Least Squares estimation for the multivariate weibull model of bougaard based on accelerated life test of system and component
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 19 (10) , 3725-3739
- https://doi.org/10.1080/03610929008830409
Abstract
Accelerated life testing of products quickly yields information on life. In this article, we present a simple method to incorporate the information collected from accelerated life tests of both components and (series) systems. The multivariate Weibull distribution of Hougaard is applied to model lifetimes of components. Least-squares (LS) estimators of the model parameters and their joint asymptotic distribution are derived. The effects of the dependence parameter and the proportion of the system-data to the asymptotic relative efficiencies of the LS estimators are investigated.Keywords
This publication has 15 references indexed in Scilit:
- Bivariate extreme value theory: Models and estimationBiometrika, 1988
- Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard ConditionsJournal of the American Statistical Association, 1987
- The Equivalence of Regression-Simple and Best-Linear-Unbiased Estimators With Type II Censored Data from a Location Scale DistributionJournal of the American Statistical Association, 1986
- Linear Estimation of a Regression Relationship from Censored Data: Part II Best Linear Unbiased Estimation and TheoryTechnometrics, 1973
- Linear Estimation of a Regression Relationship from Censored Data Part I: Simple Methods and Their ApplicationTechnometrics, 1972
- Combining Component and System InformationTechnometrics, 1971
- Maximum-Likelihood Estimation, From Doubly Censored Samples, of the Parameters of the First Asymptotic Distribution of Extreme ValuesJournal of the American Statistical Association, 1968
- A Multivariate Exponential DistributionJournal of the American Statistical Association, 1967
- Bivariate Exponential DistributionsJournal of the American Statistical Association, 1960
- LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICSBiometrika, 1952