Cheremska N. Stochastic Time-dependent Models in Data Processing Problems

The analysis of the modern state of random functions correlation theory and its applications has allowed to define and solve a scientific problem of working out a single approach to get time-dependent function models and to describe those ones that would have a wide range of application. New numerical and functional characteristics of time-dependence have been introduced that describe effectively the nature of random functions deviation from time-dependent ones. A single approach to the construction of the correlation theory of time-dependent random processes and fields has been carried out based on random functions submersion into the corresponding Hilbert space which allows to determine the random process explicitly which in its turn essentially simplifies time-dependent random function modeling procedure. The models of time-dependent random functions suggested in the research have been used for statistic characteristics of etching wedge and for interpretation of data shown by a decametre interferometre URAN-1.