Location-Scale Bivariate Weibull Distributions For Bivariate
Type of DegreeThesis
Mathematics and Statistics
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Much research has been conducted over the last thirty years in the development and characterization of bivariate survival distributions. Typically, the multivariate distribution is derived assuming that the marginal distributions are of some specified lifetime family. In this thesis, we examine various bivariate Weibull models. In addition, a location-scale bivariate Weibull model is proposed. Bivariate parameter estimation, with and without censoring, is developed and applied to real and simulated data. Examples are drawn from biomedical research.