• Partially Accelerated Life Tes...

Result: Partially Accelerated Life Tests for the Weibull Distribution Under Multiply Censored Data

Title:
Partially Accelerated Life Tests for the Weibull Distribution Under Multiply Censored Data
Authors:
WANG, F. K, CHENG, Y. F, LU, W. L
Source:
Communications in statistics. Simulation and computation. 41(8-10):1667-1678
Publisher Information:
Colchester: Taylor & Francis, 2012.
Publication Year:
2012
Physical Description:
print, 1/2 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Statistiques, Statistics, Inférence non paramétrique, Nonparametric inference, Applications, Fiabilité, test de durée de vie, contrôle de la qualité, Reliability, life testing, quality control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Analyse survie, Survival analysis, Contrainte mécanique, Mechanical stress, Tensión mecánica, Distribution durée vie, Life distribution, Ddistribución duración vida, Donnée censurée, Censored data, Echantillon censuré, Censored sample, Muestra censurada, Erreur moyenne, Mean error, Error medio, Erreur systématique, Bias, Error sistemático, Essai accéléré, Accelerated test, Ensayo acelerado, Essai endurance, Life test, Prueba duración, Estimation biaisée, Biased estimation, Estimación sesgada, Fiabilité, Reliability, Fiabilidad, Loi Weibull, Weibull distribution, Ley Weibull, Maximum vraisemblance, Maximum likelihood, Maxima verosimilitud, Méthode statistique, Statistical method, Método estadístico, Simulation numérique, Numerical simulation, Simulación numérica, 62N01, 62N05, Test run, Run test, 62N02, Acceleration factor, Maximum likelihood estimation, Partially accelerated life test
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Industrial Management, National Taiwan University of Science and Technology, Taiwan, Taipei, Tawain, Province of China
ISSN:
0361-0918
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=26164015
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.26164015
Database:
PASCAL Archive

Further Information

This article aims to estimate the parameters of the Weibull distribution in step-stress partially accelerated life tests under multiply censored data. The step partially acceleration life test is that all test units are first run simultaneously under normal conditions for a pre-specified time, and the surviving units are then run under accelerated conditions until a predetermined censoring time. The maximum likelihood estimates are used to obtaining the parameters of the Weibull distribution and the acceleration factor under multiply censored data. Additionally, the confidence internals for the estimators are obtained. Simulation results show that the maximum likelihood estimates perform well in most cases in terms of the mean bias, errors in the root mean square and the coverage rate. An example is used to illustrate the performance of the proposed approach.