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In this paper, we present a q-calculus-based generalization of the Cauchy distribution. We explore a range of characteristics associated with this distribution, encompassing q-moments, q-variance, and q-cumulative functions. Additionally, we formulate parameter estimation techniques employing the fixed point method. To evaluate the efficacy of these q-distributions, we carry out simulation studies, offering valuable insights into their performance.
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Amri et al. (2025) studied this question.
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