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We propose a new and easy-to-use method for identifying cointegrated components of nonstationary time series, consisting of an eigenanalysis for a certain non-negative definite matrix. Our setting is model-free, and we allow the…

Methodology · Statistics 2018-03-13 Rongmao Zhang , Peter Robinson , Qiwei Yao

Cointegration analysis is used to estimate the long-run equilibrium relations between several time series. The coefficients of these long-run equilibrium relations are the cointegrating vectors. In this paper, we provide a sparse estimator…

Methodology · Statistics 2015-01-07 Ines Wilms , Christophe Croux

Cointegration is an important topic for time-series, and describes a relationship between two series in which a linear combination is stationary. Classically, the test for cointegration is based on a two stage process in which first the…

Computational Engineering, Finance, and Science · Computer Science 2012-07-03 Chris Bracegirdle , David Barber

Cointegration is an important concept in the analysis of non-stationary time-series, giving conditions under which a collection of non-stationary processes has an underlying stationary (cointegration) relationship. In this paper we present…

Methodology · Statistics 2013-11-05 Thomas Furmston , Stephen Hailes , A. Jennifer Morton

This paper deals with two-sample tests for functional time series data, which have become widely available in conjunction with the advent of modern complex observation systems. Here, particular interest is in evaluating whether two sets of…

Statistics Theory · Mathematics 2019-09-16 Alexander Aue , Holger Dette , Gregory Rice

The paper analyses cointegration in vector autoregressive processes (VARs) for the cases when both the number of coordinates, $N$, and the number of time periods, $T$, are large and of the same order. We propose a way to examine a VAR of…

Econometrics · Economics 2021-12-23 Anna Bykhovskaya , Vadim Gorin

This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a…

Methodology · Statistics 2013-06-21 David S. Matteson , Ruey S. Tsay

We propose a novel cointegrated autoregressive model for matrix-valued time series, with bi-linear cointegrating vectors corresponding to the rows and columns of the matrix data. Compared to the traditional cointegration analysis, our…

Methodology · Statistics 2024-09-18 Zebang Li , Han Xiao

We propose a distributed quadratic inference function framework to jointly estimate regression parameters from multiple potentially heterogeneous data sources with correlated vector outcomes. The primary goal of this joint integrative…

Methodology · Statistics 2022-07-28 Emily C. Hector , Peter X. -K. Song

This article develops nonparametric cointegrating regression models with endogeneity and semi-long memory. We assume that semi-long memory is produced in the regressor process by tempering of random shock coefficients. The fundamental…

Econometrics · Economics 2025-01-31 Sepideh Mosaferi , Mark S. Kaiser

The estimation of covariance operators of spatio-temporal data is in many applications only computationally feasible under simplifying assumptions, such as separability of the covariance into strictly temporal and spatial factors.Powerful…

Statistics Theory · Mathematics 2020-03-30 Holger Dette , Gauthier Dierickx , Tim Kutta

In this paper, we consider the nonstationary matrix-valued time series with common stochastic trends. Unlike the traditional factor analysis which flattens matrix observations into vectors, we adopt a matrix factor model in order to fully…

Econometrics · Economics 2025-08-25 Degui Li , Yayi Yan , Qiwei Yao

Conjoint analysis is a popular experimental design used to measure multidimensional preferences. Researchers examine how varying a factor of interest, while controlling for other relevant factors, influences decision-making. Currently,…

Methodology · Statistics 2024-11-20 Dae Woong Ham , Kosuke Imai , Lucas Janson

We define generalized innovations associated with generalized error models having arbitrary distributions, that is, distributions that can be mixtures of continuous and discrete distributions. These models include stochastic volatility…

Methodology · Statistics 2026-05-15 Kilani Ghoudi , Bouchra R. Nasri , Bruno N. Remillard

This paper proposes a Matrix Error Correction Model to identify cointegration relations in matrix-valued time series. We hereby allow separate cointegrating relations along the rows and columns of the matrix-valued time series and use…

Econometrics · Economics 2025-01-27 Alain Hecq , Ivan Ricardo , Ines Wilms

The paper studies nonstationary high-dimensional vector autoregressions of order $k$, VAR($k$). Additional deterministic terms such as trend or seasonality are allowed. The number of time periods, $T$, and the number of coordinates, $N$,…

Econometrics · Economics 2023-11-29 Anna Bykhovskaya , Vadim Gorin

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

Identifying relationships among stochastic processes is a core objective in many fields, such as economics. While the standard toolkit for multivariate time series analysis has many advantages, it can be difficult to capture nonlinear…

Methodology · Statistics 2026-05-06 Michael Wieck-Sosa , Michel F. C. Haddad , Aaditya Ramdas

This paper studies test-time aggregation, an approach that generates multiple reasoning traces and aggregates them into a final answer. Most existing methods rely on evaluation signals collected from candidate traces in isolation or answer…

Artificial Intelligence · Computer Science 2026-05-08 Yunzhen Yao , Hongye Wang , Yahong Wang , Michael C. Gastpar , Bo Jiang , Lie He

A two-component model for the evolution of real GDP per capita in the USA is presented and tested. The first component of the GDP growth rate represents an economic trend and is inversely proportional to the attained level of real GDP per…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov , Oleg I. Kitov , Svetlana A. Dolinskaya
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