Parameter Estimation for Cox-Ingersoll-Ross Model Driven by Liu process from Discrete Observations.

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Title: Parameter Estimation for Cox-Ingersoll-Ross Model Driven by Liu process from Discrete Observations.
Authors: Wei, Chao1 aytongji@126.com, Hou, Mingxu2 915386317@qq.com, Wu, Mengjie2 3187453881@qq.com
Source: IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2371-2376. 6p.
Subjects: Parameter estimation, Least squares, Stochastic differential equations, Stochastic processes, Inferential statistics, Loss functions (Statistics), Asymptotic distribution
Abstract: Statistical inference plays a vital role in the application of uncertain differential equations. This paper formulates a parameter estimation problem for the Cox-Ingersoll-Ross model driven by Liu process, focusing on cases with a small dispersion coefficient based on discrete observations. To derive the least squares estimators, a contrast function is introduced. Additionally, the consistency and asymptotic distribution of the two estimators are established. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Parameter Estimation for Cox-Ingersoll-Ross Model Driven by Liu process from Discrete Observations.
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  Data: <searchLink fieldCode="AR" term="%22Wei%2C+Chao%22">Wei, Chao</searchLink><relatesTo>1</relatesTo><i> aytongji@126.com</i><br /><searchLink fieldCode="AR" term="%22Hou%2C+Mingxu%22">Hou, Mingxu</searchLink><relatesTo>2</relatesTo><i> 915386317@qq.com</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Mengjie%22">Wu, Mengjie</searchLink><relatesTo>2</relatesTo><i> 3187453881@qq.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2026, Vol. 56 Issue 6, p2371-2376. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Least+squares%22">Least squares</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Inferential+statistics%22">Inferential statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Loss+functions+%28Statistics%29%22">Loss functions (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+distribution%22">Asymptotic distribution</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Statistical inference plays a vital role in the application of uncertain differential equations. This paper formulates a parameter estimation problem for the Cox-Ingersoll-Ross model driven by Liu process, focusing on cases with a small dispersion coefficient based on discrete observations. To derive the least squares estimators, a contrast function is introduced. Additionally, the consistency and asymptotic distribution of the two estimators are established. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Languages:
      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 2371
    Subjects:
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Least squares
        Type: general
      – SubjectFull: Stochastic differential equations
        Type: general
      – SubjectFull: Stochastic processes
        Type: general
      – SubjectFull: Inferential statistics
        Type: general
      – SubjectFull: Loss functions (Statistics)
        Type: general
      – SubjectFull: Asymptotic distribution
        Type: general
    Titles:
      – TitleFull: Parameter Estimation for Cox-Ingersoll-Ross Model Driven by Liu process from Discrete Observations.
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            NameFull: Wei, Chao
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            NameFull: Hou, Mingxu
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            NameFull: Wu, Mengjie
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: IAENG International Journal of Applied Mathematics
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