Displaying similar documents to “Invariance of spectral type of a stochastic process with respect to transformation of time.”

A class of stationary stochastic processes

Victor D. Didenko, Natalia A. Rozhenko (2014)

Studia Mathematica

Similarity:

Regular stationary stochastic vector processes whose spectral densities are the boundary values of matrix functions with bounded Nevanlinna characteristic are considered. A criterion for the representability of such processes as output data of linear time invariant dynamical systems is established.

On spectral bandwidth of a stationary random process

Vladimír Klega (1983)

Aplikace matematiky

Similarity:

The irregularity coefficient is one of the numerical characteristics of the spectral bandwith of a stationary random process. Its basic properties are investigated and the application to the dichotomic classification of a process into narrow-band and wide-band ones is given. Further, its behaviour is analyzed for sufficiently wide classes of stationary processes whose spectral densities frequently appear both in theory and applications.