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A new probability distribution, the xgamma distribution, is proposed and studied. The distribution is generated as a special finite mixture of exponential and gamma distributions and hence the name proposed. Various mathematical, structural, and survival properties of the xgamma distribution are derived, and it is found that in many cases the xgamma has… (More)
A characterization of geometric distribution is given, which is based on the ratio of the real and imaginary part of the characteristic function.