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On infinite dams with inputs forming a stationary process
- Source :
- Journal of Applied Probability. 11:553-561
- Publication Year :
- 1974
- Publisher :
- Cambridge University Press (CUP), 1974.
-
Abstract
- This paper considers a dam of infinite capacity with a discrete-valued stationary input process and a unit release whenever possible. It is shown how, by suitable manipulations of the equation governing the dam content process, the stationary distribution of the dam being empty can be obtained, as also can (with a few additional assumptions) the expected value of the dam content in the stationary case. Results obtained are applied to particular cases of input independent and identical, Markov, Bivariate Markov and moving-average. INFINITE DAMS; STATIONARY INPUT; UNIT RELEASE; EMPTINESS PROBABILITY; EXPECTED DAM CONTENT
- Subjects :
- Statistics and Probability
Stationary distribution
Stationary process
Markov chain
General Mathematics
Computer Science::Neural and Evolutionary Computation
010102 general mathematics
Stationary case
Process (computing)
Bivariate analysis
Expected value
Computer Science::Numerical Analysis
01 natural sciences
Physics::Geophysics
010104 statistics & probability
Computer Science::Computational Engineering, Finance, and Science
Applied mathematics
0101 mathematics
Statistics, Probability and Uncertainty
Unit (ring theory)
Computer Science::Distributed, Parallel, and Cluster Computing
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....5e20b79ec5b1c039b5dc92dadb0dcbcb