Large deviations for spatial telecommunication systems : The Boolean model
Andrew K. Boahenaboahen@aims.edu.ghKasa Global Villa – 1, Shoppers Street ManetAfrican Institute of Mathematical SciencesSpintex Accra, GhanaView full profile → , *Thomas KatsekporCorresponding authortkatsekpor@ug.edu.ghDepartment of MathematicsCollege of Basic and Applied SciencesUniversity of GhanaP. O. Box LG 62 Accra, GhanaView full profile → , Kwabena Doku-Amponsahkdoku-amponsah@ug.edu.ghDepartment of Statistics and Actuarial ScienceCollege of Basic and Applied SciencesBox LG 115 AccraUniversity of GhanaGhanaView full profile →
* Corresponding author · click or hover a name for details
- 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
Keywords
Subject Classifications
References
[1] F. Baccelli and B. Blaszczyszyn, Stochastic Geometry and Wireless Networks, Vol. I, Theory, Now Publishers Inc. (2009).
[2] F. Baccelli and B. Blaszczyszyn, Stochastic Geometry and Wireless Networks, Vol. II, Applications, Now Publishers Inc. (2009).
[3] J. D. Biggins, “Large deviations for mixtures,” Electron. Comm. Probab., vol. 9, pp. 60–71 (2004).
[4] A. K. Boahen, T. Katsekpor, and K. Doku-Amponsah, “Large deviations for spatial telecommunication systems: The boolean model,” arXiv (2021). [Online]. Available: https://arxiv.org/pdf/2108.11820.pdf.
[5] K. Doku-Amponsah, “Large deviations and basic information theory for hierarchical and networked data structures,” Ph.D. Thesis, University of Bath, Bath, U.K., ProQuest Dissertations Publishing (2006).
[6] A. Dembo and O. Zeitouni, Large Deviations: Techniques and Applications, 2nd ed., Springer, New York (1998).
[7] M. Haenggi, Advanced Topics in Random Wireless Networks, Course notes (2010).
[8] C. M. Hirsch, B. Jahnel, P. Keeler, and R. Patterson, “Large deviation principles for connectable receivers in wireless networks,” Advances in Applied Probability, vol. 48, no. 4, pp. 1061–1094 (2016).
[9] H. Robins, “A Remark on Stirling’s Formula,” The American Mathematical Monthly, vol. 62, no. 1, pp. 26–29 (1995).
[10] E. Sakyi-Yeboah, L. Asiedu, and K. Doku-Amponsah, “Local large deviation principle, large deviation principle, and information theory for the signal-to-interference-plus-noise ratio graph models,” Journal of Information and Optimization Sciences, vol. 42, no. 1, pp. 249–273 (2020).
[11] E. Sakyi-Yeboah, P. Andam, L. Asiedu, and K. Doku-Amponsah, “Large deviations, Sharron-MacMillan-Breiman Theorem for super-critical telecommunication networks,” Journal of Information and Optimization Sciences, vol. 42, no. 7, pp. 1665–1683 (2020).
[12] A. T. Matthew and A. Kottas, “Mixture Modeling for Marked Poisson Processes,” Bayesian Analysis, vol. 7, no. 2, pp. 335–362 (2012).
[13] I. Umar, A. Lotis, and K. Doku-Amponsah, “From Statistical Mechanics to Large Deviations of Uniformly Random D-Regular Graphs,” Journal of Discrete Mathematics and Cryptography, vol. 24, no. 6, pp. 1767–1773 (2021).




