Abstract
Based on life test experiments conducted at both component and (series) system levels, we develop inference procedures for a bivariate exponential distribution of Gumbel. For the case of identical marginals, maximum likelihood estimators are obtained in closed form and their asymptotic properties are presented. Some nonstandard conditions arise due to the restricted form of the parameter space. Exact optimal test and confidence bounds are provided for the model parameters as well as series system reliability. For testing the equality of marginals, we derive an asymptotically best combination of two test statistics each of which provides optimal test when only a part of sufficient statistics is observable
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
