Afanasyev, V. I. Invariance principle for the critical branching process in a random environment attaining a high level. (English. Russian original) Zbl 1197.60032 Theory Probab. Appl. 54, No. 1, 1-13 (2009); translation from Teor. Veroyatn. Primen. 54, No. 1, 3-17 (2009). Summary: A conditional invariance principle is established for the critical branching process in a random environment attaining a high level, and finite-dimensional distributions of the limiting process are found. Cited in 2 Documents MSC: 60F17 Functional limit theorems; invariance principles 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) 60K37 Processes in random environments Keywords:branching process in a random environment; conditional invariance principles; Brownian excursion; Brownian meander PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Theory Probab. Appl. 54, No. 1, 1--13 (2009; Zbl 1197.60032); translation from Teor. Veroyatn. Primen. 54, No. 1, 3--17 (2009) Full Text: DOI