[HTML][HTML] Time-inhomogeneous Feller-type diffusion process in population dynamics

V Giorno, AG Nobile - Mathematics, 2021 - mdpi.com
The time-inhomogeneous Feller-type diffusion process, having infinitesimal drift α (t) x+ β (t)
and infinitesimal variance 2 r (t) x, with a zero-flux condition in the zero-state, is considered …

[HTML][HTML] On the first-passage time problem for a Feller-type diffusion process

V Giorno, AG Nobile - Mathematics, 2021 - mdpi.com
We consider the first-passage time problem for the Feller-type diffusion process, having
infinitesimal drift B 1 (x, t)= α (t) x+ β (t) and infinitesimal variance B 2 (x, t)= 2 r (t) x, defined …

First-exit-time problems for two-dimensional Wiener and Ornstein–Uhlenbeck processes through time-varying ellipses

A Di Crescenzo, V Giorno, AG Nobile, S Spina - Stochastics, 2024 - Taylor & Francis
We study the first-exit-time problem for the two-dimensional Wiener and Ornstein–
Uhlenbeck processes through time-varying ellipses which run according to specific rules …

[HTML][HTML] On the Absorbing Problems for Wiener, Ornstein–Uhlenbeck, and Feller Diffusion Processes: Similarities and Differences

V Giorno, AG Nobile - Fractal and Fractional, 2022 - mdpi.com
For the Wiener, Ornstein–Uhlenbeck, and Feller processes, we study the transition
probability density functions with an absorbing boundary in the zero state. Particular …

[PDF][PDF] European option pricing under generalized fractional Brownian motion

AA Araneda - Institute of Financial Complex Systems, Faculty of …, 2021 - researchgate.net
Abstract The Generalized fractional Brownian motion (gfBm) is a stochastic process that acts
as a generalization for both fractional, sub-fractional, and standard Brownian motion. Here …

Credit Default Swaps and the mixed-fractional CEV model

AA Araneda - arXiv preprint arXiv:2211.07564, 2022 - arxiv.org
This paper explores the capabilities of the Constant Elasticity of Variance model driven by a
mixed-fractional Brownian motion (mfCEV)[Axel A. Araneda. The fractional and mixed …

Price modelling under generalized fractional Brownian motion

AA Araneda - arXiv preprint arXiv:2108.12042, 2021 - arxiv.org
The Generalized fractional Brownian motion (gfBm) is a stochastic process that acts as a
generalization for both fractional, sub-fractional, and standard Brownian motion. Here we …