• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • The First Achievement of a Given Level by a Random Process
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

The First Achievement of a Given Level by a Random Process

P. 3820–3825.
Semakov S., Semakov A., Semakov I.

We estimate the probability that the first achievement of a given level by the component y_1(x) of n-dimensional continuous process y(x)={y_1(x),…,y_n(x)} occurs at some moment x* from a given interval (x′,x′′) and, at this moment x*, the condition (y_2(x*),…,y_n(x*))∈D holds, where D is a given domain of (n−1)-dimensional Euclidean space R^(n−1). The need to calculate the abovementioned probability arises in the problems of aircraft control during landing.

Language: English
DOI
Text on another site
Keywords: probabilityrandom processcrossing level

In book

62nd IEEE Conference on Decision and Control (CDC), Singapore, Singapore, 2023
IEEE, 2023.
Similar publications
On a Problem Related to Achieving a Given Level by a Random Process
Sergei L. Semakov, , in: Proceedings of the 2026 12th International Conference on Control, Decision and Information Technologies (CoDIT) (Italy, Bari, July 13–16, 2026).: IEEE, 2026. P. 153–156.
The problem of the first achievement of a given level by a random process is considered. The previously obtained general results are specified for a smooth Gaussian process. ...
Added: August 24, 2026
ВЕРОЯТНОСТЬ НЕЗАВИСИМОСТИ (сюжет для исследовательских проектов школьников)
Semenov P., Математика в школе 2024 № 4 С. 34–40
Simple examples are given to show that the independence of two random events is a very rare circumstance. It is shown how to estimate its frequency. Open questions are posed ...
Added: March 14, 2026
Об одной задаче, связанной с моментом первого достижения заданного уровня случайным процессом
Семаков С. Л., Автоматика и телемеханика 2025 № 12 С. 104–118
This paper considers the problem of estimating the probability of the following event: a continuous random process will first reach a given level at some time from a given variation interval of the independent variable. The general results obtained previously are specified for a smooth Gaussian process. The estimates are calculated for different values of ...
Added: February 23, 2026
Method of calculating the probability of a safe landing for ship-based aircraft
Semakov S., Semakov I., IEEE Transactions on Aerospace and Electronic Systems 2022 Vol. 58 No. 6 P. 5425–5442
We propose the method for calculating the probability of a safe landing for ship-based aircraft. We define a safe landing as the event that the initial touch of the landing surface by an aircraft occurs on a given segment of the deck, and at the time of this contact, the phase coordinates of the aircraft ...
Added: August 9, 2025
Crossings Problems in Random Processes Theory and Their Applications in Aviation
Sergei L. Semakov, Cambridge Scholars Publishing, 2019.
The behavior of any real system is a process to a greater or lesser degree probabilistic. As a rule, it is impossible to specify exactly which external influences and internal mechanisms of interaction of the system components will be decisive in the future. As a consequence, we cannot accurately predict the behavior of the system. ...
Added: August 3, 2025
The first achievement of a given level by a random process
Sergei L. Semakov, IEEE Transactions on Information Theory 2024 Vol. 70 No. 10 P. 7162–7178
We propose a scheme for finding the probabilities of events related to crossings of a level by a random process. Using this scheme, we estimate the probability that the first achievement of a given level by the component y_1(x) of an n-dimensional continuous process y(x)={y_1(x),…,y_n(x)} occurs at some moment x* from a given interval (x′,x′′) and, at this moment x* , the other components y_2(x*),…,y_n(x*) satisfy given ...
Added: August 3, 2025
The problem of the exit of a random process to the boundary of a domain and its application to the study of the behavior of stock prices
Sergei Semakov, International Journal of Dynamics and Control 2025 Vol. 13 No. 5 Article 201
We consider the problem of the exit of a diffusion Markov process to the boundary of a given domain. We concentrate on the one-dimensional case and solve the problem of finding the probability that the first exit of the process beyond the established corridor will occur at a given time. We apply the obtained results ...
Added: August 2, 2025
Simulation and Optimization in the Tasks of Organizing Labor Resources in the Context of Digitalization
Aristova N., Chadeev V., Iakimova O., , in: 2024 17th International Conference on Management of Large-Scale System Development (MLSD).: IEEE, 2024. P. 1–4.
Added: February 3, 2025
New Goodness-of-Fit Tests for Family of Rayleigh Distributions, Based on a Special Property and a Characterization
I. A. Ragozin, Journal of Mathematical Sciences 2024 Vol. 281 No. 1 P. 158 – 167
New goodness-of-fit tests for Rayleigh distribution family with an arbitrary scale-parameter σ, are constructed on the base of some property and some characterization. For these tests, limiting distributions are described, local Bahadur efficiencies under close alternatives are calculated, and asymptotic comparison of our test statistics is performed. ...
Added: November 13, 2024
14th International Conference, OPTIMA 2023, Petrovac, Montenegro, September 18–22, 2023, Revised Selected Papers. Communications in Computer and Information Science (CCIS, volume 1913)
Springer, 2023.
This book constitutes the refereed proceedings of the 14th International Conference on Advances in Optimization and Applications, OPTIMA 2023, held in Petrovac, Montenegro, during September 18–22, 2023. The 21 full papers included in this book were carefully reviewed and selected from 68 submissions. They were organized in topical sections as follows: ​mathematical programming; global optimization; continuous optimization; ...
Added: December 9, 2023
A variational principle for domino tilings of multiply-connected domains
Кучумов Н. И., / Series arXiv "math". 2021.
We study random domino tilings of a multiply-connected domain with a height function defined on the universal covering space of the domain. We prove a large deviation principle for the height function in two asymptotic regimes. The first regime covers all domino tilings of the domain. We also prove a law of large numbers for ...
Added: June 24, 2022
Задачник по теории вероятностей для студентов социально-гуманитарных специальностей.
Makarov A. A., Pashkevich A., М.: Московский центр непрерывного математического образования, 2022.
В книге содержится большое количество задач, ориентированных на практику, образцы домашних, контрольных и экзаменационных работ. Ко всем задачам даны ответы, а некоторые задания снабжены подробным решением и комментариями. Приведены справочные сведения об основных теоретических понятиях. Учебный материал изложен просто, интересно и эффективно для усвоения. Учебное пособие рассчитано в первую очередь на студентов высших учебных заведений, обучающихся ...
Added: May 11, 2022
Анализ вероятности банкротства российских и европейских предприятий различной отраслевой принадлежности.
Bogdanova T., Kravchenko T. K., В кн.: Системное моделирование социально-экономических процессов: труды 44-ой Международной научной школы-семинара, г. Воронеж, 4 – 9 октября 2021 г.: Воронеж: Истоки, 2021..
Added: February 8, 2022
Mathematical Optimization Theory and Operations Research: 20th International Conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021, Proceedings
Cham: Springer, 2021.
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021.  The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. ...
Added: July 8, 2021
Теория вероятностей и математическая статистика для социологов и менеджеров. Учебник для вузов
Pashkevich A., М.: Московский центр непрерывного математического образования, 2020.
Учебник написан в соответствии с Федеральным государственным образовательным стандартом по направлениям подготовки «Социология» и «Менеджмент» (квалификация «бакалавр»). Вероятность рассматривается на концептуальном уровне, встроенном непосредственно в ткань социальных исследований и неразрывно связана с методологией математико-статистических решений. В учебнике представлены материалы по методам описательной статистики, коэффициентам корреляции, построению доверительных интервалов и проверке статистических гипотез, о нормальном распределении и распределении Стьюдента, ...
Added: July 28, 2020
Transport Workers Activities Analysis Using an Artificial Neural Network
Kulagin M., Sidorenko V., , in: Proceedings of the Third International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’18) Volume 2Vol. 2.: Springer, 2019. P. 308–316.
This article describes modern methods of data processing regarding the task of assessing activities of transportation employees. The main purpose was to find dependencies in data and construct an algorithm for predicting the probability of transport safety violation by employee. The research was conducted for locomotive drivers. The following algorithms were used: neural networks, gradient boosting over decision trees and ...
Added: January 19, 2019
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit