Some results on sequential order statistics

Sequential order statistics, is an extension of the usual order statistics and used formodelling lifetimes of sequential r -out-of- n systems, coming from non-homogeneousexponential distributions are considered. Via the likelihood approach, statistical proceduresincluding estimation, either point or interval, of the parameters as well as the generalizedlikelihood ratio are derived for testing homogeneity of the exponential populations. It isshown that the generalized likelihood ratio in this case is scale invariant.

کلیدواژه ها:

Estimation ، Hypotheses testing ، generalized likelihood ratio