A New Distribution Family Constructed by Polynomial Rank Transmutation

In this study, a new polynomial rank transmutation is proposed with the help of the bivariate Farlie-Gumbel Morgenstern distribution family. The distribution family obtained in this transmutation is considered to be an alternative to the distribution families obtained by quadratic rank transformation. Various properties of the introduced family are studied. Two real-data examples is considered to illustrate this contribution.

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