A novel S-box design based on quantum tent maps and fractional stochastic models with an application in image encryption

N Hematpour, F Gharari, B Ors, ME Yalcin - Soft Computing, 2024 - Springer
In this article, we propose an approach to create a high-quality quantum tent map by utilizing
the generalized quantum dot system. Our objective is to determine if its chaos surpasses that …

A Pliant Model to Count Data: Nabla Poisson–Lindley Distribution with a Practical Data Example

F Gharari, H Bakouch, K Karakaya - Bulletin of the Iranian Mathematical …, 2023 - Springer
Mixture models provide a logical approach to modeling complex data. The use of Lindley
distribution to model different types of lifetime variables has made it attractive for further …

A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

F Gharari, M Ganji - Communications in Statistics-Theory and …, 2023 - Taylor & Francis
This paper aims to study a new stochastic order based upon discrete Laplace transforms. By
this order, in a setup where the sample size is random, having discrete delta and nabla …

The discrete delta and nabla Mittag-Leffler distributions

M Ganji, F Gharari - Communications in Statistics-Theory and …, 2018 - Taylor & Francis
In this paper, we extend Bernstein theorem by using basic tools of calculus on time scales,
and, as a further application of it, the discrete nabla and delta Mittag-Leffler distributions are …

Fractional Duals of the Poisson Process on Time Scales with Applications in Cryptography

F Gharari, N Hematpour, HS Bakouch… - Bulletin of the Malaysian …, 2024 - Springer
A super-structure system for probability densities, covering not just typical types but also
fractional ones, was developed using the time scale theory. From a mathematical point of …

Fractional Lindley distribution generated by time scale theory, with application to discrete-time lifetime data

HS Bakouch, F Gharari, K Karakaya… - Mathematical …, 2024 - Taylor & Francis
The fractional Lindley distribution is used to model the distribution of perturbations in count
data regressions, which allow for dealing with widely dispersed data. It is obtained from the …

[引用][C] THE DELTA AND NABLA DISCRETE MITTAG-LEFFLER DISTRIBUTIONS

گنجی, دکتر مسعود, قراری - 2016‎ - University of Mohaghegh Ardabili