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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Statistics and Probability

2020

Prairie View A&M University

EM Algorithm

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Full-Text Articles in Physical Sciences and Mathematics

On A New Class Of Bivariate Survival Distributions Based On The Model Of Dependent Lives And Its Generalization, Shirin Shoaee Dec 2020

On A New Class Of Bivariate Survival Distributions Based On The Model Of Dependent Lives And Its Generalization, Shirin Shoaee

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a new class of survival distributions based on the model of dependent lives and proportional hazard rate family is introduced. This new family of bivariate survival models contains several bivariate lifetime models and is more flexible. The main purpose of this paper is to generalize this family of bivariate survival distributions of dependent lives so that more flexible models can be achieved. These new families of distributions are called the bivariate proportional hazard rate (BPHR) and the bivariate proportional hazard rate-geometric (BPHRG) families, respectively. It is also observed that, if θ = 1, then the BPHR family …