Inference on the parameters of the Weibull distribution using records
Jafari, Ali Akbar (Yazd University (Yazd, Iran). Department of Statistics)
Zakerzadeh, Hojatollah (Yazd University (Yazd, Iran). Department of Statistics)

Date:	2015
Abstract:	The Weibull distribution is a very applicable model for lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a confidence interval for the shape parameter. Then, in addition to a generalized confidence interval, a generalized test variable is derived for the scale parameter when the shape parameter is unknown. The paper presents a simple and exact joint confidence region as well. In all cases, simulation studies show that the proposed approaches are more satisfactory and reliable than previous methods. All proposed approaches are illustrated using a real example.
Rights:	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.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Coverage probability ; Generalized confidence interval ; Generalized p-value ; Records ; Weibull distribution
Published in:	SORT : statistics and operations research transactions, Vol. 39 Núm. 1 (January-June 2015) , p. 3-18 (Articles) , ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/294359

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