A note on interval estimation for the mean of inverse Gaussian distribution

In this paper, we study the interval Estimation for the mean from inverse Gaussian distribution. This distribution is a member of the natural exponential families with cubic variance function. Also, we simulate the coverage probabilities for the confidence intervals considered. The results show that...

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Detalles Bibliográficos
Autores: Arefi, M., Mohtashami Borzadaran, G.R., Vaghei, Y.
Tipo de recurso: artículo
Fecha de publicación:2008
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:2099/8943
Acceso en línea:https://hdl.handle.net/2099/8943
Access Level:acceso abierto
Palabra clave:Mathematical statistics
Distribution (Probability theory)
Wald Interval
Score Interval
Likelihood ratio
Coverage probability
Estadística matemàtica
Distribució (Teoria de la probabilitat)
Classificació AMS::62 Statistics::62F Parametric inference
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:In this paper, we study the interval Estimation for the mean from inverse Gaussian distribution. This distribution is a member of the natural exponential families with cubic variance function. Also, we simulate the coverage probabilities for the confidence intervals considered. The results show that the likelihood ratio interval is the best interval and Wald interval has the poorest performance.