Multitude of bivariate t distributions

Abstract

Bivariate t distributions have attracted somewhat limited attention of researchers for the last 70 years in spite of their increasing importance in classical as well as in Bayesian statistical modeling. These distributions have been perhaps unjustly overshadowed – during all these years – by the bivariate normal distribution. In this paper, we provide a comprehensive review of the known bivariate t distributions with the hope of encouraging further research activities in this area.

Keywords:

• Bivariate normal distribution
• Bivariate t distribution