Results 11 to 20 of about 28,270 (263)

Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories [PDF]

open access: yesQuantum, 2020
In classical physics, the Kolmogorov extension theorem lays the foundation for the theory of stochastic processes. It has been known for a long time that, in its original form, this theorem does not hold in quantum mechanics.
Simon Milz   +3 more
doaj   +1 more source

Generalized Counting Processes in a Stochastic Environment

open access: yesMathematics, 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

Stochastic Equations and Equations for Probabilistic Characteristics of Processes with Damped Jumps

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
Processes such as shot noise are an adequate tool for modeling discontinuous random processes with a damping effect. Such processes arise in various fields of physics, technology and human activity, including the field of finance.
I. V. Melnikova, V. A. Bovkun
doaj   +1 more source

Fractional version of Ostrowski-type inequalities for strongly p-convex stochastic processes via a k-fractional Hilfer–Katugampola derivative

open access: yesJournal of Inequalities and Applications, 2023
In the present research, we introduce the notion of convex stochastic processes namely; strongly p-convex stochastic processes. We establish a generalized version of Ostrowski-type integral inequalities for strongly p-convex stochastic processes in the ...
Hengxiao Qi   +4 more
doaj   +1 more source

Hermite-Hadamard, Jensen, and Fractional Integral Inequalities for Generalized P-Convex Stochastic Processes

open access: yesJournal of Mathematics, 2021
The stochastic process is one of the important branches of probability theory which deals with probabilistic models that evolve over time. It starts with probability postulates and includes a captivating arrangement of conclusions from those postulates ...
Fangfang Ma   +2 more
doaj   +1 more source

ON THE QHASI CLASS AND ITS EXTENSION TO SOME GAUSSIAN SHEETS

open access: yesInternational Journal for Computational Civil and Structural Engineering, 2022
Introduced in 2018 the generalized bifractional Brownian motion is considered as an element of the quasi-helix with approximately stationary increment class of real centered Gaussian processes conditioning by parameters.
Charles El-Nouty, Darya Filatova
doaj   +1 more source

Some generalised integral inequalities for bidimensional preinvex stochastic processes

open access: yesCumhuriyet Science Journal, 2020
In this study, we generalized some integral inequalitiesfor bidimensional preinvex stochastic processes. For this reason, we usedmean-square integrable preinvex stochastic processes on the real line and on thecoordinates, respectively.
Nurgül Okur
doaj   +1 more source

Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity

open access: yesEntropy, 2022
This article investigates the spectral structure of the evolution operators associated with the statistical description of stochastic processes possessing finite propagation velocity.
Massimiliano Giona   +3 more
doaj   +1 more source

On a Wick-type stochastic parabolic equations with random potentials

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Stochastic parabolic equations with random potentials, where the Wick product is used to give sense to the product of generalized stochastic processes, are considered.
Snežana Gordić   +2 more
doaj   +1 more source

A Novel Efficient Method for Simulating Non-Stationary Random Processes Combining Generalized Harmonic Wavelet and Stochastic Harmonic Function

open access: yesApplied Sciences, 2022
Integrating the general expression of the generalized harmonic wavelet (GHW)-based spectral representation method (SRM) and the idea of stochastic harmonic function (SHF), a novel stochastic generalized harmonic wavelet (SGHW) method for fully ...
Ding Wang, Feixiang Yu, Shan Xu
doaj   +1 more source

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