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math.PR2020
Defective Galton-Watson processes in a varying environment
Götz Kersting, Carmen Minuesa
We study an extension of the so-called defective Galton-Watson processes obtained by allowing the offspring distribution to change over the generations. Thus, in these processes, t…
math.ST2020
Parameter estimation in branching processes with almost sure extinction
Peter Braunsteins, Sophie Hautphenne, Carmen Minuesa
We consider population-size-dependent branching processes (PSDBPs) which eventually become extinct with probability one. For these processes, we derive maximum likelihood estimator…