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In this paper we review an approach to estimating the causal effect of a time-varying treatment on time to some event of interest. This approach is designed for the situation where the treatment may have been repeatedly adapted to patient…

Statistics Theory · Mathematics 2007-06-13 J. J. Lok , R. D. Gill , A. W. van der Vaart , J. M. Robins

Modeling of the dependence structure across heterogeneous data is crucial for Bayesian inference since it directly impacts the borrowing of information. Despite the extensive advances over the last two decades, most available proposals…

Methodology · Statistics 2026-02-03 Filippo Ascolani , Beatrice Franzolini , Antonio Lijoi , Igor Prünster

Trading styles can be classified into either trend-following or mean-reverting. If the net trading style is trend-following the traded asset is more likely to move in the same direction it moved previously (the opposite is true if the net…

General Finance · Quantitative Finance 2021-09-20 Lawrence Middleton , James Dodd , Simone Rijavec

This study outlines a comprehensive methodology utilizing copulas to discern inconsistencies in the behavior exhibited by pairs of financial assets. It introduces a robust approach to establishing the interrelationship between the returns…

Computational Finance · Quantitative Finance 2023-12-05 Alexander Shulzhenko

This paper discusses a design-dependent nature of variance in nonparametric link regression aiming at predicting a mean outcome at a link, i.e., a pair of nodes, based on currently observed data comprising covariates at nodes and outcomes…

Statistics Theory · Mathematics 2022-10-14 Akifumi Okuno , Keisuke Yano

We present a bivariate vector valued discrete autoregressive model of order $1$ (BDAR($1$)) for discrete time series. The BDAR($1$) model assumes that each time series follows its own univariate DAR($1$) model with dependent random…

Methodology · Statistics 2025-10-08 Anna Nalpantidi , Dimitris Karlis

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

Methodology · Statistics 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the…

Methodology · Statistics 2018-04-25 Javier Espinosa , Christian Hennig

It is generally accepted that many time series of practical interest exhibit strong dependence, i.e., long memory. For such series, the sample autocorrelations decay slowly and log-log periodogram plots indicate a straight-line…

Statistics Theory · Mathematics 2008-12-02 Rohit Deo , Meng-Chen Hsieh , Clifford M. Hurvich , Philippe Soulier

In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional odds model. We also investigate comparisons between system…

Statistics Theory · Mathematics 2020-07-28 Pradip Kundu , Nil Kamal Hazra , Asok K. Nanda

For the challenging task of modeling multivariate time series, we propose a new class of models that use dependent Mat\'ern processes to capture the underlying structure of data, explain their interdependencies, and predict their unknown…

Machine Learning · Statistics 2015-02-13 Alexander Vandenberg-Rodes , Babak Shahbaba

We report the first experimental realization of pattern formation in a spatially extended nonlinear system when the system is alternated between two states, neither of which exhibits patterning. Dynamical equations modeling the system are…

Pattern Formation and Solitons · Physics 2009-11-11 J. P. Sharpe , P. L. Ramazza , N. Sungar , Karl Saunders

We propose an extension to time series with several simultaneously measured variables of the nonlinearity test, which combines the redundancy -- linear redundancy approach with the surrogate data technique. For several variables various…

comp-gas · Physics 2009-10-28 Milan Paluš

Identifying how dependence relationships vary across different conditions plays a significant role in many scientific investigations. For example, it is important for the comparison of biological systems to see if relationships between…

Methodology · Statistics 2023-07-31 Hoseung Song , Michael C. Wu

The detection of very similar patterns in a time series, commonly called motifs, has received continuous and increasing attention from diverse scientific communities. In particular, recent approaches for discovering similar motifs of…

Machine Learning · Computer Science 2016-05-18 Joan Serrà , Isabel Serra , Álvaro Corral , Josep Lluis Arcos

This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

Artificial Intelligence · Computer Science 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

Consider the sequential testing of binary outcomes. The a posteriori belief process and its objective conditional-probability counterpart generally differ but converge to the same result in well-defined tests. We show that unless the two…

Statistics Theory · Mathematics 2026-02-20 Kangda K. Wren

In this paper we discuss dynamic ARMA-type regression models for time series taking values in $(0,\infty)$. In the proposed model, the conditional mean is modeled by a dynamic structure containing autoregressive and moving average terms,…

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

Statistics Theory · Mathematics 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

We present a general approach for studying autoregressive categorical time series models with dependence of infinite order and defined conditional on an exogenous covariate process. To this end, we adapt a coupling approach, developed in…

Statistics Theory · Mathematics 2019-08-01 Lionel Truquet