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In this paper, we have studied option pricing methods that are based on a Bayesian Markov-Switching Vector Autoregressive (MS-BVAR) process using a risk-neutral valuation approach. A BVAR process, which is a special case of the Bayesian…

数理金融 · 定量金融 2024-09-24 Battulga Gankhuu

In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i) we provide approximations by finite…

统计计算 · 统计学 2012-09-04 Efthymios G. Tsionas

This paper proposes a fast two-stage variational Bayesian (VB) algorithm to estimate unrestricted panel spatial autoregressive models. Using Dirichlet-Laplace priors, we are able to uncover the spatial relationships between cross-sectional…

计量经济学 · 经济学 2023-08-23 Deborah Gefang , Stephen G. Hall , George S. Tavlas

We develop a Bayesian vector autoregressive (VAR) model with multivariate stochastic volatility that is capable of handling vast dimensional information sets. Three features are introduced to permit reliable estimation of the model. First,…

统计计算 · 统计学 2020-03-12 Gregor Kastner , Florian Huber

Given discrete time observations over a fixed time interval, we study a nonparametric Bayesian approach to estimation of the volatility coefficient of a stochastic differential equation. We postulate a histogram-type prior on the volatility…

统计方法学 · 统计学 2019-04-01 Shota Gugushvili , Frank van der Meulen , Moritz Schauer , Peter Spreij

In this article we consider Bayesian parameter inference for a type of partially observed stochastic Volterra equation (SVE). SVEs are found in many areas such as physics and mathematical finance. In the latter field they can be used to…

统计计算 · 统计学 2024-02-20 Ajay Jasra , Hamza Ruzayqat , Amin Wu

Variational Bayes (VB) methods have emerged as a fast and computationally-efficient alternative to Markov chain Monte Carlo (MCMC) methods for scalable Bayesian estimation of mixed multinomial logit (MMNL) models. It has been established…

机器学习 · 统计学 2019-12-13 Prateek Bansal , Rico Krueger , Michel Bierlaire , Ricardo A. Daziano , Taha H. Rashidi

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

应用统计 · 统计学 2012-02-03 Zuofeng Shang , Murray K. Clayton

This paper presents a study using the Bayesian approach in stochastic volatility models for modeling financial time series, using Hamiltonian Monte Carlo methods (HMC). We propose the use of other distributions for the errors in the…

应用统计 · 统计学 2017-12-07 David S. Dias , Ricardo S. Ehlers

Maximum likelihood estimation of large Markov-switching vector autoregressions (MS-VARs) can be challenging or infeasible due to parameter proliferation. To accommodate situations where dimensionality may be of comparable order to or…

计量经济学 · 经济学 2021-07-28 Kenwin Maung

The steady-state Bayesian vector autoregression (BVAR) makes it possible to incorporate prior information about the long-run mean of the process. This has been shown in many studies to substantially improve forecasting performance, and the…

统计计算 · 统计学 2025-06-12 Oskar Gustafsson , Mattias Villani

State space models (SSMs) are widely used to describe dynamic systems. However, when the likelihood of the observations is intractable, parameter inference for SSMs cannot be easily carried out using standard Markov chain Monte Carlo or…

统计方法学 · 统计学 2023-12-21 Zhaoran Hou , Samuel W. K. Wong

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

机器学习 · 统计学 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

Using a state-space system, I forecasted the US Treasury yields by employing frequentist and Bayesian methods after first decomposing the yields of varying maturities into its unobserved term structure factors. Then, I exploited the…

计量经济学 · 经济学 2021-08-17 Sudiksha Joshi

Regime detection is vital for the effective operation of trading and investment strategies. However, the most popular means of doing this, the two-state Markov-switching regression model (MSR), is not an optimal solution, as two volatility…

计算工程、金融与科学 · 计算机科学 2022-08-25 Piotr Pomorski , Denise Gorse

The spatial error model (SEM) is a type of simultaneous autoregressive (SAR) model for analysing spatially correlated data. Markov chain Monte Carlo (MCMC) is one of the most widely used Bayesian methods for estimating SEM, but it has…

统计方法学 · 统计学 2024-06-14 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Bayesian vector autoregressions (BVARs) are the workhorse in macroeconomic forecasting. Research in the last decade has established the importance of allowing time-varying volatility to capture both secular and cyclical variations in…

计量经济学 · 经济学 2023-10-24 Joshua Chan

With the availability of high frequency financial data, nonparametric estimation of volatility of an asset return process becomes feasible. A major problem is how to estimate the volatility consistently and efficiently, when the observed…

统计理论 · 数学 2007-06-13 Lan Zhang

The fundamental multidimensional line spectral estimation problem is addressed utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) algorithm, multidimensional VALSE (MDVALSE) is…

信息论 · 计算机科学 2020-07-15 Qi Zhang , Jiang Zhu , Ning Zhang , Zhiwei Xu

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