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Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

Methodology · Statistics 2024-09-24 Matthieu Bulté , Helle Sørensen

We propose a new Bayesian Markov switching regression model for multidimensional arrays (tensors) of binary time series. We assume a zero-inflated logit regression with time-varying parameters and apply it to multilayer temporal networks.…

Methodology · Statistics 2019-07-05 Monica Billio , Roberto Casarin , Matteo Iacopini

Hierarchical data with multiple observations per group is ubiquitous in empirical sciences and is often analyzed using mixed-effects regression. In such models, Bayesian inference gives an estimate of uncertainty but is analytically…

Machine Learning · Computer Science 2026-02-05 Alex Kipnis , Marcel Binz , Eric Schulz

Nonstationary time series data exist in various scientific disciplines, including environmental science, biology, signal processing, econometrics, among others. Many Bayesian models have been developed to handle nonstationary time series.…

Methodology · Statistics 2022-06-27 Yuelei Sui , Scott H. Holan , Wen-Hsi Yang

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

Methodology · Statistics 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

We consider the Bayesian analysis of models in which the unknown distribution of the outcomes is specified up to a set of conditional moment restrictions. The nonparametric exponentially tilted empirical likelihood function is constructed…

Statistics Theory · Mathematics 2021-10-27 Siddhartha Chib , Minchul Shin , Anna Simoni

This paper introduces a new approach for Multivariate Time Series forecasting that jointly infers and leverages relations among time series. Its modularity allows it to be integrated with current univariate methods. Our approach allows to…

Machine Learning · Computer Science 2022-03-08 Victor Garcia Satorras , Syama Sundar Rangapuram , Tim Januschowski

We consider parameter estimation, hypothesis testing and variable selection for partially time-varying coefficient models. Our asymptotic theory has the useful feature that it can allow dependent, nonstationary error and covariate…

Statistics Theory · Mathematics 2012-08-20 Ting Zhang , Wei Biao Wu

A novel first-order autoregressive moving average model for analyzing discrete-time series observed at irregularly spaced times is introduced. Under Gaussianity, it is established that the model is strictly stationary and ergodic. In the…

Methodology · Statistics 2022-03-31 Cesar Ojeda , Wilfredo Palma , Susana Eyheramendy , Felipe Elorrieta

Standard simultaneous autoregressive (SAR) models typically assume normally distributed errors, an assumption often violated in real-world datasets that frequently exhibit non-normal, skewed, or heavy-tailed characteristics. New SAR models…

Methodology · Statistics 2025-12-16 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

We develop a Bayesian spatio-temporal framework for extreme-value analysis that augments a hierarchical copula model with an autoregressive factor to capture residual temporal dependence in threshold exceedances. The factor can be specified…

Methodology · Statistics 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

The class of autoregressive (AR) processes is extensively used to model temporal dependence in observed time series. Such models are easily available and routinely fitted using freely available statistical software like R. A potential…

Methodology · Statistics 2020-10-13 Sigrunn H. Sørbye , Pedro G. Nicolau , Håvard Rue

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

Methodology · Statistics 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

We discuss efficient Bayesian estimation of dynamic covariance matrices in multivariate time series through a factor stochastic volatility model. In particular, we propose two interweaving strategies (Yu and Meng, Journal of Computational…

Computation · Statistics 2019-08-07 Gregor Kastner , Sylvia Frühwirth-Schnatter , Hedibert Freitas Lopes

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

Advances in sensing technology have made it possible to collect large volumes of high-dimensional time-series data. In fields like genetics and neuroscience, key questions concern whether directed relationships between variables can be…

Methodology · Statistics 2026-05-08 Sarah E. Heaps , Ian H. Jermyn , Yujiang Wang , Darren J. Wilkinson

Vector autoregression model is ubiquitous in classical time series data analysis. With the rapid advance of social network sites, time series data over latent graph is becoming increasingly popular. In this paper, we develop a novel…

Methodology · Statistics 2021-10-12 Yimeng Ren , Xuening Zhu , Guanyu Hu

The analysis of non-real-valued data, such as binary time series, has attracted great interest in recent years. This manuscript proposes a post-selection estimator for estimating the coefficient matrices of a high-dimensional generalized…

Methodology · Statistics 2025-12-03 Dehao Dai , Yunyi Zhang

We develop a variational Bayesian (VB) approach for estimating large-scale dynamic network models in the network autoregression framework. The VB approach allows for the automatic identification of the dynamic structure of such a model and…

Methodology · Statistics 2021-02-19 Wei-Ting Lai , Ray-Bing Chen , Ying Chen , Thorsten Koch
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