The asymptotic distribution of the maximum deficit of partial sums of independent random variables
Francisco Luis Sibut. Gomide · Water Resources Research · 1979
Studies of storage capacity of reservoirs lead to the problem of finding the distribution of the maximum deficit of partial sums of independent random variables. In this paper, the asymptotic distribution of the maximum deficit is derived using the theory of Markov chains. The range and the adjusted range of partial sums of independent random variables are also discussed.