NDLI: Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks

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Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks

Content Provider	Scilit
Author	Iksanov, Alexander Meiners, Matthias
Copyright Year	2010
Description	We provide sufficient conditions which ensure that the intrinsic martingale in the supercritical branching random walk converges exponentially fast to its limit. We include in particular the case of Galton-Watson processes so that our results can be seen as a generalization of a result given in the classical treatise by Asmussen and Hering (1983). As an auxiliary tool, we prove ultimate versions of two results concerning the exponential renewal measures which may be of interest in themselves and which correct, generalize, and simplify some earlier works.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1771E5EBB2A28C297F784E90DAC42E60/S0021900200006781a.pdf/div-class-title-exponential-rate-of-almost-sure-convergence-of-intrinsic-martingales-in-supercritical-branching-random-walks-div.pdf
Ending Page	525
Page Count	13
Starting Page	513
ISSN	00219002
e-ISSN	14756072
DOI	10.1239/jap/1276784906
Journal	Journal of applied probability
Issue Number	2
Volume Number	47
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2010-06-01
Access Restriction	Open
Subject Keyword	Journal of applied probability Almost Sure Convergence Rate of Convergence Renewal Theory
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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