Chebyshev-like inequalities for dam models
- 1 June 1972
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (3) , 617-629
- https://doi.org/10.2307/3212330
Abstract
A dam model is proposed for which it is assumed that the conditional distributions of the inputs, given the past, are known only to lie in some class M. For selected M, bounds are derived on various quantities of interest such as the mean time to first emptiness. The case of normal inputs is treated in greater detail and a release rule is discussed. The techniques used are similar to those used in the theory of gambling as developed by Dubins and Savage (1965).Keywords
This publication has 4 references indexed in Scilit:
- Recent advances in storage and flooding theoryAdvances in Applied Probability, 1969
- The Theory of RiskJournal of the Royal Statistical Society Series B: Statistical Methodology, 1967
- Time-dependent results in storage theoryJournal of Applied Probability, 1964
- On Optimal SystemsThe Annals of Mathematical Statistics, 1954