de La Fortelle, Arnaud Yule process sample path asymptotics. (English) Zbl 1110.60035 Electron. Commun. Probab. 11, 193-199, (2006). Summary: This paper presents two results on sample paths for the Yule process: one fluid limit theorem and one sample path large deviation result. The main interest is to understand the way large deviation occurs in the case of non-homogeneous processes. There are indeed two new phenomena. First there is no “typical” speed of large deviation. Second, the large deviation event is concentrated on a finite interval of time. Cited in 3 Documents MSC: 60G17 Sample path properties 60F10 Large deviations PDFBibTeX XMLCite \textit{A. de La Fortelle}, Electron. Commun. Probab. 11, 193--199, (2006; Zbl 1110.60035) Full Text: DOI EuDML