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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.
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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 

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Footnotes

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

References

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Prabhu, N. U. (1964) Time-dependent results in storage theory. J. Appl. Prob. 1, 1–46.Google Scholar