Various q-hypergeometric distributions have recently been described and examined in some detail in both the statistics and the quantum physics literatures. q-hypergeometric distributions are of interest as q-analogues of a wide class of discrete distributions (the generalized hypergeometric probability distributions) which includes, for example, the Poisson, binomial, negative binomial and logarithmic distributions. The additional parameter q can be viewed as modifying the related standard

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... ibution (the term deforming is used in the physics literature). Parameter estimation for the q-distributions has not received much attention. This paper examines the estimation problem with special reference to q-distributions related to the logarithmic distribution. Some simulation results for maximum-likelihood estimation are given.