Bivariate gamma distribution as a life test model. (English) Zbl 0549.62065

Summary: The bivariate gamma distribution is taken as a life test model to analyse a series system with two dependent components x and y. First, the distribution of a function of x and y, that is, minimum (x,y), is obtained. Next, the reliability of the component system is evaluated and tabulated for various values of the parameters. Estimates of the parameters are also obtained by using Bayesian approach. Finally, a table of the mean and variance of minimum (x,y) for various values of the parameters involved is presented.


62N05 Reliability and life testing
62H10 Multivariate distribution of statistics
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