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  • 标题:Parameter Estimation for the Continuous Time Stochastic Logistic Diffusion Model
  • 本地全文:下载
  • 作者:Zhiwei Zheng ; Huisheng Shu ; Xiu Kan
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2017
  • 卷号:07
  • 期号:06
  • 页码:1039-1052
  • DOI:10.4236/ojs.2017.76072
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, the parameter estimation problem is investigated for the continuous time stochastic logistic diffusion system. A new continuous process is built based on the likelihood ratio scheme, the Radon-Nikodym derivative and the explicit expressions of the error of estimation are given under this new continuous process. By using the random time transformations, law of large numbers for martingales, law of iterated logarithm and stationary distribution of solution, the consistency property are proved for the estimation error. Finally, a numerical simulation is presented to demonstrate the effectiveness of the proposed method in this paper.
  • 关键词:Parameter Estimation;Stationary Distribution;Likelihood Ratio;Random Time Transformations
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