Abstract
The parameters estimation and simulation studies of two classical discrete Binomial and Bernoulli q-distributions are described. For the parameters estimation problem, two major methods are used and presented. The iterative EM-Newton–Raphson method based on maximum likelihood and Bayes Theorem which is formulated to estimate the parameter p of the Bernoulli q-distribution. The moments method is used for the estimation of the probability of success denoted for the Binomial q-distribution. The effectiveness and feasibility of the proposed models are also demonstrated through simulation studies for different q parameters values and samples sizes.
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