A dam with inverse Gaussian input
Author:
- 1 July 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 60 (4) , 931-933
Abstract
Gani and Prabhu (1) have presented a general theory of storage for dams subject to a steady release. At timet≥ 0, let a dam of infinite capacity have a continuous random contentZ(t) ≥ 0; the inputX(t) ≥ 0 which has entered it during timetfollows an infinitely divisible distribution, while the dam is subject to a steady release at constant unit rate except if it is empty, when the release ceases. A procedure is obtained whereby various functions describing the transient behaviour ofZ(t) can be calculated in principle.Keywords
This publication has 5 references indexed in Scilit:
- A storage model with continuous infinitely divisible inputsMathematical Proceedings of the Cambridge Philosophical Society, 1963
- The Epochs of Emptiness of a Semi-Infinite Discrete ReservoirJournal of the Royal Statistical Society Series B: Statistical Methodology, 1963
- Some Problems in the Theory of DamsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1957
- Statistical Properties of Inverse Gaussian Distributions. IThe Annals of Mathematical Statistics, 1957
- A PROBABILITY THEORY OF A DAM WITH A CONTINUOUS RELEASEThe Quarterly Journal of Mathematics, 1956