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

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