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Ornstein-Uhlenbeck过程的参数估计 被引量:5

The Parameter Estimation of Ornstein-Uhlenbeck Process
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摘要 本文研究了Ornstein-Uhlenbeck过程的参数估计问题,给出了具有非负性和相合性的估计量. This paper discusses the problem of parameter estimation of Ornstein-Uhlenbeck process. The estimators with nonnegativity and consistency are also given.
作者 肖庆宪
出处 《应用概率统计》 CSCD 北大核心 2005年第1期1-8,共8页 Chinese Journal of Applied Probability and Statistics
基金 全国统计科学研究计划项目(LX03-Y026)上海市教委社会科学基金项目(04EE41)
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参考文献4

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同被引文献39

  • 1陈萍.线性增长条件下扩散系数的非参数估计[J].南京大学学报(数学半年刊),2005,22(2):292-298. 被引量:2
  • 2区诗德,黄敢基,杨善朝.欧式期权价值评估的非参数估计[J].系统工程,2006,24(8):47-51. 被引量:4
  • 3Hu Y, φksendal B. Fractional White Noise Calculus and Applications to Finance[J].Infinite Dim. Anal. Quantum Probab. Related Topics,2003,(6).
  • 4Wei-guo Zhang, Wei-lin Xiao, Chun-xiong He. Pricing Equity Warrants under Fractional Brownian Motion Model and Empirical Study[J].Expert Systems with Applications,2009,36(2).
  • 5KiseIaak J, Stehlik M. Equidistant and D-optimal Designs for Parameters of Ornstein-Uhlenbeck Process[J].Statistics and Probability Letters,2008,78.
  • 6Prakasa Rao, B.L.S. Identification for Linear Stochastic Systems Driven by Fractional Brownian Motion[J].Stochastic Analysis and Applications,2004,22(6).
  • 7Tudor, C.A. Viens, F.Statistical Aspects of the Fractional Stochastic Calculus[J].The Annals of Statistics,2007,35(3).
  • 8Hu, Y., Nualart, D. Parameter Estimation for Fractional Ornstein- Uhlenbeck Proeesses[J].Statistics and Probability Letter,2009,(1).
  • 9Bertin, K., Torres, S. Tudor, C.A. Maximum Likelihood Estimators and Random Walks in Long Memory Models[J].Statistics and Probability Letter,2009,(11).
  • 10Kallianpur, G., Kallianpur, R.L. Introduction to Option Pricing Theory[M].Boston:Birkhauser, 1999.

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