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Variable selection in the linear regression model takes many apparent faces from both frequentist and Bayesian standpoints. In this paper we introduce a variable selection method referred to as a rescaled spike and slab model. We study the…

统计理论 · 数学 2007-06-13 Hemant Ishwaran , J. Sunil Rao

Hawkes processes are often applied to model dependence and interaction phenomena in multivariate event data sets, such as neuronal spike trains, social interactions, and financial transactions. In the nonparametric setting, learning the…

统计理论 · 数学 2023-09-04 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

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…

统计方法学 · 统计学 2017-06-14 David Gunawan , Chris Carter , Robert Kohn

Stochastic volatility (SV) models mimic many of the stylized facts attributed to time series of asset returns, while maintaining conceptual simplicity. The commonly made assumption of conditionally normally distributed or…

统计方法学 · 统计学 2014-06-19 Roland Langrock , Théo Michelot , Alexander Sohn , Thomas Kneib

The main goal of this paper is an application of Bayesian model comparison, based on the posterior probabilities and posterior odds ratios, in testing the explanatory power of the set of competing GARCH (ang. Generalised Autoregressive…

数据分析、统计与概率 · 物理学 2008-10-06 Mateusz Pipien

The importance of interpretability of machine learning models has been increasing due to emerging enterprise predictive analytics, threat of data privacy, accountability of artificial intelligence in society, and so on. Piecewise linear…

人工智能 · 计算机科学 2017-11-08 Masato Asahara , Ryohei Fujimaki

We address the curse of dimensionality in dynamic covariance estimation by modeling the underlying co-volatility dynamics of a time series vector through latent time-varying stochastic factors. The use of a global-local shrinkage prior for…

统计方法学 · 统计学 2019-08-07 Gregor Kastner

There has been increased research interest in the subfield of sparse Bayesian factor analysis with shrinkage priors, which achieve additional sparsity beyond the natural parsimonity of factor models. In this spirit, we estimate the number…

统计方法学 · 统计学 2023-01-18 Sylvia Frühwirth-Schnatter , Darjus Hosszejni , Hedibert Freitas Lopes

This paper studies high-dimensional curve time series with common stochastic trends. A dual functional factor model structure is adopted with a high-dimensional factor model for the observed curve time series and a low-dimensional factor…

计量经济学 · 经济学 2025-09-16 Degui Li , Yu-Ning Li , Peter C. B. Phillips

Since its introduction, the skew-$t$ distribution has received much attention in the literature both for the study of theoretical properties and as a model for data fitting in empirical work. A major motivation for this interest is the high…

统计计算 · 统计学 2019-07-25 Adelchi Azzalini , Mahdi Salehi

This paper presents a novel approach to stochastic volatility (SV) modeling by utilizing nonparametric techniques that enhance our ability to capture the volatility of financial time series data, with a particular emphasis on the…

统计计算 · 统计学 2025-02-18 Yudong Feng , Ashis Gangopadhyay

It is known that the implied volatility skew of FX options demonstrates a stochastic behavior which is called stochastic skew. In this paper we create stochastic skew by assuming the spot/instantaneous variance correlation to be stochastic.…

计算金融 · 定量金融 2017-01-20 Andrey Itkin

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…

应用统计 · 统计学 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

This article develops a model that takes into account skewness risk in risk parity portfolios. In this framework, asset returns are viewed as stochastic processes with jumps or random variables generated by a Gaussian mixture distribution.…

投资组合管理 · 定量金融 2022-02-23 Benjamin Bruder , Nazar Kostyuchyk , Thierry Roncalli

Since Markowitz's mean-variance framework, optimizing a portfolio that maximizes the profit and minimizes the risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the…

信号处理 · 电气工程与系统科学 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

Stochastic variational Bayes algorithms have become very popular in the machine learning literature, particularly in the context of nonparametric Bayesian inference. These algorithms replace the true but intractable posterior distribution…

统计方法学 · 统计学 2024-10-04 Pedro Regueiro , Abel Rodríguez , Juan Sosa

Successful forecasting models strike a balance between parsimony and flexibility. This is often achieved by employing suitable shrinkage priors that penalize model complexity but also reward model fit. In this note, we modify the stochastic…

计量经济学 · 经济学 2020-05-15 Florian Huber , Michael Pfarrhofer

The multivariate extended skew-normal distribution allows for accommodating raw data which are skewed and heavy tailed, and has at least three appealing statistical properties, namely closure under conditioning, affine transformations, and…

统计方法学 · 统计学 2015-06-19 Mathieu Gerber , Florian Pelgrin

Class distribution skews in imbalanced datasets may lead to models with prediction bias towards majority classes, making fair assessment of classifiers a challenging task. Metrics such as Balanced Accuracy are commonly used to evaluate a…