Abstract
In this paper, we introduce a new probability distribution with application in reliability called the beta reduced modified Weibull distribution. The proposed distribution presents a more flexible model and has the capability to capture decreasing, increasing, bathtub, unimodal (upside-down bathtub) and modified unimodal shaped hazard rates. Also, this distribution has a bathtub-shaped hazard rate function with a long useful life period, which is desirable property in reliability analysis. We obtain the expansions for the moments, quantile function, stress-strength reliability, density function of the order statistics and their moments. We use the method of maximum likelihood to estimate the model parameters for complete and right-censored data. We evaluate the performance of the maximum likelihood estimators in a simulation study. We analyze three reliability data sets, complete and censored, to examine the flexibility of the proposed model.
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.
