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- W161493521 abstract "A moment inequality for the class of renewal new is better than renewal used in (RNBRU) of ageing distributions is derived. This class is defined based on comparing the residual equilibrium life at a certain age and its equilibrium (stationary) life . This inequality demonstrate that if the mean life is finite,then all higher order moments exist. A new test statistics for testing exponentiality against RNBRU is investigating based on this inequality. The asymptotic normality of the proposed statistic is presented. Pitman’s asymptotic efficiency of the test and critical values of the proposed statistic are calculated. It is shown that ,the proposed statistic has a high asymptotic relative efficiency with respect to tests of other classes for commonly used alternatives. The set of real data is used as a practical application of the proposed test in the medical science." @default.
- W161493521 created "2016-06-24" @default.
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- W161493521 date "2009-01-01" @default.
- W161493521 modified "2023-09-27" @default.
- W161493521 title "On Testing Statistics of Renewal New Better than Renewal Used Class of Life Distributions" @default.
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