Journal of Applied Mathematics & Bioinformatics

On characterizing some mixtures of probability distributions

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  • Abstract

    The concept of recurrence relations is used to characterize mixtures of two exponential families, two 1st type Ouyang's distributions and two 2nd type Ouyang's distributions. Our results are used to deduce conclusions concerning some mixtures of some well known distributions like Burr, Pareto, Power Weibull, 1st type Pearsonian and Ferguson's distributions. Furthermore, some characterizations related to some recently distributions like, mixtures of two exponentiated Weibull, exponentiated Pareto and generalized exponential distributions are derived from our results. In addition, some well-known results follow from our results as special cases.