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@article{05bc9b1c13b845f6a5a0fcafca84790f,
title = "A stochastic model of information channels with random loads and random intensities: The Pseudo-Poisson type random processes approach",
abstract = "A stochastic model of an information channel with random intensities and random loads is constructed. We investigate a model of an information flow in which some part of information from {"}the past{"}is projected to {"}the present{"}and another part of the information is left behind. The {"}present{"}information is supplemented by some innovations which replace the vanished information. We obtain several limit theorems for normed sums of independent identically distributed information channels. A class of limit processes consists of various generalizations of the Ornstein-Uhlenbeck process. We also describe a construction of self-similar processes with a wide range of one-dimensional distributions of their truncations.",
author = "Якубович, {Юрий Владимирович} and Русаков, {Олег Витальевич} and Ласкин, {Михаил Борисович}",
year = "2023",
month = mar,
day = "9",
doi = "10.1063/5.0125020",
language = "English",
volume = "2700",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",
number = "1",
note = "MIST Aerospace - IV - 2021: Передовые технологии в аэрокосмической отрасли, машиностроении и автоматизации ; Conference date: 10-12-2021",
url = "https://conf.domnit.ru/ru/materialy/mist-aerospace-2018-materials-ru/#mist4",

}

RIS

TY - JOUR

T1 - A stochastic model of information channels with random loads and random intensities: The Pseudo-Poisson type random processes approach

AU - Якубович, Юрий Владимирович

AU - Русаков, Олег Витальевич

AU - Ласкин, Михаил Борисович

PY - 2023/3/9

Y1 - 2023/3/9

N2 - A stochastic model of an information channel with random intensities and random loads is constructed. We investigate a model of an information flow in which some part of information from "the past"is projected to "the present"and another part of the information is left behind. The "present"information is supplemented by some innovations which replace the vanished information. We obtain several limit theorems for normed sums of independent identically distributed information channels. A class of limit processes consists of various generalizations of the Ornstein-Uhlenbeck process. We also describe a construction of self-similar processes with a wide range of one-dimensional distributions of their truncations.

AB - A stochastic model of an information channel with random intensities and random loads is constructed. We investigate a model of an information flow in which some part of information from "the past"is projected to "the present"and another part of the information is left behind. The "present"information is supplemented by some innovations which replace the vanished information. We obtain several limit theorems for normed sums of independent identically distributed information channels. A class of limit processes consists of various generalizations of the Ornstein-Uhlenbeck process. We also describe a construction of self-similar processes with a wide range of one-dimensional distributions of their truncations.

UR - https://www.mendeley.com/catalogue/cb14a50f-7a32-302d-ad76-e4533be94ca1/

U2 - 10.1063/5.0125020

DO - 10.1063/5.0125020

M3 - Conference article

VL - 2700

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

T2 - MIST Aerospace - IV - 2021: Передовые технологии в аэрокосмической отрасли, машиностроении и автоматизации

Y2 - 10 December 2021

ER -

ID: 114630062