In this paper, a goodness-of-fit test for the Laplace distribution based on the informational energy is proposed. Consistency and other properties of the proposed test are shown. It is shown… Click to show full abstract
In this paper, a goodness-of-fit test for the Laplace distribution based on the informational energy is proposed. Consistency and other properties of the proposed test are shown. It is shown that the distribution of the proposed test statistic does not depend on the location and scale parameters. Using a simulation study, critical values of the test statistic are obtained. A Monte Carlo study for the power of the proposed test is carried out against symmetric and asymmetric alternatives. The power values of the proposed test are compared with power values of some well-known competing tests. Finally, two illustrative examples are presented and analysed.
               
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