non-censored and censored data.The powers of this test are estimated for some famously alternatives distributions in reliability such as Weibull, Gamma and linear failure rate (LFR) distributions. Finally, examples in different areas are used as practical applications of the proposed test.