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Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

Identifying and quantifying co-dependence between financial instruments is a key challenge for researchers and practitioners in the financial industry. Linear measures such as the Pearson correlation are still widely used today, although…

Statistical Finance · Quantitative Finance 2023-12-29 Haochun Ma , Davide Prosperino , Alexander Haluszczynski , Christoph Räth

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · Physics 2009-10-31 Thomas Schreiber , Andreas Schmitz

The time series theory is set in this work under the domain of general elliptically contoured distributions. The advent of a time series approach that is in accordance with the expected reality of dependence between errors, transfers the…

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

Physics and Society · Physics 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

We describe two families of statistical tests to detect partial correlation in vectorial timeseries. The tests measure whether an observed timeseries Y can be predicted from a second series X, even after accounting for a third series Z…

Methodology · Statistics 2024-04-25 Kenneth D. Harris , Alex E. Yuan

Financial time series exhibit two different type of non linear correlations: (i) volatility autocorrelations that have a very long range memory, on the order of years, and (ii) asymmetric return-volatility (or `leverage') correlations that…

Statistical Mechanics · Physics 2008-12-02 Josep Perello , Jaume Masoliver , Jean-Philippe Bouchaud

Given a log and a specification, timed pattern matching aims at exhibiting for which start and end dates a specification holds on that log. For example, "a given action is always followed by another action before a given deadline". This…

Systems and Control · Computer Science 2019-04-08 Étienne André , Ichiro Hasuo , Masaki Waga

Traditional economic models typically treat private information, or signals, as generated from some underlying state. Recent work has explicated alternative models, where signals correspond to interpretations of available information. We…

Computer Science and Game Theory · Computer Science 2012-02-20 Michael P. Wellman , Lu Hong , Scott E. Page

Ordinal regression refers to classifying object instances into ordinal categories. It has been widely studied in many scenarios, such as medical disease grading, movie rating, etc. Known methods focused only on learning inter-class ordinal…

Artificial Intelligence · Computer Science 2023-07-24 Jinhong Wang , Yi Cheng , Jintai Chen , Tingting Chen , Danny Chen , Jian Wu

Emotional disorders and psychological flourishing are the result of complex interactions between positive and negative affects that depend on external events and the subject's internal representations. Based on psychological data, we…

Applications · Statistics 2015-05-19 Jonathan Touboul , Alberto Romagnoni , Robert Schwartz

Control charts for process monitoring are widely used in practice. Most control charts require the monitored (residuals) process to be serially independent (and to satisfy specified distributional assumptions), whereas undetected dependence…

Methodology · Statistics 2026-05-27 Christian H. Weiß , José M. Amigó

Methods for sequential decision-making are often built upon a foundational assumption that the underlying decision process is stationary. This limits the application of such methods because real-world problems are often subject to changes…

Machine Learning · Computer Science 2023-01-26 Yash Chandak , Shiv Shankar , Nathaniel D. Bastian , Bruno Castro da Silva , Emma Brunskil , Philip S. Thomas

In this paper, we introduce quantile coherency to measure general dependence structures emerging in the joint distribution in the frequency domain and argue that this type of dependence is natural for economic time series but remains…

Statistics Theory · Mathematics 2018-12-31 Jozef Baruník , Tobias Kley

In time-series analysis, the term "lead-lag effect" is used to describe a delayed effect on a given time series caused by another time series. lead-lag effects are ubiquitous in practice and are specifically critical in formulating…

Statistical Finance · Quantitative Finance 2020-02-04 Katsuya Ito , Kei Nakagawa

Temporal data are increasingly prevalent in modern data science. A fundamental question is whether two time series are related or not. Existing approaches often have limitations, such as relying on parametric assumptions, detecting only…

Machine Learning · Statistics 2024-05-29 Cencheng Shen , Jaewon Chung , Ronak Mehta , Ting Xu , Joshua T. Vogelstein

We consider nonparametric estimation of mean regression and conditional variance (or volatility) functions in nonlinear stochastic regression models. Simultaneous confidence bands are constructed and the coverage probabilities are shown to…

Statistics Theory · Mathematics 2008-08-08 Zhibiao Zhao , Wei Biao Wu

The existence of time-lagged cross-correlations between the returns of a pair of assets, which is known as the lead-lag relationship, is a well-known stylized fact in financial econometrics. Recently some continuous-time models have been…

Mathematical Finance · Quantitative Finance 2017-12-29 Takaki Hayashi , Yuta Koike

Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged…

Data Analysis, Statistics and Probability · Physics 2013-09-11 Rémy Chicheportiche , Anirban Chakraborti

In this paper, we introduce the direct potential outcome system as a framework for analyzing dynamic causal effects of assignments on outcomes in observational time series settings. We provide conditions under which common predictive time…

Econometrics · Economics 2025-01-23 Ashesh Rambachan , Neil Shephard
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