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We argue against the use of generally weighted moving average (GWMA) control charts. Our primary reasons are the following: 1) There is no recursive formula for the GWMA control chart statistic, so all previous data must be stored and used…

Methodology · Statistics 2021-12-07 Sven Knoth , William H. Woodall , Víctor G. Tercero-Gómez

The detrending moving average (DMA) algorithm is a widely used technique to quantify the long-term correlations of non-stationary time series and the long-range correlations of fractal surfaces, which contains a parameter $\theta$…

Statistical Finance · Quantitative Finance 2010-08-03 Gao-Feng Gu , Wei-Xing Zhou

Generalized linear mixed models are powerful tools for analyzing clustered data, where the unknown parameters are classically (and most commonly) estimated by the maximum likelihood and restricted maximum likelihood procedures. However,…

Statistics Theory · Mathematics 2023-03-23 Andrea M. Bratsberg , Magne Thoresen , Abhik Ghosh

This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate…

General Mathematics · Mathematics 2023-10-24 Branko Malesevic , Milos Micovic

We present a plug-in replacement for batch normalization (BN) called exponential moving average normalization (EMAN), which improves the performance of existing student-teacher based self- and semi-supervised learning techniques. Unlike the…

Machine Learning · Computer Science 2021-06-21 Zhaowei Cai , Avinash Ravichandran , Subhransu Maji , Charless Fowlkes , Zhuowen Tu , Stefano Soatto

The performance of deep learning models is critically dependent on sophisticated optimization strategies. While existing optimizers have shown promising results, many rely on first-order Exponential Moving Average (EMA) techniques, which…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Roi Peleg , Yair Smadar , Teddy Lazebnik , Assaf Hoogi

In the paper, we introduce a new measure of correlation between possibly non-stationary series. As the measure is based on the detrending moving-average cross-correlation analysis (DMCA), we label it as the DMCA coefficient…

Statistical Finance · Quantitative Finance 2014-03-27 Ladislav Kristoufek

We discuss the relevance of the recent Machine Learning (ML) literature for economics and econometrics. First we discuss the differences in goals, methods and settings between the ML literature and the traditional econometrics and…

Econometrics · Economics 2019-03-26 Susan Athey , Guido Imbens

A few characteristic exponents describing power law behaviors of roughness, coherence and persistence in stochastic time series are compared to each other. Relevant techniques for analyzing such time series are recalled in order to…

Statistical Mechanics · Physics 2007-05-23 M. Ausloos

This article is a survey of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of Analysis. Some new properties are included and several Analysis-related applications are mentioned.

Classical Analysis and ODEs · Mathematics 2016-10-10 Khristo N. Boyadzhiev

In the canonical framework, we propose an alternative approach for the multifractal analysis based on the detrending moving average method (MF-DMA). We define a canonical measure such that the multifractal mass exponent $\tau(q)$ is related…

Statistical Finance · Quantitative Finance 2019-02-13 Hai-Chuan Xu , Gao-Feng Gu , Wei-Xing Zhou

The method of model averaging has become an important tool to deal with model uncertainty, for example in situations where a large amount of different theories exist, as are common in economics. Model averaging is a natural and formal…

Applications · Statistics 2019-02-05 Mark F. J. Steel

We address the problem of defining early warning indicators of critical transition. To this purpose, we fit the relevant time series through a class of linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We define two…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Davide Faranda , Flavio Maria Emanuele Pons , Bérengère Dubrulle

We propose a new indicator for technical analysis. The indicator emphasizes maximums and minimums in price series with inherent smoothing and has a potential to be useful in both mechanical trading rules and chart pattern analysis.

Statistical Finance · Quantitative Finance 2011-02-24 Z. K. Silagadze

The purpose of this research is to apply technical analysis of Sutte Indicator in stock trading which will assist in the investment decision making process i.e. buying or selling shares. This research takes data of "A" on the Indonesia…

Statistical Finance · Quantitative Finance 2019-03-29 Ansari Saleh Ahmar

Detrended fluctuation analysis (DFA) and detrended moving average (DMA) are two scaling analysis methods designed to quantify correlations in noisy non-stationary signals. We systematically study the performance of different variants of the…

Other Condensed Matter · Physics 2009-11-10 L. Xu , P. Ch. Ivanov , K. Hu , Z. Chen , A. Carbone , H. E. Stanley

The coefficient of variation is a useful indicator for comparing the spread of values between dataset with different units or widely different means. In this paper we address the problem of investigating the equality of the coefficients of…

Methodology · Statistics 2023-06-06 Francesco Bertolino , Silvia Columbu , Mara Manca , Monica Musio

Human motion diffusion models can synthesize action sequences from text, but controlling motion intensity remains challenging. Existing approaches rely on effort-related adverbs, which are ambiguous and fail to capture quantitative aspects…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Joshua Siy , Huakun Liu , Yutaro Hirao , Monica Perusquia-Hernandez , Hideaki Uchiyama , Kiyoshi Kiyokawa

Most statistical process control programmes in healthcare focus on surveillance of outcomes at the final stage of a procedure, such as mortality or failure rates. Such an approach ignores the multi-stage nature of these procedures, in which…

Methodology · Statistics 2020-06-29 Doaa Ayad , Nokuthaba Sibanda

Due to the processes that occur during the functioning of modern electromechanical systems, these systems can be considered complex nonlinear dynamic systems from the point of view of the theory of dynamic systems. The movement of such…

Optimization and Control · Mathematics 2024-12-10 Roman Voliansky