Local limit theory and large deviations for supercritical Branching processes

Details Local limit theory and large deviations for supercritical Branching processes Local limit theory and large deviations for supercritical Branching processes

2004-07-05

arxiv.org/abs/math/0407059v1

Annals of Applied Probability 2004, Vol. 14, No. 3, 1135-1166

Mathematics

Probability

Scientific paper

10.1214/105051604000000242

In this paper we study several aspects of the growth of a supercritical Galton-Watson process {Z_n:n\ge1}, and bring out some criticality phenomena determined by the Schroder constant. We develop the local limit theory of Z_n, that is, the behavior of P(Z_n=v_n) as v_n\nearrow \infty, and use this to study conditional large deviations of {Y_{Z_n}:n\ge1}, where Y_n satisfies an LDP, particularly of {Z_n^{-1}Z_{n+1}:n\ge1} conditioned on Z_n\ge v_n.

Affiliated with

Also associated with

No associations

Rating

Local limit theory and large deviations for supercritical Branching processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local limit theory and large deviations for supercritical Branching processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local limit theory and large deviations for supercritical Branching processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-72894