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Multiple correlation is a fundamental concept with broad applications. The classical multiple correlation coefficient is developed to assess how strongly a dependent variable is associated with a linear combination of independent variables.…

Methodology · Statistics 2025-04-23 Kai Yang , Yuhong Zhou , Wei Xu , Kirsten Beyer

We discuss Bayesian forecasting of increasingly high-dimensional time series, a key area of application of stochastic dynamic models in the financial industry and allied areas of business. Novel state-space models characterizing sparse…

Methodology · Statistics 2022-06-07 Zoey Yi Zhao , Meng Xie , Mike West

We establish a connection between dependence structures and subclasses of distortion riskmetrics under which the latter are additive. A new notion of positive dependence, called partial comonotonicity, is developed, which nests the existing…

Risk Management · Quantitative Finance 2026-03-16 Muqiao Huang

The variance--covariance matrix plays a central role in the inferential theories of high-dimensional factor models in finance and economics. Popular regularization methods of directly exploiting sparsity are not directly applicable to many…

Methodology · Statistics 2012-03-15 Jianqing Fan , Yuan Liao , Martina Mincheva

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

Machine Learning · Statistics 2014-02-21 Keisuke Yamazaki

We study a new measure of codependency in the second moment of a continuous-time multivariate asset price process, which we name the realized copula of volatility. The statistic is based on local volatility estimates constructed from…

Econometrics · Economics 2026-04-22 Kim Christensen , Wenjing Liu , Zhi Liu , Yoann Potiron

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

This paper develops a two-step estimation methodology, which allows us to apply catastrophe theory to stock market returns with time-varying volatility and model stock market crashes. Utilizing high frequency data, we estimate the daily…

Statistical Finance · Quantitative Finance 2013-05-23 Jozef Barunik , Jiri Kukacka

An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

In this article, we introduce a system of stochastic differential equations (SDEs) consisting of time-dependent covariates and consider both fixed and random effects set-ups. We also allow the functional part associated with the drift…

Statistics Theory · Mathematics 2017-10-16 Trisha Maitra , Sourabh Bhattacharya

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

Adaptation and Self-Organizing Systems · Physics 2020-09-11 Zachary C Williams , Dylan E McNamara

Many economic environments involve units linked by a network. I develop an econometric framework that derives the dynamics of cross-sectional variables from the lagged innovation transmission along bilateral links and that can accommodate…

Econometrics · Economics 2026-01-23 Marko Mlikota

We propose a novel bootstrap test of a dense model, namely factor regression, against a sparse plus dense alternative augmenting model with sparse idiosyncratic components. The asymptotic properties of the test are established under time…

Econometrics · Economics 2024-07-11 Jad Beyhum , Jonas Striaukas

Using intraday data for the cross-section of individual stocks, we show that both transitory and persistent fluctuations in realized market and average idiosyncratic volatility, skewness and kurtosis are differentially priced in the…

General Finance · Quantitative Finance 2024-03-05 Jozef Barunik , Josef Kurka

We consider continuous-time models with a large panel of moment conditions, where the structural parameter depends on a set of characteristics, whose effects are of interest. The leading example is the linear factor model in financial…

Econometrics · Economics 2018-12-04 Yuan Liao , Xiye Yang

We suggest a dependence coefficient between a categorical variable and some general variable taking values in a metric space. We derive important theoretical properties and study the large sample behaviour of our suggested estimator.…

Statistics Theory · Mathematics 2025-10-03 Siegfried Hörmann , Daniel Strenger-Galvis

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic volatility and unknown stock appreciation rate. The volatility parameter is driven by an external economic factor modeled as a…

Portfolio Management · Quantitative Finance 2015-05-15 Belkacem Berdjane , Sergei Pergamenshchikov

Using the framework of factor models, we establish the general expression of the coefficient of tail dependence between the market and a stock (i.e., the probability that the stock incurs a large loss, assuming that the market has also…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

We present a new simple method of estimating stochastic volatility and its volatility. This method is applicable to both cross-sectional and time-series data. Moreover, this method does not require volatility data series.

General Finance · Quantitative Finance 2012-12-04 Moawia Alghalith

Fixed effect estimators of nonlinear panel data models suffer from the incidental parameter problem. This leads to two undesirable consequences in applied research: (1) point estimates are subject to large biases, and (2) confidence…

Econometrics · Economics 2022-04-18 Shuowen Chen
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