An infinite discrete dam with dependent inputs
- 1 June 1972
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (2) , 404-413
- https://doi.org/10.2307/3212808
Abstract
This paper is concerned with an infinite discrete dam fed by inputs which form a moving average sequence. Generating functions are derived for the joint time dependent distribution of the content, accumulated input and total dry time, the distribution of first emptiness, and the stationary content distribution. Also investigated is the problem of first emptiness before overflow for the finite dam.Keywords
This publication has 8 references indexed in Scilit:
- Finite dams with inputs forming a Markov chainJournal of Applied Probability, 1970
- Recent advances in storage and flooding theoryAdvances in Applied Probability, 1969
- Infinite dams with inputs forming a Markov chainJournal of Applied Probability, 1968
- A note on the equilibrium distribution of levels in a semi-infinite reservoir subject to Markovian inputs and unit withdrawalsJournal of Applied Probability, 1965
- A Note on the Solution of Dam EquationsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1964
- A probability theory of reservoirs with serially correlated inputsJournal of Hydrology, 1963
- On the Stochastic Matrices Associated with Certain Queuing ProcessesThe Annals of Mathematical Statistics, 1953
- Inequalities for Fourier transforms of positive functionsDuke Mathematical Journal, 1945