The Theory of Storage

additive homogeneous process amount of water analytical approximation asymptotic calculate Chapter characteristic function complicated consider continuous distribution converges corresponding cumulative distribution cumulative distribution function define demand depends discrete distribution distribution function distribution of Zt equal estimate example fact finite dam fn(t Gani geometric distribution given infinite dam initial integral equation interval of length inventory Laplace transform limit m₁ m₁i0 Markov chain Markovian matrix mean Monte Carlo methods negative binomial negative binomial distribution negative exponential distribution non-negative non-zero observed obtained occurs overflow P₁ passage-time Poisson distribution Prabhu prob probability density probability distribution Probability Theory quantity queue R₁ random process random variable release rules restocking result root serial correlation solved standard error stationary distribution streamflows suppose t₁ tends theoretical Theory of Dams tion transition probabilities type III distribution values variance whilst write X(t₁ Z₁ zero