Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-04T18:32:05.621Z Has data issue: false hasContentIssue false
  • English
  • Français

THE MARKOV OSCILLATION PROBLEM IN DISCRETE TIME

Published online by Cambridge University Press:  01 February 2000

YONGLONG DAI  and
ERIC RENSHAW
YONGLONG DAI
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou 510275, China; [email protected]
ERIC RENSHAW
Affiliation:
Department of Statistics and Modelling Science, Livingstone Tower, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK; [email protected]
Get access

Abstract

Consider a discrete-time regenerative phenomenon with associated renewal sequence un. General results for the supremum of um+1, …, um+n are developed for those renewal sequences {un} for which the first m + 1 elements match those of a fixed renewal sequence {vn}, that is, u0 = v0, …, um = vm. A series of associated lemmas are developed in the process.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 301 - 314
Copyright
The London Mathematical Society 2000

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.)