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Revisiting Conditional Limit Theorems for the Mortal Simple Branching Process

Revisiting Conditional Limit Theorems for the Mortal Simple Branching Process

The various conditional limit theorems for the simple branching process are considered within a unified setting. In the subcritical case conditioning events have the form { cal H∈n+cal S} , where cal H is the time to extinction, and cal S is a subset of the natural numbers. The resulting …