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Estimation parameters for the Binomial q-distribution

Bouzida Imed, Masmoudi Afif and Zitouni Mouna

Communications in Statistics - Theory and Methods, 2020, vol. 50, issue 21, 5101-5113

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 [p]q 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.

Date: 2020
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DOI: 10.1080/03610926.2020.1725825

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