The Asymptotics of Moments for the Remaining Time of Heavy-Tail Distributions

Autor: Vladimir Rusev, Alexander Skorikov
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Computer Sciences & Mathematics Forum, Vol 7, Iss 1, p 52 (2023)
Druh dokumentu: article
ISSN: 2813-0324
DOI: 10.3390/IOCMA2023-14435
Popis: Recent mathematical models of reliability computer systems and telecommunication networks are based on distributions with heavy tails. This paper falls into the category of exploring the classical models with heavy tails: Gnedenko–Weibull, Burr, Benktander distributions. The moment’s asymptotics for residual time have been derived especially for there heavy-tailed distributions. A simulation study is presented to give a practice characterization of the distributions with heavy tails.
Databáze: Directory of Open Access Journals