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The use of empirical characteristic functions for inference problems, including estimation in some special parametric settings and testing for goodness of fit, has a long history dating back to the 70s (see for example, Feuerverger and…

Statistics Theory · Mathematics 2016-06-20 Richard A. Davis , Muneya Matsui , Thomas Mikosch , Phyllis Wan

This paper considers a time-varying vector error-correction model that allows for different time series behaviours (e.g., unit-root and locally stationary processes) to interact with each other to co-exist. From practical perspectives, this…

Econometrics · Economics 2023-05-30 Jiti Gao , Bin Peng , Yayi Yan

Causal inference from observational data is an ambitious but highly relevant task, with diverse applications ranging from natural to social sciences. Within the scope of nonparametric time series, causal inference defined through…

Methodology · Statistics 2016-12-22 Shu Li , Jan Ernest , Peter Bühlmann

In modern data analysis, information is frequently collected from multiple sources, often leading to challenges such as data heterogeneity and imbalanced sample sizes across datasets. Robust and efficient data integration methods are…

Methodology · Statistics 2026-01-06 Facheng Yu , Zhen Qi , Yuqian Zhang

We develop a stochastic algorithm for independent component analysis that incorporates multi-trial supervision, which is available in many scientific contexts. The method blends a proximal gradient-type algorithm in the space of invertible…

Machine Learning · Computer Science 2025-08-29 Ronak Mehta , Mateus Piovezan Otto , Noah Stanis , Azadeh Yazdan-Shahmorad , Zaid Harchaoui

Quantifying relationships between components of a complex system is critical to understanding the rich network of interactions that characterize the behavior of the system. Traditional methods for detecting pairwise dependence of time…

Data Analysis, Statistics and Probability · Physics 2024-04-10 Aria Nguyen , Oscar McMullin , Joseph T. Lizier , Ben D. Fulcher

Recent years have seen the development of many novel scoring tools for disease prognosis and prediction. To become accepted for use in clinical applications, these tools have to be validated on external data. In practice, validation is…

Methodology · Statistics 2022-12-06 Matthias Schmid , Tim Friede , Nadja Klein , Leonie Weinhold

This article investigates the causality structure of financial time series. We concentrate on three main approaches to measuring causality: linear Granger causality, kernel generalisations of Granger causality (based on ridge regression and…

Computational Finance · Quantitative Finance 2014-06-17 Anna Zaremba , Tomaso Aste

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

We formulate nonparametric and semiparametric hypothesis testing of multivariate stationary linear time series in a unified fashion and propose new test statistics based on estimators of the spectral density matrix. The limiting…

Statistics Theory · Mathematics 2009-09-03 Yoshihiro Yajima , Yasumasa Matsuda

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

Information Theory · Computer Science 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

To analyze multivariate time series, most previous methods assume regular subsampling of time series, where the interval between adjacent measurements and the number of samples remain unchanged. Practically, data collection systems could…

Machine Learning · Computer Science 2023-10-18 Yuxi Wei , Juntong Peng , Tong He , Chenxin Xu , Jian Zhang , Shirui Pan , Siheng Chen

Multivariate time series is a very active topic in the research community and many machine learning tasks are being used in order to extract information from this type of data. However, in real-world problems data has missing values, which…

Machine Learning · Computer Science 2019-03-26 Samuel Arcadinho , Paulo Mateus

Today's software quality assurance techniques are often applied in isolation. Consequently, synergies resulting from systematically integrating different quality assurance activities are often not exploited. Such combinations promise…

Software Engineering · Computer Science 2013-11-26 Frank Elberzhager , Alla Rosbach , Jürgen Münch , Robert Eschbach

This paper proposes a novel method (GLS Granger test) to determine causal relationships between time series based on the estimation of the autocovariance matrix and generalized least squares. We show the effectiveness of proposed…

Methodology · Statistics 2023-01-10 Hugo J. Bello

We employ the Bayesian framework to define a cointegration measure aimed to represent long term relationships between time series. For visualization of these relationships we introduce a dissimilarity matrix and a map based on the Sorting…

Physics and Society · Physics 2009-11-13 Renato Vicente , Carlos de B. Pereira , Vitor B. P. Leite , Nestor Caticha

It has been known since Elliott (1998) that standard methods of inference on cointegrating relationships break down entirely when autoregressive roots are near but not exactly equal to unity. We consider this problem within the framework of…

Econometrics · Economics 2023-04-12 James A. Duffy , Jerome R. Simons

To perform statistical inference for time series, one should be able to assess if they present deterministic or stochastic trends. For univariate analysis one way to detect stochastic trends is to test if the series has unit roots, and for…

Statistics Theory · Mathematics 2020-09-15 Marcio Alves Diniz , Carlos Alberto de Braganca Pereira , Julio Michael Stern

Estimation of the covariance matrix of asset returns is crucial to portfolio construction. As suggested by economic theories, the correlation structure among assets differs between emerging markets and developed countries. It is therefore…

Methodology · Statistics 2021-09-28 Xin Chen , Dan Yang , Yan Xu , Yin Xia , Dong Wang , Haipeng Shen