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Articles

Testing uniformity based on negative cumulative extropy

Pages 4998-5009 | Received 10 Apr 2021, Accepted 27 Oct 2021, Published online: 11 Nov 2021
 

Abstract

Recently, extropy as an alternative measure of uncertainty has been widely used in statistical procedures. In this article, we present some properties of the negative cumulative residual extropy and then propose a test for uniformity. An approximation of distribution of the test statistic is derived. The mean, variance and the asymptotic null distribution of the test statistic is presented. Percentage points and power against seven alternatives are reported. The results of a simulation study show the test is competitive in terms of power. Moreover, the proposed statistic is easy to compute and can approximate by the beta distribution.

Acknowledgements

The author is grateful to anonymous referees and the associate editor for providing some useful comments on an earlier version of this manuscript.

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