基于MCMC抽样算法的贝叶斯金融面板数据模型

Ou Ji, Liu Yang
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引用次数: 0

摘要

面板数据建模的理论与应用是计量经济学研究的一个重要领域,但现有的面板数据理论假设与经济变量的数据生成行为和参数分布不断变化的实际情况不一致;在实际应用中,渐近理论也与面板数据的特点不一致,难以保证模型参数估计器的优良性能。本文是关于金融数据贝叶斯模型的发展。该模型基于MCMC采样算法,使用两种先验:均值和方差的先验分布和参数的先验分布。我们还提出了一种有效的方法来估计MCMC样本的后验分布。该模型可用于股票市场分析和投资组合管理等多种应用。例如,它可以用来分析股票或投资组合的日收益,并利用历史数据预测未来的收益。它也可以用来研究影响投资业绩的因素或风险与收益之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bayesian Financial Panel Data Model based on MCMC Sampling Algorithm
The theory and application of panel data modeling is an important field of econometric research, but the existing theoretical assumptions of panel data are inconsistent with the actual situation that the data generation behavior and parameter distribution of economic variables are constantly changing; The asymptotic theory is also inconsistent with the characteristics of panel data in practical applications, and it is difficult to guarantee the excellent properties of model parameter estimators. This paper is about the development of Bayesian model of financial data. The model is based on MCMC sampling algorithm and uses two kinds of priori: a priori distribution of mean and variance and a priori distribution of parameters. We also propose an efficient method to estimate the posterior distribution from MCMC samples. The proposed model can be used in many applications, such as stock market analysis and portfolio management. For example, it can be used to analyze the daily returns of stocks or portfolios and predict future returns by using historical data. It can also be used to study the factors that affect investment performance or the relationship between risk and return.
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