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On the theory of moving average graduation [PDF]

Scandinavian Actuarial Journal, 1979
Abstract In this paper a new criterion for judging the properties of moving averages is given, and moving averages which are optimal according to this criterion under general assumptions are derived. For the standard case where the observations are uncorrelated and have equal variance, our optimal moving averages generalize two well-known optimal ...
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On the convergence of Z-averaged perturbation theory

The Journal of Chemical Physics, 2008
Very high order open-shell Z-averaged perturbation theory (ZAPT) energies, equilibrium bond lengths, and harmonic vibrational frequencies have been computed for a suite of small molecules using a determinantal algorithm. The convergence of ZAPTn energies is compared to alternative Møller–Plesset (MP) perturbation theories built on restricted open-shell
Steven E. Wheeler, Wesley D. Allen, Henry F. Schaefer   +2 more
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Dollar Averaging in Theory and Practice

Financial Analysts Journal, 1960
(1960). Dollar Averaging in Theory and Practice. Financial Analysts Journal: Vol. 16, No. 5, pp. 51-53.
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On the Theory of Averaging

1976
The purpose of this paper is to present a number of recently obtained results in averaging, both in theory and in applications, and to show at the same time what kind of pitfalls there are in applying the theory to problems in dynamics.
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Four-dimensional Zero-Hopf Bifurcation of Quadratic Polynomial Differential System, via Averaging Theory of Third Order

Journal of dynamical and control systems, 2021
Djamila Djedid, Elmostafa Bendib, A. Makhlouf   +2 more
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Deterministic material-based averaging theory model of collagen gel micromechanics.

Journal of Biomechanical Engineering, 2007
Mechanics of collagen gels, like that of many tissues, is governed by events occurring on a length scale much smaller than the functional scale of the material.
Preethi L. Chandran, V. Barocas
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Average Hamiltonian Theory

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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Functional averages in the theory of superconductivity

Zeitschrift f�r Physik, 1967
The grand canonical partition function of a superconductor described byGorkov's model Hamiltonian is represented as a functional integral with Gaussian measure. The integrand can be regarded as the partition function of a free Fermi system which interacts with a fluctuating external source potential. Perturbation-theoretic techniques are applied to the
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Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications

, 2017
PREFACE AVERAGING OF LINEAR DIFFERENTIAL EQUATIONS Periodic and Almost Periodic Functions. Brief Introduction Bounded Solutions Lemmas on Regularity and Stability Parametric Resonance in Linear Systems Higher Approximations.
V. Burd
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$3$ - dimensional Hopf bifurcation via averaging theory of second order

, 2009
We study the Hopf bifurcation occurring in polynomial quadratic vector fields in $\R^3$. By applying the averaging theory of second order to these systems we show that at most $3$ limit cycles can bifurcate from a singular point having eigenvalues of ...
J. Llibre, A. Makhlouf, Sabrina Badi
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