Stochastic models have become indispensable tools for understanding growth dynamics in complex systems. By incorporating randomness and uncertainty into the modelling framework, these methods provide ...

Fractional Poisson processes represent an innovative extension of the classical Poisson process, wherein the interarrival times follow heavy-tailed distributions often characterised by the ...

This project aims at developing mathematical statistics and probability theory to provide methodologies for modeling and analysis of complex random systems. Statistical methods enable analysis of ...

First of all, the problem scope and the theoretical foundation are presented. The considered ISC network is a layered network in which nodes represent points of interactions between the two layers.

This work develops application techniques for stochastic modeling of Active Galactic Nuclei (AGNs) variability as a probe of accretion disk physics. Stochastic models, specifically Continuous ...

Likelihood-based statistical inference has been considered in most scientific fields involving stochastic modeling. This includes infectious disease dynamics, where scientific understanding can help ...