Testing the dilation order by using cumulative residual Tsallis entropy

摘要

In this paper, we introduce a new test for the dilation order based on cumulative residual Tsallis entropy of order alpha. The effect of the values of parameter alpha on the power of the test statistics is numerically investigated. The asymptotic distribution of the test statistic is given. The performance of the test statistic is evaluated using a simulation study. Finally, some numerical examples illustrating the theory are also given.