Parameter Estimation for Certain q-Hypergeometric Distributions [chapter]

David Kemp
2008 Advances in Mathematical and Statistical Modeling  
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
more » ... 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.
doi:10.1007/978-0-8176-4626-4_28 fatcat:vc7sm36asjdhrechh5b7jblibu