Volume 35 • Number 4 • 2012   • Some Mathematical Characteristics of the Beta Density Function of Two Variables M. Hafidz Omar and Anwar H. Joarder Abstract. Some well known results on the bivariate beta distribution have been reviewed. Corrected product moments are derived. These moments will be important for studying further characteristics of the distribution. The distribution of the ratio of two correlated beta variables has been derived and used to obtain a new reliability expression. Other interesting distributions stemming from the correlated beta variables are also derived. 2010 Mathematics Subject Classification: 60E05, 60E99. Full text: PDF