Testing the equality of two double-parameter exponential distributions via overlap coefficient

Yuejin Zhou, Ting Chen, Qianjin Zhao and Tao Jiang

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 5, 1248-1260

Abstract: In this paper, we investigate the problem of testing the equality of two double-parameter exponential distributions by using overlap coefficient. So the original testing problem is reduced to testing whether overlap coefficient is one or not, which is presented by Matusitat’s, Morisita’s, and Weitzmann’s measures, respectively. For the three overlap coefficient measures, their estimators are proposed and the corresponding statistical properties are also derived. Simulation studies are conducted to assess the performance of our proposed estimators. Finally, a real example is involved to illustrate their application.

Date: 2020
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DOI: 10.1080/03610926.2018.1563169

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