On bivariate geometric distribution

JAYAKUMAR, K.; Department Of Statistics - University Of Calicut, India & MUNDASSERY, DAVIS ANTONY; Department Of Statistics - University Of Calicut
Characterizations of bivariate geometric distribution using univariate and bivariate geometric compounding are obtained. Autoregressive models with marginals as bivariate geometric distribution are developed. Various bivariate geometric distributions analogous to important bivariate exponential distributions like, Marshall-Olkin’s bivariate exponential, Downton’s bivariate exponential and Hawkes’ bivariate exponential are presented.