This study introduces the concept of granular F-transform and investigates its basic properties using the theory of fuzzy numbers and horizontal membership functions. We further present a numerical method based on granular F-transform to solve a fuzzy prey–predator model consisting of two prey...

A method, based on the Smirnov transform, for generating synthetic data with the statistical properties of Lévy-walks is presented. This method can be utilized for generating arbitrary prescribed probability density functions (pdf). A cybersecurity engineering problem associated with Internet...

A comparison between the probability similarities of a Distributed Denial-of-Service (DDoS) dataset and Lévy walks is presented. This effort validates Lévy walks as a model resembling DDoS probability features. In addition, a method, based on the Smirnov transform, for generating synthetic...

The power function distribution is often used to study the electrical component reliability. In this paper, we model a heterogeneous population using the two-component mixture of the power function distribution. A comprehensive simulation scheme including a large number of parameter points is...

We provide closed-form expressions for the quantile functions of the Erlang and negative binomial distributions with shape parameter equal to two. These expressions are related to the Lambert W function.