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This paper investigates the role of high-dimensional information sets in the context of Markov switching models with time varying transition probabilities. Markov switching models are commonly employed in empirical macroeconomic research…

Econometrics · Economics 2019-05-07 Gregor Zens , Maximilian Böck

We propose a data-driven method to learn the time-dependent probability density of a multivariate stochastic process from sample paths, assuming that the initial probability density is known and can be evaluated. Our method uses a novel…

Machine Learning · Statistics 2025-06-19 Agnimitra Dasgupta , Javier Murgoitio-Esandi , Ali Fardisi , Assad A Oberai

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

Statistics Theory · Mathematics 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

This paper presents a new prediction model for time series data by integrating a time-varying Geometric Brownian Motion model with a pricing mechanism used in financial engineering. Typical time series models such as Auto-Regressive…

Applications · Statistics 2020-01-01 Abdullah AlShelahi , Jingxing Wang , Mingdi You , Eunshin Byon , Romesh Saigal

Time-varying parameters (TVPs) models are frequently used in economics to capture structural change. I highlight a rather underutilized fact -- that these are actually ridge regressions. Instantly, this makes computations, tuning, and…

Econometrics · Economics 2024-11-18 Philippe Goulet Coulombe

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

Machine Learning · Statistics 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

This paper proposes a parsimoniously time varying parameter vector autoregressive model (with exogenous variables, VARX) and studies the properties of the Lasso and adaptive Lasso as estimators of this model. The parameters of the model are…

Statistics Theory · Mathematics 2014-11-21 Laurent Callot , Johannes Tang Kristensen

Network models have been popular for modeling and representing complex relationships and dependencies between observed variables. When data comes from a dynamic stochastic process, a single static network model cannot adequately capture…

Machine Learning · Statistics 2013-04-03 Mladen Kolar , Eric P. Xing

Mendelian randomization is an instrumental variable method that utilizes genetic information to investigate the causal effect of a modifiable exposure on an outcome. In most cases, the exposure changes over time. Understanding the…

Methodology · Statistics 2024-03-11 Haodong Tian , Ashish Patel , Stephen Burgess

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

We propose a random adaptation variant of time-varying distributed averaging dynamics in discrete time. We show that this leads to novel interpretations of fundamental concepts in distributed averaging, opinion dynamics, and distributed…

Optimization and Control · Mathematics 2022-06-28 Rohit Parasnis , Ashwin Verma , Massimo Franceschetti , Behrouz Touri

Although there are many methods for functional data analysis (FDA), little emphasis is put on characterizing variability among volatilities of individual functions. In particular, certain individuals exhibit erratic swings in their…

Applications · Statistics 2012-12-04 Bin Zhu , David B. Dunson

This paper develops a new model and estimation procedure for panel data that allows us to identify heterogeneous structural breaks. We model individual heterogeneity using a grouped pattern. For each group, we allow common structural breaks…

Econometrics · Economics 2018-11-27 Ryo Okui , Wendun Wang

This paper presents two case studies of data sets where the main inferential goal is to characterize time-varying patterns in model structure. Both of these examples are seen to be general cases of the so-called "partition problem," where…

Applications · Statistics 2011-11-03 Zesong Liu , Jesse Windle , James G. Scott

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

Time-varying parameter VARs with stochastic volatility are routinely used for structural analysis and forecasting in settings involving a few endogenous variables. Applying these models to high-dimensional datasets has proved to be…

Econometrics · Economics 2022-06-20 Joshua C. C. Chan

Structural discovery amongst a set of variables is of interest in both static and dynamic settings. In the presence of lead-lag dependencies in the data, the dynamics of the system can be represented through a structural equation model…

Methodology · Statistics 2023-11-28 Jiahe Lin , Huitian Lei , George Michailidis

This paper focuses on time-varying delayed stochastic differential systems with stochastically switching parameters formulated by a unified switching behavior combining a discrete adapted process and a Cox process. Unlike prior studies…

Dynamical Systems · Mathematics 2024-01-30 Xinyu Wu , Zidong Wang , Wenlian Lu

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

We develop a new VAR model for structural analysis with mixed-frequency data. The MIDAS-SVAR model allows to identify structural dynamic links exploiting the information contained in variables sampled at different frequencies. It also…

Econometrics · Economics 2018-02-05 Emanuele Bacchiocchi , Andrea Bastianin , Alessandro Missale , Eduardo Rossi