Open Access
September, 1960 Emptiness in the Finite Dam
A. Ghosal
Ann. Math. Statist. 31(3): 803-808 (September, 1960). DOI: 10.1214/aoms/1177705811


The paper discusses the general problem of emptiness in the finite dam and considers the probability that, starting with an arbitrary storage, the dam dries up before it fills completely. Some exact results are given both for discrete and continuous inputs. An interesting relation between this probability and the asymptotic distribution function of the dam content has also been obtained.


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A. Ghosal. "Emptiness in the Finite Dam." Ann. Math. Statist. 31 (3) 803 - 808, September, 1960.


Published: September, 1960
First available in Project Euclid: 27 April 2007

zbMATH: 0094.15201
MathSciNet: MR117801
Digital Object Identifier: 10.1214/aoms/1177705811

Rights: Copyright © 1960 Institute of Mathematical Statistics

Vol.31 • No. 3 • September, 1960
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