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Monte Carlo (MC) simulations are widely used in financial risk management, from estimating value-at-risk (VaR) to pricing over-the-counter derivatives. However, they come at a significant computational cost due to the number of scenarios…

Quantum Physics · Physics 2024-04-10 Titos Matsakos , Stuart Nield

The R package BigVAR allows for the simultaneous estimation of high-dimensional time series by applying structured penalties to the conventional vector autoregression (VAR) and vector autoregression with exogenous variables (VARX)…

Computation · Statistics 2017-02-24 William Nicholson , David Matteson , Jacob Bien

Randomness in financial markets requires modern and robust multivariate models of risk measures. This paper proposes a new approach for modeling multivariate risk measures under Wasserstein barycenters of probability measures supported on…

Applications · Statistics 2020-08-14 M. Andrea Arias-Serna , Jean-Michel Loubes , Francisco J. Caro-Lopera

The main aim of this paper is to review recent advances in the multivariate autoregressive index model [MAI], originally proposed by Reinsel (1983), and their applications to economic and financial time series. MAI has recently gained…

Econometrics · Economics 2025-09-03 Gianluca Cubadda

This paper studies macroeconomic forecasting and variable selection using a folded-concave penalized regression with a very large number of predictors. The penalized regression approach leads to sparse estimates of the regression…

Applications · Statistics 2017-03-07 Yoshimasa Uematsu , Shinya Tanaka

Quantile regression is an increasingly important empirical tool in economics and other sciences for analyzing the impact of a set of regressors on the conditional distribution of an outcome. Extremal quantile regression, or quantile…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val

A structural Gaussian mixture vector autoregressive model is introduced. The shocks are identified by combining simultaneous diagonalization of the reduced form error covariance matrices with constraints on the time-varying impact matrix.…

Econometrics · Economics 2026-02-10 Savi Virolainen

To comply with increasingly stringent international standards in risk management and regulation, several approaches have been developed in the literature for forecasting tail-risk measures such as Value-at-Risk (VaR) and Expected Shortfall…

Risk Management · Quantitative Finance 2026-03-02 Alessandra Amendola , Vincenzo Candila , Antonio Naimoli , Giuseppe Storti

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

In this article, we present a novel approach to multivariate probabilistic forecasting. Our approach is based on an extension of single-output quantile regression (QR) to multivariate-targets, called quantile surfaces (QS). QS uses a simple…

Applications · Statistics 2020-10-13 Maarten Bieshaar , Jens Schreiber , Stephan Vogt , André Gensler , Bernhard Sick

Quantile regression (QR) is a statistical tool for distribution-free estimation of conditional quantiles of a target variable given explanatory features. QR is limited by the assumption that the target distribution is univariate and defined…

We develop quantile regression models in order to derive risk margin and to evaluate capital in non-life insurance applications. By utilizing the entire range of conditional quantile functions, especially higher quantile levels, we detail…

Risk Management · Quantitative Finance 2014-02-12 Alice X. D. Dong , Jennifer S. K. Chan , Gareth W. Peters

We analyse growth vulnerabilities in the US using quantile partial correlation regression, a selection-based machine-learning method that achieves model selection consistency under time series. We find that downside risk is primarily driven…

General Economics · Economics 2025-06-03 Tobias Adrian , Hongqi Chen , Max-Sebastian Dovì , Ji Hyung Lee

Spatial dependent data frequently occur in many fields such as spatial econometrics and epidemiology. To deal with the dependence of variables and estimate quantile-specific effects by covariates, spatial quantile autoregressive models…

Methodology · Statistics 2021-11-16 Ping Dong , Jiawei Hou , Yunquan Song

Discrete-time hazard models are widely used when event times are measured in intervals or are not precisely observed. While these models can be estimated using standard generalized linear model techniques, they rely on extensive data…

Methodology · Statistics 2025-07-14 Benjamin Müller , Nikolaus Umlauf , Johannes Seiler , Kenneth Harttgen , Stefan Lang

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

This paper introduces a new extension of the Conditional Autoregressive Value at Risk (CAViaR) model aimed at improving tail risk forecasting across assets. The proposed component-based model, CAViaR with Spillover Effects (CAViaR-SE),…

Risk Management · Quantitative Finance 2026-03-27 Demetrio Lacava

High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with stochastic recovery is considered. The…

Risk Management · Quantitative Finance 2009-09-28 Mikhail Voropaev

This paper shows that the degree of approximate multicollinearity in a linear regression model increases simply by including independent variables, even if these are not highly linearly related. In the current situation where it is…

Methodology · Statistics 2025-03-07 Román Salmerón Gómez , Catalina García García

Markov switching models are often used to analyze financial returns because of their ability to capture frequently observed stylized facts. In this paper we consider a multivariate Student-t version of the model as a viable alternative to…

Methodology · Statistics 2014-03-04 Mauro Bernardi , Antonello Maruotti , Lea Petrella
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