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Corrections and acknowledgment for “Local limit theory and large deviations for supercritical branching processes”

2006/11/01 by Peter Ney, P. E. Ney, Anand N. Vidyashankar
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #advanced mathematical theories #math.PR

paper · pdf · doi:10.1214/105051606000000574

published as Annals of Applied Probability 2006, Vol. 16, No. 4, 2272-2272 · Published at http://dx.doi.org/10.1214/105051606000000574 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

openalex publication_date 2006/11/01 · arxiv created 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Theorem 1 in Our error stems from the fact that the lower bound C 1 was determined by an integral expression which we treated as positive, whereas in fact it was zero. This led to an incorrect normalization A n when 1. This error was communicated to us by K. Fleischmann and V. Wachtel, and the correction, that A n = p n 1 v (-1) n for all 0 < < , appears in their paper We thank them for this communication. The same error carried into Theorem 2, where the inequality (8) holds for all 0 < < .

Citations