Results 31 to 40 of about 3,154 (151)

The Ornstein–Uhlenbeck process driven by the Hermite–Ornstein–Uhlenbeck process

open access: yesModern Stochastics: Theory and Applications
In this paper, a non-Gaussian Ornstein–Uhlenbeck process driven by a Hermite–Ornstein–Uhlenbeck process is introduced, which belongs to the qth Wiener chaos.
Charles-Philippe Diez, Ciprian A. Tudor
doaj   +1 more source

A Stochastic Epidemic Model [PDF]

open access: yesThe Egyptian Statistical Journal, 1982
In this work, the stochastic epidemic model to be studied assumes just two types of individual in a population of size N, the population of infective persons of size I(t) and the susceptible population of size N-I(t) at any time t.
Shoukry E. M.
doaj   +1 more source

p-variation of Ornstein–Uhlenbeck type processes

open access: yesLietuvos Matematikos Rinkinys, 2007
The p-variation of sample paths of Ornstein–Uhlenbeck type processes is investigated. It is shown that the p-variation index of such a process is the same as the p-variation index of the driving Lévy process, provided this process is of unbounded total ...
Martynas Manstavičius
doaj   +1 more source

A simple closed-form formula for the conditional moments of the Ornstein-Uhlenbeck process [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2020
This paper derives a simple closed-form formula for the n th conditional moment of the Ornstein-Uhlenbeck (O-U) process, for any positive integer n. The system of recursive ordinary differential equations (ODEs) associated with the n th conditional ...
Kittisak Chumpong   +2 more
doaj   +1 more source

Optimal consumption problem in the Vasicek model [PDF]

open access: yesOpuscula Mathematica, 2015
We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
doaj   +1 more source

Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles

open access: yesFrontiers in Physics, 2021
Active matter systems are driven out of equilibrium by conversion of energy into directed motion locally on the level of the individual constituents.
Lennart Dabelow, Ralf Eichhorn
doaj   +1 more source

Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps

open access: yesJournal of Biological Dynamics, 2022
This paper is concerned with a modified Leslie–Gower and Holling-type II two-predator one-prey model with Lévy jumps. First, we use an Ornstein–Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive ...
Yongxin Gao, Fan Yang
doaj   +1 more source

Evolutionary radiation of large‐bodied gorgonopsians from the lower Abrahamskraal formation of South Africa

open access: yesThe Anatomical Record, EarlyView.
Abstract The middle Permian represents a critical interval in therapsid evolution, when gorgonopsians emerged as some of the first specialized apex predators within terrestrial ecosystems. Despite their significance, the early diversification of Gorgonopsia in Gondwana remains poorly understood due to scarcity and fragmentary material.
Zanildo Macungo   +5 more
wiley   +1 more source

Levy Noise Affects Ornstein-Uhlenbeck Memory. [PDF]

open access: yesEntropy (Basel)
This paper investigates the memory of the Ornstein–Uhlenbeck process (OUP) via three ratios of the OUP increments: signal-to-noise, noise-to-noise, and tail-to-tail. Intuition suggests the following points: (1) changing the noise that drives the OUP from
Eliazar I.
europepmc   +2 more sources

Tracing the evolutionary history of the morpho‐anatomy of baculum in primates

open access: yesThe Anatomical Record, EarlyView.
Abstract Animal morphology reflects both evolutionary history and present‐day adaptation. Male mammal copulatory structures such as the baculum (penile bone) are ideal for studying these processes because of their complexity and high interspecific variability. In primates, however, research has focused mostly on baculum length.
Federica Spani   +3 more
wiley   +1 more source

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