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Abstract:
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Because of the numerous applications, characterization of multivariate survival distributions is still of a growing research area. We restrict the marginals to a specified lifetime distribution, while proposing a linear relationship between the marginals with an error random variable that we completely characterize. The distributions are all of positive support, but some one class has a positive a probability of simultaneous occurrence. In that sense, we capture the absolutely continuous case, and the Marshall-Olkin type with a positive probability of simultaneous event on a set of measure zero. We extend the results available in the literature and propose and study the properties of various parameter estimators.
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