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Small deviation probabilities of weighted sums with fast decreasing weights

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Small deviation probabilities, i.i.d. positive random variables, weighted sums, slowly varying functions, regularly varying functions.

On a limit structure of the Galton–Watson branching processes with regularly varying generating functions

DOI: http://dx.doi.org/10.19195/0208-4147.39.1.4

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Galton–Watson branching processes, regularly varying functions, transition functions, invariant measures, limit theorems, Q-processes.

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