Abstract
This paper considers an infinite dam fed by a discrete input Xt
during the time interval [t, t + 1), t = 0, 1, 2, ···. At time t – 0 there is an output Yt
= min(Zt
–1, + Xt
–1, r) from the dam leaving behind the amount Zt
= max(0, Zt
–1, + Xt
–1, r). The probability Pr(Zt
= i), i = 0, 1, 2, ··· is discussed under the strict assumption that r > 1 and the given initial condition that Z
0 = u, u = 1, 2, ···. The generating function technique has been used throughout the paper.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
1 articles.
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