Some bivariate families of lagrangian probability distributions

Abstract

The bivariate Lagrange expansion, given by Poincare (1986), has been explained and slightly modified which gives bivariate Lagrangian probability models. A generalized bivariate Lagrangian Poisson distribution with six parameters has been obtained and studied. Also, the bivariate Lagrangian binomial, bivariate Lagrangian negative binomial and bivariate Lagrangian logarithmic series distribution have been obtained.

Keywords:

• Bivariate lagrangian expansions
• lagrangian probability models
• generalized bivariate lagrangian poisson distributions
• recurrence relation
• moments
• convolution
• other bivariate lagrangian families of distributions