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Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

统计方法学 · 统计学 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

统计方法学 · 统计学 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

This paper develops a methodology for approximating the posterior first two moments of the posterior distribution in Bayesian inference. Partially specified probability models, which are defined only by specifying means and variances, are…

统计方法学 · 统计学 2009-01-27 K. Triantafyllopoulos , P. J. Harrison

In the present work, we consider variable selection and shrinkage for the Gaussian dynamic linear regression within a Bayesian framework. In particular, we propose a novel method that allows for time-varying sparsity, based on an extension…

统计方法学 · 统计学 2020-09-30 Paloma W. Uribe , Hedibert F. Lopes

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

统计方法学 · 统计学 2025-10-22 Peiyi Zhou

Volatility, as a measure of uncertainty, plays a crucial role in numerous financial activities such as risk management. The Econometrics and Machine Learning communities have developed two distinct approaches for financial volatility…

统计金融 · 定量金融 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

Forecast combination methods have traditionally emphasized symmetric loss functions, particularly squared error loss, with equally weighted combinations often justified as a robust approach under such criteria. However, these justifications…

统计方法学 · 统计学 2025-04-08 Henry D. van Eijk , Sujit K. Ghosh

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

This paper introduces a new model for panel data with Markov-switching GARCH effects. The model incorporates a series-specific hidden Markov chain process that drives the GARCH parameters. To cope with the high-dimensionality of the…

统计方法学 · 统计学 2020-12-21 Roberto Casarin , Mauro Costantini , Anthony Osuntuyi

This paper provides a probabilistic and statistical comparison of the log-GARCH and EGARCH models, which both rely on multiplicative volatility dynamics without positivity constraints. We compare the main probabilistic properties (strict…

统计理论 · 数学 2013-04-11 Christian Francq , Olivier Wintenberger , Jean-Michel Zakoïan

This paper offers a new method for estimation and forecasting of the volatility of financial time series when the stationarity assumption is violated. Our general local parametric approach particularly applies to general varying-coefficient…

统计方法学 · 统计学 2009-03-27 P. Čížek , W. Härdle , V. Spokoiny

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

机器学习 · 计算机科学 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

This paper presents a new approach to a robust Gaussian process (GP) regression. Most existing approaches replace an outlier-prone Gaussian likelihood with a non-Gaussian likelihood induced from a heavy tail distribution, such as the…

机器学习 · 计算机科学 2020-01-15 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter , Fritz J. Friedersdorf

The realized GARCH framework is extended to incorporate the two-sided Weibull distribution, for the purpose of volatility and tail risk forecasting in a financial time series. Further, the realized range, as a competitor for realized…

风险管理 · 定量金融 2017-07-13 Chao Wang , Qian Chen , Richard Gerlach

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

统计金融 · 定量金融 2015-05-08 Gordon J. Ross

We present a discrete time stochastic volatility model in which the conditional distribution of the logreturns is a Variance-Gamma, that is a normal variance-mean mixture with Gamma mixing density. We assume that the Gamma mixing density is…

证券定价 · 定量金融 2014-05-29 Lorenzo Mercuri , Fabio Bellini

We introduce a new mixture autoregressive model which combines Gaussian and Student's $t$ mixture components. The model has very attractive properties analogous to the Gaussian and Student's $t$ mixture autoregressive models, but it is more…

计量经济学 · 经济学 2026-02-10 Savi Virolainen

In logistic regression, separation occurs when a linear combination of the predictors can perfectly classify part or all of the observations in the sample, and as a result, finite maximum likelihood estimates of the regression coefficients…

统计方法学 · 统计学 2017-02-10 Joyee Ghosh , Yingbo Li , Robin Mitra

With the progress of information technology, large amounts of asymmetric, leptokurtic and heavy-tailed data are arising in various fields, such as finance, engineering, genetics and medicine. It is very challenging to model those kinds of…

统计方法学 · 统计学 2024-01-26 Chengdi Lian , Yaohua Rong , Weihu Cheng

Many modern experiments, such as microarray gene expression and genome-wide association studies, present the problem of estimating a large number of parallel effects. Bayesian inference is a popular approach for analyzing such data by…

统计方法学 · 统计学 2018-10-26 J G Liao , Arthur Berg , Timothy L McMurry