Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price

Document Type : Research Paper


Department of Statistics, University of Birjand, Birjand, Iran


Recently, it has been shown that the density based empirical likelihood concept extends and standardizes these methods, presenting a powerful approach for approximating optimal parametric likelihood ratio test statistics. In this article, we propose a density based empirical likelihood goodness of fit test for the Cauchy distribution. The properties of the test statistic are stated and the critical points are obtained. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Our study shows that the proposed test is superior to the competitors in most of the considered cases and can confidently apply in practice. Finally, a financial data set is presented and analyzed.


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  • Receive Date: 16 June 2021
  • Revise Date: 30 November 2021
  • Accept Date: 12 December 2021
  • First Publish Date: 16 December 2021