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math.PR2025
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…
math.PR2025
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,…