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On the expected range and expected adjusted range of partial sums of exchangeable random variables

Published online by Cambridge University Press:  14 July 2016

D. C. Boes  and
J.D. Salas-La Cruz
D. C. Boes
Affiliation:
Colorado State University, Fort Collins
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Abstract

Studies of storage capacity of reservoirs, under the assumption of infinite storage, lead to the problem of finding the distribution of the range or adjusted range of partial sums of random variables.

In this paper, formulas for the expected values of the range and adjusted range of partial sums of exchangeable random variables are presented. Such formulas are based on an elegant result given in Spitzer (1956). Some consequences of the aforementioned formulas are discussed.

Keywords

EXPECTED ADJUSTED RANGE OF PARTIAL SUMS OF EXCHANGEABLE RANDOM VARIABLESADJUSTED RANGE IN STORAGE THEORYHURST PHENOMENONSTABLE DISTRIBUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 671 - 677
Copyright
Copyright © Applied Probability Trust 1973 

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Footnotes

Research supported by the National Science Foundation, Grant No. GK-31512X.

References

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