On some bivariate integer valued distributions on Z²

Document Type : Original Article

Authors

• Nada Nadeem Alkhatib
• Emad Eldin Aly Ahmed Aly

Department of Statistics and Operations Research, Kuwait University, Kuwait

10.22067/smps.2025.91162.1039

Abstract

‎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 $Z^{2}$. 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 2019 UEFA Europa League using the new distributions‎.
 

Keywords

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

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