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Abstract Finite mixture models have been used in several fields of statistical analysis such as pattern recognition, clustering, survival analysis. Introducing mixtures of new generalized lifetime distributions that exhibit important hazard shapes is a major field of research. Historically, survival analysis has been represented with the classical statistical distributions such as Gamma, exponential and Weibull distributions among others. Generalizations of such lifetime distributions have been introduced in the literature to fit a wider variety of data sets and to present multiple shapes of useful hazard rate functions. The distribution adopted throughout this thesis, the Weibull Extension Model, is considered a generalization of the Chen model by adding a scale parameter. |