A New Generalized Cauchy Distribution with an Application to Annual One Day Maximum Rainfall Data

Cory Ball; Binod Rimal; Sher Chhetri

doi:10.19139/soic-2310-5070-1000

Cory Ball Florida Atlantic University
Binod Rimal Florida Atlantic University
Sher Chhetri University of South Carolina, Sumter

DOI: https://doi.org/10.19139/soic-2310-5070-1000

Keywords: Cauchy distribution, transmuted Cauchy distribution, Quadratic rank transmuted map, Maximum likelihood estimation, Hazard rate function.

Abstract

In this article, we introduce a new three-parameter transmuted Cauchy distribution usingthe quadratic rank transmutation map approach. Some mathematical properties of the pro-posed model are discussed. A simulation study is conducted using the method of maximumlikelihood estimation to estimate the parameters of the proposed model. We used two real datasets and compare various statistics to show the fitting and versatility of the model.

Author Biographies

Cory Ball, Florida Atlantic University

Department of Mathematical Sciences

Binod Rimal, Florida Atlantic University

Department of Mathematical Sciences

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