On some bivariate integer valued distributions on Z²

‎We proposed and studied a new bivariate random sign transformation of nonnegative bivariate integer-valued distributions‎. ‎This transformation develops new bivariate integer-valued distributions on Z^{۲}. We applied the new transformation to the bivariate Poisson  and the bivariate geometric distributions‎. ‎As an illustration‎, ‎we fitted a real-life data set developed based on the results of the ۲۰۱۹ UEFA Europa League using the new distributions‎.

کلیدواژه ها:

Bivariate RST ، ML estimators ، MM estimators ، Monte Carlo simulations