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Local limit theorems for non-critical Galton–Watson processes by or without immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
From normal limiting distributions of suitably normed sequences of Galton–Watson processes or Galton-Watson processes with immigration, with initial states tending to ∞, we can derive local limit theorems for the transition probabilities Qn (i, j) and Pn (i, j) in the non-critical case, when initial state i and final state j tend to ∞ with n.
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- Copyright © Applied Probability Trust 1982
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