A New Distribution Family Constructed By Polynomial Rank Transmutation

Abstract

In this study, a new polynomial rank transmutation is proposed with the help of thebivariate Farlie-Gumbel Morgenstern distribution family. The distribution familyobtained by this transmutation is considered to be an alternative to the distributionfamilies obtained by quadratic rank transmutation (QRT). Various properties of theintroduced family are studied. Two real data sets are taken into account to show that thisfamily is an alternative to the QRT distribution family.