A Generalized Version of Foster and Stuart`s d-statistic

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
A Generalized Version of Foster and Stuart`s d-statistic

A Generalized Version of Foster and Stuart`s d-statistic

Pages : 98-110

View : 14 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :Assume that only the lists of upper k-records and lower k-records of a finite sequence are available and the existence of a monotonic trend in location is interested in. In this study, a distribution-free test based on the difference between the numbers of upper and lower k-records is proposed for this situation. The exact and asymptotic distributions of the proposed test statistic are obtained for a random continuous sequence which is independent and identically distributed insert ignore into journalissuearticles values(i.i.d.);. Also, a comparison between the proposed test and some well-known distribution-free tests is made in terms of empirical powers.
Keywords : Monotonic trend in location, kth records, Top k lists, Bottom k lists, Distribution free test, Empirical power comparison

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