Local Limit Theorems for q-Multinomial and Multiple Heine Distributions

In this work we establish local limit theorems for q-multinomial and multiple Heine distributions. Specifically, the pointwise convergence of the q-multinomial distribution of the first kind, as well as for its discrete limit, the multiple Heine distribution, to a multivariate Stieltjes-Wigert type distribution, are provided.

Bayesian Methods and Mixture Models Statistical Distribution Estimation and Applications Mathematical functions and polynomials

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