Asymptotically Efficient Estimation of a Bivariate Gaussian–Weibull Distribution and an Introduction to the Associated Pseudo-truncated Weibull

DOI10.1080/03610926.2013.805626zbMath1334.62231OpenAlexW2158091995MaRDI QIDQ2792300

David E. Kretschmann, Cherilyn A. Hatfield, Steve Verrill, J. W. Evans

Publication date: 8 March 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.805626

zbMATH Keywords

reliabilitynormal distributionlikelihood methodsWeibull distributionGaussian copulamodulus of elasticitybivariate Gaussian-Weibullmodulus of ruptureone-step Newton estimator

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics in engineering and industry; control charts (62P30) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

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Cites Work

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• Some new constructions of bivariate Weibull models
• Copula theory and its applications. Proceedings of the workshop held in Warsaw, Poland, 25--26 September 2009
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• Multivariate distributions having Weibull properties
• A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
• Values of Mills' Ratio of Area to Bounding Ordinate and of the Normal Probability Integral for Large Values of the Argument

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