STATISTICAL EVIDENCES IN SEQUENTIAL ORDER STATISTICS ARISING FROM GENERAL FAMILY OF LIFETIME DISTRIBUTIONS

Abstract

In this paper, statistical evidences in sequential order statistic (SOS) coming from generalclass of lifetime distributions, proposed by AL-Hussaini [1], is considered. Weak and misleading evidencesin multiply SOS samples for both simple and composite hypotheses about the parameters of interest arederived in explicit expressions and their behaviours with respect to the model parameters are studied indetails. In presence of nuisance parameters, the approximate evidences are also given. Moreover, the typesand II Pareto family are investigated for illustrative purposes. Optimal sample sizes given minimumdesired level for the decisive and the correct probabilities are provided