Математика институти

Implementations of the research results. The results obtained in the dissertation have been used in the following research projects:
limit theorems for the Galton-Watson Branching Processes and for the Galton-Watson Branching Processes allowing Immigration have been used in the research Grant № 337/07, 06-223-3-104 – “Nonparametric evaluations of distribution density and regression function, stochastic analysis and applications in financial mathematics” (Enquiry of Georgian Statistical Association dated June 26, 2018). The application of these limit theorems have contributed to find limit probabilities for some stochastic processes;
the asymptotic formulas for the local probabilities of Markov Branching Processes have been used in the research project № FR/308/5-104/12 – “Some problems of statistical estimations and stochastic analysis” (Enquiry of Georgian Statistical Association dated June 26, 2018). The application of these limit theorems have contributed to prove limit theorems for some stochastic processes;
the asymptotic formulas and methods of their proof for the Markov Branching Processes and processes allowing immigration have been used in the realization of research project №1.511.2014/К – “Investigation of mathematical models of information streams, computer networks, algorithms of processing and data transmission” within the project part of the Governmental task of Russian Federation (Enquiry of Institute of applied mathematics and computer sciences dated October 1, 2018, Tomsk, Russia). These results have been used in creation of modifications of a method of asymptotic analysis for the analysis of characteristics and parameters of models of wireless communication networks and have contributed to increase their efficiency.