Compound distributions motivated by linear failure rate

Motivated by three failure data sets (lifetime of patients, failure time of hard drives and failure timeof a product), we introduce three different three-parameter distributions, study basic mathematical properties, address estimation by the method of maximum likelihood and investigate finite sample...

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Detalles Bibliográficos
Autores: Gitifar, Narjes, Rezaei, Sadegh, Nadarajah, Saralees
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/112742
Acceso en línea:https://hdl.handle.net/2117/112742
Access Level:acceso abierto
Palabra clave:Linear failure rate distribution
maximum likelihood estimation
Poisson distribution
Classificació AMS::62 Statistics::62E Distribution theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:Motivated by three failure data sets (lifetime of patients, failure time of hard drives and failure timeof a product), we introduce three different three-parameter distributions, study basic mathematical properties, address estimation by the method of maximum likelihood and investigate finite sample performance of the estimators. We show that one of the new distributions provides a better fit toeach data set than eight other distributions each having three parameters and three distributions each having two parameters.