43804

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

On strong bounds of rate of convergence for regenerative processes

ISBN/ISSN: 

ISSN 1865-0929 ISBN 978-3-319-51916-6

DOI: 

DOI 10.1007/978-3-319-51917-3_34

Наименование источника: 

  • Communications in Computer and Information Science

Обозначение и номер тома: 

678

Город: 

  • Cham

Издательство: 

  • Springer -Verlag GmbH

Год издания: 

2016

Страницы: 

381-393
Аннотация
We give strong bounds for the rate of convergence of the regenerative process distribution to the stationary distribution in the total variation metric. For this aim we propose a new modification of the coupling method which we call stationary coupling method. Use of this stationary coupling method improves the classic results about the convergence rate of the distribution of the regenerative process in the case of a heavy tail. Also this method can be applied for obtaining the bounds of the rate of the convergence for the queueing regenerative processes.

Библиографическая ссылка: 

Зверкина Г.А. On strong bounds of rate of convergence for regenerative processes // Communications in Computer and Information Science. 2016. 678. С. 381-393.