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math.PR2024
Growth of power series with nonnegative coefficients, and moments of power series distributions
Alicia Cantón, José L. Fernández, Pablo Fernández +1
Any power series with nonnegative coefficients has an associated family of probability distributions supported on the nonnegative integers. There is a close connection between the…
math.PR2022
The distance to the border of a random tree
Víctor J. Maciá
Given a Galton-Watson process conditioned to have total progeny equal to , we study the asymptotic probability that this conditioned Galton-Watson process has distance to the bo…
math.PR2022
Large Powers asymptotics, Khinchin families and Lagrangian distributions
José L. Fernández, Víctor J. Maciá
This paper delves on the versatility of the theory of Khinchin families for asymptotic estimation. We show that in combination with Local Central Limit theorems for lattice variabl…