The Variogram Estimates Of The Intrinsically-Stationary Stochastic Processes And Fields

Abstract

The development of methods to detect investigation of an intrinsically-stationary stochastic processes and fields is a very important problem in data analysis. Variogram is a main characteristic intrinsically-stationary stochastic processes in time area. It is used for measuring the variability in space. The properties of intrinsically-stationary and multivariate intrinsically-stationary stochastic processes are investigated in this article. The spectral representations of examined processes are determined. The properties of variogram and mutual variogram of the intrinsically-stationary random processes are investigated and the spectral representations of these functions are determined.