The current research paper investigates the logistic q−distribution q−L(0, 1) from a pro- babilistic perspective. Its unique characteristics lie in its probability density function (pdf), cumulative distribution function (cdf), mean, and variance. We introduce the q−Fourier transform and a new q−differential equation within the framework of quantum calculus and provide its solution in order to facilitate the characterization of the logistic q−distribution. A characterization of the relationship between the logistic q−distribution and exponential q−distributions is determined via the cumulative distribution function (cdf).
Amri et al. (Tue,) studied this question.
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