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Prediction Theory for Autoregressive-Moving Average Processes
Econometric Reviews, 1988This paper reviews statistical prediction theory for autoregressive-moving average processes wing techniques developed in control theory. It demonstrates explicitly the connectioluns between the statistical and control theory literatures. Both the forecasting problem and the Single extraction problem am considered, udng linear least squares methods ...
Peter Burridge, Kenneth F. Wallis
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Ergodic Theory and Averaging Iterations
Canadian Journal of Mathematics, 1973Suppose X is a Banach space and T a continuous linear operator on X. The significance of the asymptotic convergence of T for the approximate solution of the equation (I - T)x = f by means of the Picard iterations was clearly shown in Browder's and Petryshyn's paper [1], The results of [1] have stimulated further investigation of the Picard, and more ...
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1985
This chapter will be concerned with the theory of averaging for equations in the standard form $$\dot x = \in f\left( {t,x} \right) + { \in ^2}R\left( {t,xm \in } \right)$$
Jan A. Sanders, Ferdinand Verhulst
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This chapter will be concerned with the theory of averaging for equations in the standard form $$\dot x = \in f\left( {t,x} \right) + { \in ^2}R\left( {t,xm \in } \right)$$
Jan A. Sanders, Ferdinand Verhulst
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Gravitation as an averaged theory
International Journal of Theoretical Physics, 1984A result due to Eisenhart is used to justify an averaging process of a theory of gravity. More results of the theory are also deduced, similar to those derived by Einstein for the Nordstrom theory.
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AVERAGE CASE COMPLEXITY THEORY
Missouri Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2007
The sections in this article are 1 Introduction 2 Magnus Expansion 3 Representations and Frames of Reference: Truncation 4 Applications 5 Additional Topics 6 Biographical ...
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The sections in this article are 1 Introduction 2 Magnus Expansion 3 Representations and Frames of Reference: Truncation 4 Applications 5 Additional Topics 6 Biographical ...
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Theory of Time-Averaged-Product Arrays
The Journal of the Acoustical Society of America, 1957The mathematical analysis of the directional characteristics of linear additive arrays is given in a polynomial representation. The result of multiplying and taking a time average of the outputs of several detectors also has directional characteristics that may be expressed as polynomials.
A. Berman, C. S. Clay
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Averaging theory for functional differential equations
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002Previous work by the authors (1997, 1998) has established new averaged models for time-dependent functional differential equations (FDE). In this paper,we present new theorems extending the existing theory to infinite time intervals and a more general class of FDE. Improvements over the classical theory are illustrated in simulations.
B. Lehman, S.P. Weibel
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Kolmogorov theory via finite-time averages
Physica D: Nonlinear Phenomena, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Foias, C. +4 more
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Fermion-field theory and configuration averaging
Journal of Physics C: Solid State Physics, 1975The configuration-averaging theory of Mookerjee (see abst. A38777, a43969 of 1973) using a disorder field is put here in an equivalent picture of an electron interacting with a fermion field. This provides a more physical background to the mathematically abstruse formalism and also provides a justification to the CPA and cluster cpas proposed by Bishop
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