A1513
Title: Insights into the construction of an alternative bivariate cardioid distribution
Authors: JT Ferreira - University of Pretoria (South Africa) [presenting]
Andriette Bekker - University of Pretoria (South Africa)
Delene van Wyk de Ridder - University of Pretoria (South Africa)
Abstract: Bivariate generalizations of the well-known cardioid distribution have been investigated in the literature by relying on a mixture approach. Specifically, marginal (univariate) cardioid distributions are blended together based on the concentration parameter assumed to be beta-distributed. Alternative choices are investigated for the distribution of the concentration parameter and the resultant effect on the probabilistic behavior of the circle emanating from the corresponding developed alternative bivariate cardioid distributions. Some key theoretical aspects are considered and are accompanied by numerical illustrations and results.
