Statistical Inference from Modified Weibull Distribution: Bayesian and Non Bayesian Approches - Couverture souple

Abd Ellah, Ahmed Hamed; Soliman, Ahmed; El-Sayed, Essam

 
9783659492853: Statistical Inference from Modified Weibull Distribution: Bayesian and Non Bayesian Approches
Couverture souple
ISBN 10 : 365949285X ISBN 13 : 9783659492853
Editeur : LAP Lambert Academic Publishing, 2013

Synopsis

Models with bathtub-shaped failure rate function are useful in reliability analysis and particularly in reliability related decision making and cost analysis. A modified Weibull distribution (MWD) was recently proposed by Lai et al.(2003) as a generalization of the two-parameter Weibull distribution. This distribution has both the two-parameter Weibull and the type I extreme value distributions as special cases. This lifetime distribution is able to model data with bathtub-shaped hazard rate, which is an important feature for engineering reliability analysis. Parameter estimation is crucial for the model to be built and is often a difficult problem, especially for distributions with more than 2 parameters. In this book, maximum likelihood estimation (MLE) is studied in detail. Several techniques regarding this estimation method are proposed to simplify computation. Another estimation method called Bayesian is used to estimate the parameters as well as some life parameters (reliability and hazard functions). We consider estimation of the modified Weibull parameters based on progressively Type II censored data, an adapptive progressively Type II censored data and upper record values.

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À propos de l?auteur

A. H. Abd Ellah has obtained Ph.D. degree in mathematical statistics from South Valley University. From 1998 to 2006, he has been as an Assistant professor in Teachers College, Saudi Arabia. He is currently an associate professor at sohag university. His research interests include prediction, estimation, Simulation and distribution theory

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Éditeur
LAP Lambert Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
365949285X
ISBN 13 
9783659492853
Reliure
Broché
Nombre de pages
140
Coordonnées du fabricant
non disponible
Personne responsable
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