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A New Procedure for Detecting the Population Having More New Better than Used Property Based on U-statistic

Kala Nayak, Parameshwar V. Pandit, Shubhashree Joshi


In this paper, a new test procedure based on U-statistic for detecting a distribution possessing ‘more new better than used (NBU)-ness property of life distributions is proposed to compare two life distributions possessing NBU-ness property. The distributional properties of the proposed U-statistic are studied. The asymptotic relative efficiencies of the proposed procedure is evaluated with respect to the tests available in the literature for this problem. It is observed that the members of proposed class perform well as compared to the test due to Hollander, Park and Proschan (1986).


NBU, Two-sample test, Pitman ARE, U-statistic

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