Results 41 to 50 of about 45,963 (130)

Limit theorems for the fractional nonhomogeneous Poisson process [PDF]

Journal of Applied Probability, 2019
AbstractThe fractional nonhomogeneous Poisson process was introduced by a time change of the nonhomogeneous Poisson process with the inverseα-stable subordinator. We propose a similar definition for the (nonhomogeneous) fractional compound Poisson process.
Leonenko N., Scalas E., Trinh M.
openaire   +5 more sources

The Fractional Differential Polynomial Neural Network for Approximation of Functions

Entropy, 2013
In this work, we introduce a generalization of the differential polynomial neural network utilizing fractional calculus. Fractional calculus is taken in the sense of the Caputo differential operator.
Rabha W. Ibrahim
doaj   +1 more source

Some results on Bayes estimation under Linex loss function [PDF]

Journal of Hyperstructures
In this paper, we introduced straightforward formulas for the Bayes risk linked to the Linex loss function, which we then applied to estimate parameters of the normal, Poisson, and fractional Weibull distributions.We aimed to investigate the development ...
Masoud Ganji, Fatemeh Gharari
doaj   +1 more source

Fractional Poisson Process for Estimation of Capacity Degradation in Li-Ion Batteries by Walk Sequences

Fractal and Fractional
Each charging/discharging cycle leads to a gradual decrease in the battery’s capacity. The degradation of capacity in lithium-ion batteries represents a non-monotonous process with random jumps.
Jing Shi, Feng Liu, Aleksey Kudreyko, Zhengyang Wu, Wanqing Song   +4 more
doaj   +1 more source

Non-homogeneous space-time fractional Poisson processes [PDF]

Stochastic Analysis and Applications, 2018
The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto in \cite{sfpp}, is a generalization of the time fractional Poisson process (TFPP) and the space fractional Poisson process (SFPP). We study the fractional generalization of the non-homogeneous Poisson process and call it the non-homogeneous space-time fractional Poisson ...
Maheshwari, A., Vellaisamy, P.
openaire   +2 more sources

Generalized Counting Processes in a Stochastic Environment

Mathematics, 2021
This paper addresses the generalization of counting processes through the age formalism of Lévy Walks. Simple counting processes are introduced and their properties are analyzed: Poisson processes or fractional Poisson processes can be recovered as ...
Davide Cocco, Massimiliano Giona
doaj   +1 more source

Perturbation of Fractional Multi-Agent Systems in Cloud Entropy Computing

Entropy, 2016
A perturbed multi-agent system is a scheme self-possessed of multiple networking agents within a location. This scheme can be used to discuss problems that are impossible or difficult for a specific agent to solve.
Rabha W. Ibrahim, Hamid A. Jalab, Abdullah Gani   +2 more
doaj   +1 more source

Counting processes with Bern\v{s}tein intertimes and random jumps [PDF]

, 2014
We consider here point processes $N^f(t)$, $t>0$, with independent increments and integer-valued jumps whose distribution is expressed in terms of Bern\v{s}tein functions $f$ with L\'evy measure $\nu$.
Orsingher, Enzo, Toaldo, Bruno
core   +1 more source

Stochastic differential equations driven by fractional Brownian motion and Poisson point process [PDF]

, 2015
In this paper, we study a class of stochastic differential equations with additive noise that contains a fractional Brownian motion (fBM) and a Poisson point process of class (QL).
Bai, Lihua, Ma, Jin
core   +1 more source

On a fractional alternating Poisson process

AIMS Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DI CRESCENZO, Antonio, MEOLI, ALESSANDRA
openaire   +4 more sources