Hostname: page-component-7bb8b95d7b-5mhkq Total loading time: 0 Render date: 2024-09-12T11:42:59.929Z Has data issue: false hasContentIssue false
  • English
  • Français

Coupling methods and the storage equation

Published online by Cambridge University Press:  14 July 2016

Wilfrid S. Kendall
Wilfrid S. Kendall*
Affiliation:
University of Hull
*
∗ Postal address: Department of Mathematical Statistics, University of Hull, Hull HU6 7RX, U.K.
Get access Rights & Permissions [Opens in a new window]

Abstract

Coupling methods are applied to the study of the storage equation with stationary input. Results on the existence of statistical equilibria are obtained. Means of obtaining rate-of-convergence estimates are indicated.

Keywords

COUPLINGERGODICITYSTATISTICAL EQUILIBRIUMSTORAGE EQUATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 2 , June 1983 , pp. 436 - 441
Copyright
Copyright © Applied Probability Trust 1983 

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.)

Footnotes

Part of this research was carried out while visiting CSIRO Division of Mathematics and Statistics, Melbourne, Australia.

References

Iosifescu, M. (1980) Finite Markov Processes and Their Applications. Wiley, New York.Google Scholar
Lloyd, E. H. (1963) Reservoirs with serially correlated inflows. Technometrics 5, 85–93.Google Scholar
Moran, P. A. P. (1969) A theory of dams with continuous input and a general release rule. J. Appl. Prob. 6, 88–98.Google Scholar
Tin, Pyke and Phatarfod, R. M. (1974) On infinite dams with inputs forming a stationary process. J. Appl. Prob. 11, 553–561.Google Scholar
Prabhu, N. U. (1964) Time-dependent results in storage theory. J. Appl. Prob. 1, 1–46.Google Scholar