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扩散方程参数的MCMC估计

  • 吴振翔 ,
  • 缪柏其
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  • 中国科学技术大学统计与金融系, 合肥 230026

收稿日期: 2003-07-11

  修回日期: 2003-10-08

  网络出版日期: 2004-05-10

基金资助

国家自然科学基金 (10071082);教育部博士点基金;中国科学院和中国科学技术大学创新基金资助

Estimating the Parameters of Diffusion Equation by MCMC

  • WU ZhenXiang ,
  • MIAO BaiQi
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  • University of Science and Technology of China, Hefei 230026, China

Received date: 2003-07-11

  Revised date: 2003-10-08

  Online published: 2004-05-10

摘要

用MCMC方法来估计上证指数收益率扩散方程中的有关参数,同时采用MonteCarlo方法给出下一交易日收益率的分布,并用实际数据检验了其有效性。最后,对上证指数收益率做了相关的风险分析。

关键词: MCMC; 扩散方程; 风险分析

本文引用格式

吴振翔 , 缪柏其 . 扩散方程参数的MCMC估计[J]. 中国科学院大学学报, 2004 , 21(3) : 310 -314 . DOI: 10.7523/j.issn.2095-6134.2004.3.004

Abstract

Parameters of the diffusion about yield rate of Shanghai Index are obtained by using the MCMC method. Then, the distribution of future yield of next day is given by Monte Carlo, and the validity of the distribution is checked.At last, some risk analysis is made.

参考文献

[1] Gilks, et al.Markov chain monte carlo in practice.Chapman &Hall, 1996

[2] Roberts G O.Markov chain concepts related to sampling algorithms.Chapman &Hall, 1995

[3] Karatzas I, Shreve S E.Brownian motion and stochastic.Calculus, 2nd edition.New York:Springer, 1991

[4] Kessler M.Estimation of an ergodic diffusion from discrete observations.Scandinavian Journal of Statistics, 1997, 24:211-229

[5] Duffie D, Glyn, P.Estimation of multifactor continuous time interest rate model.working paper, Federal Reserve Board of Governors, 1996

[6] A It-Sahalia Y.Nonparametric pricing of interest rate derivative securities.Econometrica,1996, 64:527-560

[7] Garland B Durham, A Ronald Gallant.Numerical techniques formaximum likehood estimation of continuous-time diffusion.Journal of Business & Economic Statistics, 2002,20:297-316

[8] 吴振翔, 缪柏其, 肖敬红.用蒙特卡罗方法计算股价转移概率密度的一点应用.中国科学技术大学学报, 2003(已接收)

[9] Jones C.A bayesian method for the analysis of diffusion and jump-diffusion processes.working paper, University of Pennsylvania, Wharton School of Business, 1998

[10] Eraker, B.MCMC analysis of diffusion models with application to finance.Journal of Business &Economic Statistics, 2001,19:177-191

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