Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-21T23:57:49.334Z Has data issue: false hasContentIssue false
  • English
  • Français

Runs of a discrete time regenerative phenomenon

Published online by Cambridge University Press:  14 July 2016

J. P. Imhof
J. P. Imhof*
Affiliation:
University of Geneva
Get access Rights & Permissions [Opens in a new window]

Abstract

The limiting behavior of the number of runs up to time n of a regenerative phenomenon on the positive integers is related to the one of the number of regenerations. Applications are considered in fluctuation theory, and for the GI/G/1 queue.

Keywords

REGENERATIVE PHENOMENARUNSSTABLE LAWSFLUCTUATIONS OF SUMSARC SINE LAWGI/G/1 QUEUE
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 588 - 593
Copyright
Copyright © Applied Probability Trust 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Feller, W. (1966) An Introduction to Probability Theory and its Applications. Vol. II. John Wiley, New York.Google Scholar
[2] Heyde, C. C. (1967) Some local limit results in fluctuation theory. J. Austral. Math. Soc. 7, 455–464.CrossRefGoogle Scholar
[3] Prabhu, N. U. (1970) Limit theorems for the single server queue with traffic intensity one. J. Appl. Prob. 7, 227–233.CrossRefGoogle Scholar