Abstract
Bivariate lifetime distributions are considered which describe physically motivated dependencies like those proposed by Freund (1961) and Marshall and Olkin (1967a). Such distributions arise in reliability problems with two-component systems. Generalizations of some previous models are investigated and the maximum likelihood estimates for a combined bivariate exponential distribution are given. The case of dependent random censorship is considered in connection with two-component series systems. Some simulations show how censorship affects the parameter estimates.
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Heinrich, G., Jensen, U. Parameter estimation for a bivariate lifetime distribution in reliability with multivariate extensions. Metrika 42, 49–65 (1995). https://doi.org/10.1007/BF01894288
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DOI: https://doi.org/10.1007/BF01894288