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We present a practical implementation of a Monte Carlo method to estimate the significance of cross-correlations in unevenly sampled time series of data, whose statistical properties are modeled with a simple power-law power spectral…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 W. Max-Moerbeck , J. L. Richards , T. Hovatta , V. Pavlidou , T. J. Pearson , A. C. S. Readhead

We propose a framework combining detrended fluctuation analysis with standard regression methodology. The method is built on detrended variances and covariances and it is designed to estimate regression parameters at different scales and…

Statistical Finance · Quantitative Finance 2018-10-30 Ladislav Kristoufek

When the row and column variables consist of the same category in a two-way contingency table, it is specifically called a square contingency table. Since it is clear that the square contingency tables have an association structure, a…

Methodology · Statistics 2024-10-02 Wataru Urasaki , Tomoyuki Nakagawa , Jun Tsuchida , Kouji Tahata

Existing coordinated cyber-attack detection methods have low detection accuracy and efficiency and poor generalization ability due to difficulties dealing with unbalanced attack data samples, high data dimensionality, and noisy data sets.…

Signal Processing · Electrical Eng. & Systems 2021-08-03 Lei Wang , Pengcheng Xu , Zhaoyang Qu , Xiaoyong Bo , Yunchang Dong , Zhenming Zhang , Yang Li

Stress time series from the PLC effect typically exhibit stick-slips of upload and download type. These data contain strong short-term correlations of a nonlinear type. We investigate whether there are also long term correlations, i.e. the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Dimitris Kugiumtzis , Elias C. Aifantis

Canonical correlation analysis (CCA) is a technique for finding correlated sets of features between two datasets. In this paper, we propose a novel extension of CCA to the online, streaming data setting: Sliding Window Informative Canonical…

Machine Learning · Statistics 2026-05-12 Arvind Prasadan

Traditionally, computation of Lyapunov exponents has been the marque method for identifying chaos in a time series. Recently, new methods have emerged for systems with both known and unknown models to produce a definitive 0--1 diagnostic.…

Chaotic Dynamics · Physics 2020-03-03 Joshua R. Tempelman , Firas A. Khasawneh

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

We examine several recently suggested methods for the detection of long-range correlations in data series based on similar ideas as the well-established Detrended Fluctuation Analysis (DFA). In particular, we present a detailed comparison…

Statistical Finance · Quantitative Finance 2009-11-13 Amir Bashan , Ronny Bartsch , Jan W. Kantelhardt , Shlomo Havlin

Principal component analysis (PCA) is recognised as a quintessential data analysis technique when it comes to describing linear relationships between the features of a dataset. However, the well-known sensitivity of PCA to non-Gaussian…

Machine Learning · Statistics 2019-10-28 Jean P. Chereau , Bruno Scalzo Dees , Danilo P. Mandic

Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

Statistics Theory · Mathematics 2012-05-14 Peter M. Robinson

Thermal or finite-size scaling analyses of importance sampling Monte Carlo time series in the vicinity of phase transition points often combine different estimates for the same quantity, such as a critical exponent, with the intent to…

Statistical Mechanics · Physics 2009-04-08 Martin Weigel , Wolfhard Janke

We use detrended fluctuation analysis (DFA) to study the dynamics of blood pressure oscillations and its feedback control in rats by analyzing systolic pressure time series before and after a surgical procedure that interrupts its control…

Biological Physics · Physics 2015-05-14 C. E. C. Galhardo , T. J. P. Penna , M. Argollo de Menezes , P. P. S. Soares

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

Methodology · Statistics 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

Current and upcoming surveys will measure the cosmological parameters with an extremely high accuracy. The primary goal of these observations is to eliminate some of the currently viable cosmological models created to explain the late time…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Savvas Nesseris , Domenico Sapone

Testing for series correlation among error terms is a basic problem in linear regression model diagnostics. The famous Durbin-Watson test and Durbin's h-test rely on certain model assumptions about the response and regressor variables. The…

Statistics Theory · Mathematics 2019-01-18 Yanqing Yin

In survival studies, classical inferences for left-truncated data require quasi-independence, a property that the joint density of truncation time and failure time is factorizable into their marginal densities in the observable region. The…

Methodology · Statistics 2019-04-16 Young-Geun Choi , Wei-Yann Tsai , Myunghee Cho Paik

Inferring linear relationships lies at the heart of many empirical investigations. A measure of linear dependence should correctly evaluate the strength of the relationship as well as qualify whether it is meaningful for the population.…

Methodology · Statistics 2022-08-16 Kaustubh R. Patil , Simon B. Eickhoff , Robert Langner

The indirect effect of an exposure on an outcome through an intermediate variable can be identified by a product of two regression coefficients under certain causal and regression modeling assumptions. In this context, the null hypothesis…

Statistics Theory · Mathematics 2025-07-23 Caleb H. Miles , Antoine Chambaz

To answer the call of introducing more Bayesian techniques to organizational research (e.g., Kruschke, Aguinis, & Joo, 2012; Zyphur & Oswald, 2013), we propose a Bayesian approach for meta-analysis with power prior in this article. The…

Methodology · Statistics 2014-07-30 Zhiyong Zhang , Kaifeng Jiang , Haiyan Liu , In-Sue Oh
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