The beta-half-Cauchy distribution
Summary: On the basis of the half-Cauchy distribution, we propose the so-called beta-half-Cauchy distribution for modeling life time data. Various explicit expressions for its moments, generating and quantile functions, mean deviations, and density functions of the order statistics and their moments are provided. The parameters of the new model are estimated by maximum likelihood, and the observed information matrix is derived. An application to life time real data shows that it can yield a better fit than three- and two-parameter Birnbaum-Saunders, gamma, and Weibull models.
scientific article; zbMATH DE number 6014380
scientific article