Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (1)
- Authors
- Tukhtaev, Erkin E.
- Contact information
- Tukhtaev, Erkin E.: Karshi State University 17, Kuchabag st., Karshi city, 180100 Uzbekistan; erkin.tuxtayev@mail.ru
- Keywords
- Galton-Watson branching process; slowly varying functions; generating functions
- Abstract
We investigate an application of slowly varying functions (in sense of Karamata) in the theory of Galton- Watson branching processes. Consider the critical case so that the generating function of the per-capita offspring distribution has the infinite second moment, but its tail is regularly varying with remainder. We improve the Basic Lemma of the theory of critical Galton-Watson branching processes and refine some well-known limit results
- Pages
- 51–57
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109326
Journal of Siberian Federal University. Mathematics & Physics / On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process
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