We consider a family indexed by epsilon of size dependent Galton-Watson processes. We prove the majoration and the minoration of large deviations for epsilon times the logarithm of the population size as epsilon goes to zero.
机构:
Beijing Normal Univ, Beijing 100875, Peoples R China
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Beijing 100875, Peoples R China
机构:
CY Univ, AGM, UMR 8088, Site St Martin, F-95000 Cergy Pontoise, FranceCY Univ, AGM, UMR 8088, Site St Martin, F-95000 Cergy Pontoise, France
Doukhan, Paul
Fan, Xiequan
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Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R ChinaCY Univ, AGM, UMR 8088, Site St Martin, F-95000 Cergy Pontoise, France
Fan, Xiequan
Gao, Zhi-Qiang
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaCY Univ, AGM, UMR 8088, Site St Martin, F-95000 Cergy Pontoise, France