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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.

Testing uniformity based on negative cumulative extropy