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and Asymptotic Method
"... Statistical procedures can be applied to episodes in the history of science in order to weight attributes to predict short-term survival of theories; an asymptotic method is used to show short term survival is a valid proxy for ultimate survival; and a theoretical argument is made that ultimate surv ..."
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Statistical procedures can be applied to episodes in the history of science in order to weight attributes to predict short-term survival of theories; an asymptotic method is used to show short term survival is a valid proxy for ultimate survival; and a theoretical argument is made that ultimate
SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
, 2006
"... This paper features a survey of some recent developments in asymptotic techniques, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the obtained approximate analytical solutions are valid for the whole solution domain. The limitations of traditional pertu ..."
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Cited by 185 (6 self)
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perturbation methods are illustrated, various modi ed perturbation techniques are proposed, and some mathematical tools such as variational theory, homotopy technology, and iteration technique are introduced to over-come the shortcomings. In this paper the following categories of asymptotic methods
Asymptotics Methods to Compute Electromagnetic
"... Abstract We provide a rigorous asymptotic method to com-pute the electromagnetic elds in domains with thin layer. With this method the inuency of the membrane on the inner eld is replaced by an approximated boundary condition, while in the thin layer, the approximated eld is explicitely known. We g ..."
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Abstract We provide a rigorous asymptotic method to com-pute the electromagnetic elds in domains with thin layer. With this method the inuency of the membrane on the inner eld is replaced by an approximated boundary condition, while in the thin layer, the approximated eld is explicitely known. We
Accurate Methods for the Statistics of Surprise and Coincidence
- COMPUTATIONAL LINGUISTICS
, 1993
"... Much work has been done on the statistical analysis of text. In some cases reported in the literature, inappropriate statistical methods have been used, and statistical significance of results have not been addressed. In particular, asymptotic normality assumptions have often been used unjustifiably ..."
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Cited by 1057 (1 self)
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Much work has been done on the statistical analysis of text. In some cases reported in the literature, inappropriate statistical methods have been used, and statistical significance of results have not been addressed. In particular, asymptotic normality assumptions have often been used
Weak asymptotics method
, 2001
"... We present a new method for constructing solutions to nonlinear evolutionary equations describing the propagation and interaction of nonlinear waves. In the present paper, with the help of some simple examples, I demonstrate a new approach to the construction of asymptotic solutions to differential ..."
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We present a new method for constructing solutions to nonlinear evolutionary equations describing the propagation and interaction of nonlinear waves. In the present paper, with the help of some simple examples, I demonstrate a new approach to the construction of asymptotic solutions to differential
Monte Carlo Simulation with Asymptotic Method,”
- The Journal of Japan Statistical Society,
, 2005
"... We shall propose a new computational scheme with the asymptotic method to achieve variance reduction of Monte Carlo simulation for numerical analysis particularly for finance. We not only provide general scheme of our method, but also show its effectiveness through numerical examples such as comput ..."
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Cited by 19 (16 self)
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We shall propose a new computational scheme with the asymptotic method to achieve variance reduction of Monte Carlo simulation for numerical analysis particularly for finance. We not only provide general scheme of our method, but also show its effectiveness through numerical examples
A review of image denoising algorithms, with a new one
- SIMUL
, 2005
"... The search for efficient image denoising methods is still a valid challenge at the crossing of functional analysis and statistics. In spite of the sophistication of the recently proposed methods, most algorithms have not yet attained a desirable level of applicability. All show an outstanding perf ..."
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Cited by 508 (6 self)
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is proven to be asymptotically optimal under a generic statistical image model. The denoising performance of all considered methods are compared in four ways; mathematical: asymptotic order of magnitude of the method noise under regularity assumptions; perceptual-mathematical: the algorithms artifacts
Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification
- Psychological Methods
, 1998
"... This study evaluated the sensitivity of maximum likelihood (ML)-, generalized least squares (GLS)-, and asymptotic distribution-free (ADF)-based fit indices to model misspecification, under conditions that varied sample size and distribution. The effect of violating assumptions of asymptotic robustn ..."
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Cited by 543 (0 self)
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This study evaluated the sensitivity of maximum likelihood (ML)-, generalized least squares (GLS)-, and asymptotic distribution-free (ADF)-based fit indices to model misspecification, under conditions that varied sample size and distribution. The effect of violating assumptions of asymptotic
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12,939