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Research Article

Nonparametric estimation of linear multiplier in SDEs driven by general Gaussian processes

Received 22 Sep 2022, Accepted 23 Nov 2023, Published online: 05 Dec 2023

References

  • Baudoin, F. (2012), ‘An Overview of Rough Paths Theory’, in Rough Paths Theory, Lecture Notes. University of Connecticut.
  • Chen, Y., and Zhou, H. (2020), ‘Parameter Estimation for an Ornstein-Uhlenbeck Process Driven by a General Gaussian Noise’. arxiv:2002.09641v1 [math.PR] 22 Feb 2020.
  • El Machkouri, M., Es-Sebaiy, K., and Ouknine, Y. (2015), ‘Parameter Estimation for the Non-ergodic Ornstein-Uhlenbeck Processes Driven by Gaussian Process’. arXiv:1507.00802v1 [math.PR] 3 July 2015.
  • Kutoyants, Y. (1994), Identification of Dynamical Systems with Small Noise, Dordrecht: Kluwer.
  • Lu, Y. (2022), ‘Parameter Estimation of Non-ergodic Ornstein-Uhlenbeck Processes Driven by General Gaussian Processes’. arXiv:2207:13355v1 [math.ST] 27 Jul 2022.
  • Mishura, Y., and Zili, M. (2018), Stochastic Analysis of Mixed Fractional Gaussian Processes, London: ISTE Press; Oxford: Elsevier.
  • Nourdin, I. (2012), Selected Aspects of Fractional Brownian Motion, Milan: Bocconi University Press. Bocconi and Springer Series.
  • Prakasa Rao, B.L.S. (1983), Nonparametric Functional Estimation, New York: Academic Press.
  • Prakasa Rao, B.L.S. (1999), Statistical Inference for Diffusion Type Processes, Arnold, London, New York: Oxford University Press.
  • Prakasa Rao, B.L.S. (2010), Statistical Inference for Fractional Diffusion Processes, London: Wiley.
  • Prakasa Rao, B.L.S. (2021), ‘Nonparametric Estimation of Linear Multiplier in Stochastic Differential Equations Driven by α-Stable Noise’, Journal of the Indian Statistical Association, 59, 65–81.
  • Prakasa Rao, B.L.S. (2022), ‘Minimum L1-Norm Estimation for Fractional Ornstein-Uhlenbeck Process Driven by a Gaussian Process’. arxiv:2208.04366v1 [math. PR] 8 Aug 2022.

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