A Bivariate Weibull Distribution and its Applications in Reliability: Accepted - June 2023

Katherine Davies; Debanjan Mitra; William Volterman

Forthcoming

A Bivariate Weibull Distribution and its Applications in Reliability

Accepted - June 2023

Authors

Katherine Davies McMaster University https://orcid.org/0000-0001-8054-6844
Debanjan Mitra Indian Institute of Management Udaipur https://orcid.org/0000-0003-3705-3141
William Volterman Economical Insurance https://orcid.org/0000-0002-9368-7555

Keywords:

bivariate lifetime data, bivariate Weibull distribution, maximum likelihood estimation, asymptotic confidence intervals, right censoring, moment-based estimates

Abstract

In this article, the bivariate exponential distribution proposed by Downton (“Bivariate exponential distributions in reliability theory”, Journal of the Royal Statistical Society Series B, 1970) is extended to a bivariate Weibull distribution, and it is called the Downton’s bivariate Weibull (DBW) distribution. Statistical properties of the DBW distribution are explored and likelihood inference developed based on complete as well as right-censored bivariate data are discussed. Through extensive Monte Carlo
simulations, performance of the point and interval estimates are evaluated. Two real datasets are analyzed for illustrative purposes. It is concluded that the DBW distribution is very useful to model bivariate data.

Downloads

FP_REVSTAT2023_jun5

Published

2023-06-28

How to Cite

Davies, K., Mitra, D., & Volterman, W. (2023). A Bivariate Weibull Distribution and its Applications in Reliability: Accepted - June 2023. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/568