A note on the Fisher information matrix for the skew-generalized-normal model

In this paper, the exact form of the Fisher information matrix for the skew-generalized normal (SGN) distribution is determined. The existence of singularity problems of this matrix for the skew-normal and normal particular cases is investigated. Special attention is given to the asymptotic properti...

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Detalles Bibliográficos
Autores: Arellano-Valle, Reinaldo B., Gómez, Héctor W., Salinas, Hugo S.
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/13758
Acceso en línea:https://hdl.handle.net/2099/13758
Access Level:acceso abierto
Palabra clave:Distribution (Probability theory)
Asymptotic distribution
Skewness
singular information matrix
Kurtosis
maximum likelihood estimation
Distribució (Teoria de la probabilitat)
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:In this paper, the exact form of the Fisher information matrix for the skew-generalized normal (SGN) distribution is determined. The existence of singularity problems of this matrix for the skew-normal and normal particular cases is investigated. Special attention is given to the asymptotic properties of the MLEs under the skew-normality hypothesis.