36 citations · 124 across the 36 of their papers we have counts for
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Tail generating functions for extendable branching processes
Serik Sagitov
We study branching processes of independently splitting particles in the continuous time setting. If time is calibrated such that particles live on average one unit of time, the co…
Nonparametric estimation of infinitely divisible distributions based on variational analysis on measures
Alexey Lindo, Sergei Zuyev, Serik Sagitov
The paper develops new methods of non-parametric estimation a compound Poisson distribution. Such a problem arise, in particular, in the inference of a Levy process recorded at equ…
General linear-fractional branching processes with discrete time
Alexey Lindo, Serik Sagitov
We study a linear-fractional Bienaymé-Galton-Watson process with a general type space. The corresponding tree contour process is described by an alternating random walk with the do…
Asymptotic results for the number of Wagner's solutions to a generalised birthday problem
Alexey Lindo, Serik Sagitov
We study two functionals of a random matrix with independent elements uniformly distributed over the cyclic group of integers modulo . One…
A special family of Galton-Watson processes with explosions
Serik Sagitov, Alexey Lindo
The linear-fractional Galton-Watson processes is a well known case when many characteristics of a branching process can be computed explicitly. In this paper we extend the two-para…