Empirical likelihood ratio-based goodness-of-fit test for the logistic distribution |
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Authors: | Hadi Alizadeh Noughabi |
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Institution: | Department of Statistics, University of Birjand, Birjand, Iran |
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Abstract: | The logistic distribution has been used to model growth curves in survival analysis and biological studies. In this article, we propose a goodness-of-fit test for the logistic distribution based on the empirical likelihood ratio. The test is constructed based on the methodology introduced by Vexler and Gurevich 17 A. Vexler and G. Gurevich, Empirical likelihood ratios applied to goodness-of-fit tests based on sample entropy, Comput. Stat. Data Anal. 54 (2010), pp. 531–545. doi: 10.1016/j.csda.2009.09.025Crossref], Web of Science ®] , Google Scholar]]. In order to compute the test statistic, parameters of the distribution are estimated by the method of maximum likelihood. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Finally, an illustrative example is presented and analyzed. |
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Keywords: | logistic distribution empirical likelihood ratio goodness-of-fit test approximate maximum likelihood estimates |
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