Abstract. The empirical estimate of the unknown parameter of a homogenous (in restricted sense) random field with continuous time and continuous states observed in a circle is considered. The strong consistency of the estimate is proved. The conditions under which the estimates weakly converge to the Gaussian distribution are established.
Keywords: method of observed mean, random field, probability, function, minimization, continuity.
Гололобов Дмитрий Александрович,
аспирант Киевского национального университета имени Тараса Шевченко,
e-mail: obd@ukr.net.
Касицкая Евгения Иосифовна, старший научный сотрудник Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: e.kasitskaya@gmail.com.