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In extracting time series data from various sources, it is inevitable to compile variables measured at varying frequencies as this is often dependent on the source. Modeling from these data can be facilitated by aggregating high frequency…

Methodology · Statistics 2025-03-05 Jetrei Benedick R. Benito , Joseph Ryan G. Lansangan , Erniel B. Barrios

We propose a computationally intensive method, the random lasso method, for variable selection in linear models. The method consists of two major steps. In step 1, the lasso method is applied to many bootstrap samples, each using a set of…

Applications · Statistics 2011-04-19 Sijian Wang , Bin Nan , Saharon Rosset , Ji Zhu

There has been an intense development on the estimation of a sparse regression coefficient vector in statistics, machine learning and related fields. In this paper, we focus on the Bayesian approach to this problem, where sparsity is…

Computation · Statistics 2016-02-25 Xichen Huang , Jin Wang , Feng Liang

We study a variance reduction strategy based on control variables for simulating the averaged macroscopic behavior of a stochastic slow-fast system. We assume that this averaged behavior can be written in terms of a few slow degrees of…

Numerical Analysis · Mathematics 2016-09-16 Ward Melis , Giovanni Samaey

We consider the estimation of the transition matrix in the high-dimensional time-varying vector autoregression (TV-VAR) models. Our model builds on a general class of locally stationary VAR processes that evolve smoothly in time. We propose…

Statistics Theory · Mathematics 2017-10-03 Xin Ding , Ziyi Qiu , Xiaohui Chen

This paper develops a matrix-variate adaptive Markov chain Monte Carlo (MCMC) methodology for Bayesian Cointegrated Vector Auto Regressions (CVAR). We replace the popular approach to sampling Bayesian CVAR models, involving griddy Gibbs,…

Computational Finance · Quantitative Finance 2010-04-23 Gareth W. Peters , Balakrishnan Kannan , Ben Lasscock , Chris Mellen

Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

Computational Engineering, Finance, and Science · Computer Science 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

The R package stochvol provides a fully Bayesian implementation of heteroskedasticity modeling within the framework of stochastic volatility. It utilizes Markov chain Monte Carlo (MCMC) samplers to conduct inference by obtaining draws from…

Computation · Statistics 2019-07-01 Gregor Kastner

We propose a two stage procedure for the estimation of the parameters of a fairly general, continuous-time stochastic volatility. An important ingredient of the proposed method is the Cuchiero-Teichmann volatility estimator, which is based…

Statistics Theory · Mathematics 2018-12-31 Milan Merkle , Yuri F. Saporito , Rodrigo S. Targino

A mixture of experts models the conditional density of a response variable using a mixture of regression models with covariate-dependent mixture weights. We extend the finite mixture of experts model by allowing the parameters in both the…

Computation · Statistics 2022-10-14 Parfait Munezero , Mattias Villani , Robert Kohn

We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in the presence of potentially high-dimensional categorical covariates. Building on a novel hidden Markov tensor decomposition technique, our proposed…

Methodology · Statistics 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

Instrumental variable methods are often used for parameter estimation in the presence of confounding. They can also be applied in stochastic processes. Instrumental variable analysis exploits moment equations to obtain estimators for causal…

Statistics Theory · Mathematics 2023-02-22 Søren Wengel Mogensen

We show that the mixed causal-noncausal Vector Autoregressive (VAR) processes satisfy the Markov property in both calendar and reverse time. Based on that property, we introduce closed-form formulas of forward and backward predictive…

Econometrics · Economics 2025-07-18 Christian Gourieroux , Joann Jasiak

A new multivariate stochastic volatility estimation procedure for financial time series is proposed. A Wishart autoregressive process is considered for the volatility precision covariance matrix, for the estimation of which a two step…

Computational Finance · Quantitative Finance 2013-11-05 K. Triantafyllopoulos

Linear mixed models are a versatile statistical tool to study data by accounting for fixed effects and random effects from multiple sources of variability. In many situations, a large number of candidate fixed effects is available and it is…

Methodology · Statistics 2022-09-09 Emanuele Degani , Luca Maestrini , Dorota Toczydłowska , Matt P. Wand

Most of previous works and applications of Bayesian factor model have assumed the normal likelihood regardless of its validity. We propose a Bayesian factor model for heavy-tailed high-dimensional data based on multivariate Student-$t$…

Methodology · Statistics 2020-12-10 Jaejoon Lee , Jaeyong Lee

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

Methodology · Statistics 2020-02-19 Kelly C. M. Gonçalves , Afonso C. B. Silva

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

Conditional heteroscedastic (CH) models are routinely used to analyze financial datasets. The classical models such as ARCH-GARCH with time-invariant coefficients are often inadequate to describe frequent changes over time due to market…

Statistics Theory · Mathematics 2021-03-09 Sayar Karmakar , Arkaprava Roy

This article focuses on covariance estimation for multi-view data. Popular approaches rely on factor-analytic decompositions that have shared and view-specific latent factors. Posterior computation is conducted via expensive and brittle…

Methodology · Statistics 2026-04-20 Lorenzo Mauri , David B. Dunson