The Beta-Half-Cauchy Distribution

By Gauss Moutinho Cordeiro, Artur J. Lemonte. 2011

53 citations recorded by the source corpus.

On the basis of the half-Cauchy distribution, we propose the called beta-half-Cauchy distribution for modeling lifetime data. Various explicit expressions for its moments, generating and quantile functions, mean deviations, and density function 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 lifetime real data shows that it can yield a better fit than three- and two-parameter Birnbaum-Saunders, gamma, and Weibull models.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e5275457559672a2b8d4ccfc035571f521eaddea

Citations in the corpus

• The exponential–Weibull lifetime distribution (2014, unknown): “• Beta half-Cauchy (BHC) distribution.[15] The BHC density function (with three parameters φ, a and b) is f (x) = 2 a[1 + (x/φ)2]−1 φπaB(a, b) [ arctan ( x φ )]a−1 { 1 − 2 π [ arctan ( x φ )]}b−1 , x > 0,”