Description - Random Summation by Boris V. Gnedenko
This book provides an introduction to the asymptotic theory of random summation. It describes solving problems in hardware and software reliability, engineering, finance, insurance, computer science, physics and biology. The authors focus on transfer theorems, the classes of limit laws, and convergence of distributions of sums for a number of random variables. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions,and asymptotic behavior of doubly stochastic Poisson processes.
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