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

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...

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Bibliographic Details
Main Authors: Vladimir Rusev, Alexander Skorikov
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Computer Sciences & Mathematics Forum
Subjects:
Online Access:https://www.mdpi.com/2813-0324/7/1/52
Description
Summary: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.
ISSN:2813-0324