On the Distribution of the Stationary Point of Significance Level for Empirical Distribution Function

A. A. Kislitsyn, Yu N. Orlov, D. A. Moltchanov, A. K. Samuylov, A. V. Chukarin, Yu V. Gaidamaka

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Abstract

We consider empirical distribution functions of nonstationary time-series, depending on set length. The local self- consistent significance level is introduced. The class of time- series, for which the distribution function of significance level is stationary, is considered. For example, the signal-to-interference ratio for random walking subscribers in D2D model of wireless connection belongs to this class of random processes. We introduce also the so-called Chernoff equivalence of the self-consistent significance level and derive the formula of averaging levels for various sets.

Original languageEnglish
Title of host publication2018 10th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)
ISBN (Electronic)9781538693605
DOIs
Publication statusPublished - 2019
Publication typeA4 Article in a conference publication
EventInternational Congress on Ultra Modern Telecommunications and Control Systems and Workshops - Moscow, Russian Federation
Duration: 5 Nov 20189 Nov 2018

Publication series

NameInternational Congress on Ultra Modern Telecommunications and Control Systems and Workshops
Volume2018-November
ISSN (Print)2157-0221
ISSN (Electronic)2157-023X

Conference

ConferenceInternational Congress on Ultra Modern Telecommunications and Control Systems and Workshops
Country/TerritoryRussian Federation
CityMoscow
Period5/11/189/11/18

Keywords

  • Chernoff equivalence
  • D2D communications
  • Non-stationary distribution function
  • Significance level
  • Stationary point

Publication forum classification

  • Publication forum level 1

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

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