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Bayesian Forecasting for a Logistic Mixture Double Autoregressive Model

delete2026-01-23
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PRE
AI
H
Han Li
Q
Qingqing Zhang
K
Kai Yang *
DOI:10.1002/for.70109delete
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摘要

摘要

En 中文
To capture the dynamic relationship between financial time series and covariates, we consider a logistic mixture double autoregressive model with explanatory variables. The model is composed of two double autoregressive models whose mixing ratio is time-varying and is driven by a logistic regression structure. By introducing a series of Bernoulli distributed latent variables, a complete data likelihood is obtained, which makes the Bayesian inference feasible. Based on this likelihood, a new Markov chain Monte Carlo algorithm is developed to address the parameter estimation problem. The heteroscedasticity test problem for the underlying process is also addressed by means of Bayes factor. The performances of the proposed methods are evaluated via simulations. Finally, the proposed model is applied to the Shanghai Stock Exchange Index data set.
Keyword:
Bayes factor
explanatory variables
financial time series
mixture double autoregressive model
VTMCMC algorithm

期刊

Journal of Forecasting 封面图
Journal of Forecasting
IF:
2.7
论文数:
2.3K
被引数:
3.0K

机构

C
changchun university
学者数:
281
论文数: 82
被引数: 0
C
changchun university of technology
学者数:
1.6K
论文数: 455
被引数: 0
引用论文

引用论文

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Introduction to Bayesian Statistics
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On Mixture Double Autoregressive Time Series Models
err2017-03-13
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PREAI
errGuodong Li; Qianqian Zhu; Zhao Liu; Wai Keung Li
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