A new class of 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....

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Detalhes bibliográficos
Autores: Arrué, Jaime, Gómez, Héctor W.|||0000-0003-3726-5507, Salinas, Hugo S., Bolfarine, Heleno
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:132926
Acesso em linha:https://ddd.uab.cat/record/132926
Access Level:acceso abierto
Palavra-chave:Cauchy distribution
Kurtosis
Maximum likelihood estimation
Singular information matrix
Skewness
Skew-normal-cauchy distribution
Descrição
Resumo: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