2026-04-14T09:05:48Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4069762024-10-30T23:25:28Zcom_2072_98col_2072_378192

A new class of Skew-Normal-Cauchy Distribution Arrué, Jaime Gómez, Héctor W. Salinas, Hugo S. Bolfarine, Heleno Cauchy distribution Kurtosis Maximum likelihood estimation Singular information matrix Skewness Skew-normal-cauchy distribution In this paper we study a new class of skew-Cauchy distributions inspired on the family extended two-piece skew normal distribution. The new family of distributions encompasses three well known families of distributions, the normal, the two-piece skew-normal and the skew-normal-Cauchy distributions. Some properties of the new distribution are investigated, inference via maximum likelihood estimation is implemented and results of a real data application, which reveal good performance of the new model, are reported 2015 Article ; SORT : statistics and operations research transactions ; Vol. 39 Núm. 1 (January-June 2015), p. 35-50 open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. https://creativecommons.org/licenses/by-nc-nd/3.0/