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Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

We propose a dynamic factor model (DFM) where the latent factors are linked to observed variables with unknown and potentially nonlinear functions. The key novelty and source of flexibility of our approach is a nonparametric observation…

Econometrics · Economics 2025-09-08 Tony Chernis , Niko Hauzenberger , Haroon Mumtaz , Michael Pfarrhofer

This paper models stochastic process of price time series of CSI 300 index in Chinese financial market, analyzes volatility characteristics of intraday high-frequency price data. In the new generalized Barndorff-Nielsen and Shephard model,…

Statistical Finance · Quantitative Finance 2023-01-19 Xianfei Hui , Baiqing Sun , Indranil SenGupta , Yan Zhou , Hui Jiang

Economists are blessed with a wealth of data for analysis, but more often than not, values in some entries of the data matrix are missing. Various methods have been proposed to handle missing observations in a few variables. We exploit the…

Econometrics · Economics 2022-02-02 Ercument Cahan , Jushan Bai , Serena Ng

The intricate dynamics of stock markets have led to extensive research on models that are able to effectively explain their inherent complexities. This study leverages the econometrics literature to explore the dynamic factor model as an…

Statistical Finance · Quantitative Finance 2026-01-09 Brian Godwin Lim , Dominic Dayta , Benedict Ryan Tiu , Renzo Roel Tan , Len Patrick Dominic Garces , Kazushi Ikeda

Jump stochastic volatility models are central to financial econometrics for volatility forecasting, portfolio risk management, and derivatives pricing. Markov Chain Monte Carlo (MCMC) algorithms are computationally unfeasible for the…

Applications · Statistics 2016-11-01 Eric Jacquier , Nicholas Polson , Vadim Sokolov

Prediction models calibrated using historical data may forecast poorly if the dynamics of the present and future differ from observations in the past. For this reason, predictions can be improved if information like forward looking views…

Optimization and Control · Mathematics 2025-09-16 Anas Abdelhakmi , Andrew E. B. Lim

In the stochastic volatility models for multivariate daily stock returns, it has been found that the estimates of parameters become unstable as the dimension of returns increases. To solve this problem, we focus on the factor structure of…

Econometrics · Economics 2021-09-16 Yuta Yamauchi , Yasuhiro Omori

Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

In dealing with high-dimensional data, factor models are often used for reducing dimensions and extracting relevant information. The spectrum of covariance matrices from power data exhibits two aspects: 1) bulk, which arises from random…

Applications · Statistics 2019-10-22 Xin Shi , Robert Qiu

We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

Applications · Statistics 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

This paper introduces a novel process for both factor and idiosyncratic volatility matrices whose eigenvalues follow the vector auto-regressive (VAR) model. We call it the factor and idiosyncratic VAR (FIVAR) model. The FIVAR model accounts…

Methodology · Statistics 2025-09-25 Minseok Shin , Donggyu Kim , Yazhen Wang , Jianqing Fan

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

Methodology · Statistics 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

Methodology · Statistics 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

Methodology · Statistics 2021-03-09 Xiaodong Wang , Fushing Hsieh

A new partial functional linear regression model for panel data with time varying parameters is introduced. The parameter vector of the multivariate model component is allowed to be completely time varying while the function-valued…

Methodology · Statistics 2018-07-18 Dominik Liebl , Fabian Walders

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to…

Statistical Finance · Quantitative Finance 2021-11-15 Bruno P. C. Levy , Hedibert F. Lopes

This paper discusses the efficient Bayesian estimation of a multivariate factor stochastic volatility (Factor MSV) model with leverage. We propose a novel approach to construct the sampling schemes that converges to the posterior…

Methodology · Statistics 2017-06-14 David Gunawan , Chris Carter , Robert Kohn

We propose a new financial model, the stochastic volatility model with sticky drawdown and drawup processes (SVSDU model), which enables us to capture the features of winning and losing streaks that are common across financial markets but…

Mathematical Finance · Quantitative Finance 2025-03-20 Yuhao Liu , Pingping Jiang , Gongqiu Zhang

In this paper we perform robustness and sensitivity analysis of several continuous-time stochastic volatility (SV) models with respect to the process of market calibration. The analyses should validate the hypothesis on importance of the…

Pricing of Securities · Quantitative Finance 2019-12-17 Jan Pospíšil , Tomáš Sobotka , Philipp Ziegler