Results 121 to 130 of about 15,808 (165)

Wavelet representations of stochastic processes and multiresolution stochastic models

IEEE Transactions on Signal Processing, 1994
Deterministic signal analysis in a multiresolution framework through the use of wavelets has been extensively studied very successfully in recent years. In the context of stochastic processes, the use of wavelet bases has not yet been fully investigated.
Robert W. Dijkerman, Ravi R. Mazumdar
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Stochastic Signal Representation

IEEE Transactions on Circuit Theory, 1969
The representation of signals in the time domain requires the decomposition of functions of time into linear combinations of a finite number of basis functions. The purpose of this paper is to introduce a stochastic approximation algorithm, which, given an ensemble of signals \{f(t)\} , selects from a set S that subset S_{m} of m basis functions that ...
G. Coraluppi, null Tzay Young
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MARKOV REPRESENTATIONS OF STOCHASTIC SYSTEMS

Russian Mathematical Surveys, 1975
A great deal of research into the theory of random processes is concerned with the problem of constructing a process that has certain properties of regularity of the trajectories and has the same finite-dimensional probability distribution as a given stochastic process .
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Stochastic Harmonic Function Representation of Stochastic Processes

Journal of Applied Mechanics, 2012
An approach to represent a stochastic process by the combination of finite stochastic harmonic functions is proposed. The conditions that should be satisfied to make sure that the power spectral density function of the stochastic harmonic function process is identical to the target power spectral density are firstly studied.
Jianbing Chen, Weiling Sun, Jie Li, Jun Xu   +3 more
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Representation of Stochastic Processes

1991
Similarly to the case of the deterministic finite element method, whereby functions are represented by a denumerable set of parameters consisting of the values of the function and its derivatives at the nodal points, the problem encountered in the stochastic case is that of representing a random process by a denumerable set of random variables, thereby
Roger G. Ghanem, Pol D. Spanos
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Synthesis of Stochastic Representations of Ground Motions

Bell System Technical Journal, 1970
In this paper, we study a number of stochastic models including stationary, nonstationary, and linear processes for the purpose of simulating earthquake- or explosion-induced ground motions. The important statistical characteristics of each model and their effects on structural systems are investigated in some detail. We obtain expressions for the mean-
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Stochastic Processes and Their Representations in Hilbert Space

Journal of Mathematical Physics, 1971
Beginning with an intuitive consideration of sequences of measurements, we define a time-ordered event space representing the collection of all imaginable outcomes for measurement sequences. We then postulate the generalized distributive relation on the event space and examine the class of measurements for which this relation can be experimentally ...
Hall, F. G., Collins, R. E.
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Representations of stochastic processes

Systems & Control Letters, 1995
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Representation of a Stochastic Process

2017
Chapter 2 describes various methods used for the simulation of a stochastic process such as point discretization methods as well as the most popular Karhunen-Loeve and spectral representation series expansion methods. Methods for the simulation of non-Gaussian fields are then presented followed by solved numerical examples.
Vissarion Papadopoulos, Dimitris G. Giovanis   +1 more
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On the Evolution of Learning: Representation of a Stochastic Environment

Theoretical Population Biology, 1995
Learning is frequently proposed as a mechanism that enables an individual to adapt to changes in its environment. These studies generally take as their point of departure the ``absolute fixity argument.'' That is, in an absolutely fixed environment, a genetically fixed pattern of behavior should evolve (assuming some cost is associated with learning ...
Bergman, Aviv, Feldman, Marcus W.
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