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Stationary Stochastic Processes
2009This chapter is devoted to further topics in the theory of stochastic processes and of their applications. We start with a different, weaker, definition of a stochastic process, useful in the study of stationary processes.
Alexandre J. Chorin, Ole H. Hald
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Extension of stationary stochastic processes
Probability Theory and Related Fields, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamm, Barbara, Schief, Andreas
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Representation of Strongly Stationary Stochastic Processes
Journal of Applied Mechanics, 1993A generalization of the orthogonality conditions for a stochastic process to represent strongly stationary processes up to a fixed order is presented. The particular case of non-normal delta correlated processes, and the probabilistic characterization of linear systems subjected to strongly stationary stochastic processes are also discussed.
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Generation of non-Gaussian stationary stochastic processes
Physical Review E, 1996A procedure is developed to generate a non-Gaussian stationary stochastic process with the knowledge of its first-order probability density and the spectral density. The procedure is applicable to an arbitrary probability density if the spectral density is of a low-pass type, and to a large class of probability densities if the spectral density is of a
, Cai, , Lin
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Effect of multiplicative noise on stationary stochastic process
Physical Review E, 2018An open system that can be analyzed using the Langevin equation with multiplicative noise is considered. The stationary state of the system results from a balance of deterministic damping and random pumping simulated as noise with controlled periodicity.
A V, Kargovsky +2 more
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Factor Analysis Models for Stationary Stochastic Processes
1986A new class of dynamic models for stationary time series is presented. It is a natural dynamic generalization of the well-known Factor Analysis Model widely used in Statistics. Factor Analysis models of time series are also related to dynalaic Errors-in-Variables models discussed in the recent literature.
PICCI, GIORGIO, PINZONI, STEFANO
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Limiting stochastic operations for stationary spatial processes
Mathematical Geology, 1991A natural extrapolation of stochastic operations (continuity and differentiation) already described in time domain (one-dimensional case) is established for spatial processes (two- or three-dimensional case). If stationarity decision is assumed, the continuity and differentiability (in the mean square sense) of a spatial process depends on the ...
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Stationary and Related Stochastic Processes
Technometrics, 1967J. B. Parker +2 more
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Resistant estimators for stationary ergodic stochastic processes
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of Stationary Stochastic Processes
1982In this section we describe basic concepts of noise analysis of stationary processes. The contents and further details may be found in most of the standard books on noise analysis, e.g. Bendat,Piersol (1971), Bell (1960), Bittel, Storm (1971), Pfeifer (1959), van der Ziel (1970, 1976).
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