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

1 March 1973

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 10 (03) , 671-677
https://doi.org/10.1017/s0021900200118546

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

This publication has 5 references indexed in Scilit:

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