q-Factorial moments of bivariate discrete q-distributions

Abstract

The q-factorial moments of the q-trinomial and the negative q-trinomial distributions of the first and second kind are derived. Also, the q-factorial moments of the bivariate q-Pólya and inverse q-Pólya distributions are obtained. In particular, the q-covariance of the two random variables or suitable functions of these random variables are deduced.

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 60C05
• Secondary 05A30

Keywords:

• Discrete q-distribution
• q-multinomial distribution
• negative q-multinomial distribution
• multivariate q-Pólya distribution
• multivariate inverse q-Pólya distribution
• q-covariance