On some bivariate integer valued distributions on Z²

Stochastic Models in Probability and Statistics

مقاله 1، دوره 2، شماره 1 - شماره پیاپی 3، مهر 2025، صفحه 1-29   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.22067/smps.2025.91162.1039

نویسندگان

Nada Nadeem Alkhatib؛ Emad Eldin Aly Ahmed Aly^*

Department of Statistics and Operations Research, Kuwait University, Kuwait

چکیده

‎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.
 

کلیدواژه‌ها

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

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