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Local limit theorems for non-critical Galton–Watson processes by or without immigration
R. Höpfner
Journal:

Journal of Applied Probability / Volume 19 / Issue 2 / June 1982

Published online by Cambridge University Press:

14 July 2016, pp. 262-271

Print publication:

June 1982
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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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Local limit theorems for non-critical Galton–Watson processes by or without immigration