5 papers
The largest fragment in self-similar fragmentation processes of positive index
Piotr Dyszewski, Samuel G. G. Johnston, Sandra Palau +1
We study a self-similar fragmentation process with dislocation measure and self-similarity index . Let denote the size of the largest fragment at time $t \ge…
Distributional properties of first jump times of CBI processes with jump sizes in given Borel sets
Matyas Barczy, Sandra Palau, Yao Xue
We derive an expression for the joint distribution function of the first jump times of a continuous state and continuous time branching process with immigration (CBI process) with…
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…
The coalescent of a sample from a linear-fractional branching process
Natalia Cardona-Tobón, Sandra Palau
In this article, we focus on Bienaymé-Galton-Watson processes with linear-fractional offspring distributions. At a fixed generation, we consider a sample of the individuals alive,…
Rates on Yaglom's limit for Galton-Watson processes in a varying environment
Natalia Cardona-Tobón, Arturo Jaramillo, Sandra Palau
A Galton-Watson process in a varying environment is a discrete time branching process where the offspring distributions vary among generations. It is known that in the critical cas…