Local limit theory and large deviations for supercritical Branching processes

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dc.creatorNey, Peter E.
dc.creatorVidyashankar, Anand N.
dc.date2004-07-05
dc.date.accessioned2026-07-07T05:09:57Z
dc.date.available2026-07-07T05:09:57Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0407059
dc.identifierhttp://arxiv.org/abs/math/0407059
dc.identifierAnnals of Applied Probability 2004, Vol. 14, No. 3, 1135-1166
dc.identifierdoi:10.1214/105051604000000242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71774
dc.subjectProbability
dc.subject60J80, 60F10. (Primary)
dc.titleLocal limit theory and large deviations for supercritical Branching processes
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