A bivariate geometric distribution with positive or negative correlation

2017 ◽  
Author(s):  
Alessandro Barbiero
Keyword(s):  
Negative Correlation ◽  
Geometric Distribution ◽  
Bivariate Geometric Distribution

Use of Basu-Dhar bivariate geometric distribution in the analysis of the reliability of component series systems

2019 ◽  
Vol 36 (4) ◽  
pp. 569-586
Author(s):  
Ricardo Puziol Oliveira ◽  
Jorge Alberto Achcar
Keyword(s):  
Bayesian Approach ◽  
Geometric Distribution ◽  
Bivariate Distribution ◽  
Dependence Structure ◽  
Series System ◽  
Engineering Applications ◽  
Data Set ◽  
Content Type ◽  
Bivariate Geometric Distribution ◽  
Series Systems

Purpose The purpose of this paper is to provide a new method to estimate the reliability of series system by using a discrete bivariate distribution. This problem is of great interest in industrial and engineering applications. Design/methodology/approach The authors considered the Basu–Dhar bivariate geometric distribution and a Bayesian approach with application to a simulated data set and an engineering data set. Findings From the obtained results of this study, the authors observe that the discrete Basu–Dhar bivariate probability distribution could be a good alternative in the analysis of series system structures with accurate inference results for the reliability of the system under a Bayesian approach. Originality/value System reliability studies usually assume independent lifetimes for the components (series, parallel or complex system structures) in the estimation of the reliability of the system. This assumption in general is not reasonable in many engineering applications, since it is possible that the presence of some dependence structure between the lifetimes of the components could affect the evaluation of the reliability of the system.

Characterization of a Bivariate Geometric Distribution

1996 ◽  
Vol 46 (1-2) ◽  
pp. 23-28 ◽  
Author(s):  
G. Asha ◽  
N. Unnikrishnan Nair
Keyword(s):  
Geometric Distribution ◽  
Life Distribution ◽  
Bivariate Geometric Distribution

In this paper two characterizations in terms of the properties of the residuai life distribution of a bivariate seometric model is established.

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