%0 Journal Article %A Samosonok , Alexander S. %D 2013 %I Begell House %K conditions of strong consistency, least square estimate, Markovian sequences, Gibbs distribution, approximation of criterion function, empiric estimate, practical application, stochastic processes modeling %N 10 %P 28-35 %R 10.1615/JAutomatInfScien.v45.i10.50 %T Investigation of Consistency of Estimates of Parameters of the Gibbs Distribution Obtained by the Least Square Method %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,1857a61c2efefcfb,1080a2ac233f2386.html %V 45 %X Conditions of strong consistency of least square estimate for Markovian sequences with the Gibbs distribution were considered. We stated and proved theorems, which make it possible to approximate criterion function of Markovian process with unique point of maximum by its empiric estimate. In spite of their theoretical character the obtained results have sufficiently wide sphere of practical application on stochastic processes modeling. %8 2013-11-28