Stability estimates of generalized geometric sums and their applications
The upper bounds of the uniform distance rho(Sigma(k=1)(nu) X-k, Sigma(k=1)(nu) (X) over tilde (k)) between two sums of a random number v of independent random variables are given. The application of these bounds is illustrated by stability (continuity) estimating in models in queueing and risk theory.
stability geometric sum upper bound for the uniform distance risk process ruin probability