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  • 标题:Parameter Estimation for Discretely Observed Cox-Ingersoll-Ross Model with Small Levy Noises
  • 本地全文:下载
  • 作者:Chao Wei
  • 期刊名称:Engineering Letters
  • 印刷版ISSN:1816-093X
  • 电子版ISSN:1816-0948
  • 出版年度:2019
  • 卷号:27
  • 期号:3
  • 页码:631-638
  • 出版社:Newswood Ltd
  • 摘要:This paper is concerned with the parameter estimationproblem for Cox-Ingersoll-Ross model with small L´evynoises from discrete observations. The least squares methodis used to obtain the parameter estimators and the explicitformula of the estimation error is given. The consistency of theestimators are derived when a small dispersion coefficient " ! 0and n ! 1 simultaneously by using Cauchy-Schwarz inequality,Gronwall’s inequality, Markov inequality and dominatedconvergence. The asymptotic distribution of the estimation erroris studied. The simulation is made to verify the effectiveness ofthe least squares estimators.
  • 关键词:Least squares estimator; L´evy noises; discrete;observations; consistency
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