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math.PR2016★ 1 cited
A pathwise iterative approach to the extinction of branching processes with countably many types
Peter Braunsteins, Geoffrey Decrouez, Sophie Hautphenne
We consider the extinction events of Galton-Watson processes with countably infinitely many types. In particular, we construct truncated and augmented Galton-Watson processes with…
math.ST2016
Finite sample properties of the mean occupancy counts and probabilities
Geoffrey Decrouez, Michael Grabchak, Quentin Paris
For a probability distribution on an at most countable alphabet , this article gives finite sample bounds for the expected occupancy counts and…