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Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
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Open Access Research Article

Large deviations for spatial telecommunication systems : The Boolean model

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pp. 1385–1400Vol. 46Issue 5July 2025DOI: 10.47974/JIOS-1338XML
Received:
08 Jun 2022
Accepted:
04 Oct 2022
Published Online:
23 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1338
Pages:
1385–1400

Abstract

There have been some concerns that telecommunication companies are facing today which are spatial in nature. Systems operated by these telecommunication companies have evolved along the years. The main concern of these companies is the ability to provide quality service to customers or users in a dense regime. Therefore, they sought to answer questions such as (i) what is the best possible configurations of base stations and users that maximizes quality service? (ii) can one estimate and control the probability of bad service, which may be seen as a rare event? and many more which may arise during companies operations. To answer these questions one will often have  to  estimate the tail distribution of events, which may be considered under the realm of large deviations. In this article, we define the empirical marked measure of the Boolean model, which will serve estimate the intensity measure of the Marked Poisson Point Process of devices or users, and the empirical connectivity measure of the Boolean Model which will serve estimate the coverage probability density of the spatial telecommunication area. For these empirical measures, we establish large deviation principle (LDP) in the τ – topology.

Keywords

Subject Classifications

60F1005C8068Q87

References

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