4 papers
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…
Khinchin families, set constructions, partitions and exponentials
Alicia Cantón, José L. Fernández, Pablo Fernández +1
In this paper, we give a simple criterion to verify that functions of the form are in the Hayman class when is a power series with nonnegative coefficients. Thus, using t…
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…
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…