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On the Whittle estimator for linear random noise spectral density parameter in continuous-time nonlinear regression models

Probability 2019-09-24 v1 Statistics Theory Statistics Theory

Abstract

A continuous-time nonlinear regression model with L\'evy-driven linear noise process is considered. Sufficient conditions of consistency and asymptotic normality of the Whittle estimator for the parameter of the noise spectral density are obtained in the paper.

Keywords

Cite

@article{arxiv.1909.10457,
  title  = {On the Whittle estimator for linear random noise spectral density parameter in continuous-time nonlinear regression models},
  author = {A. V. Ivanov and N. N. Leonenko and I. V. Orlovskyi},
  journal= {arXiv preprint arXiv:1909.10457},
  year   = {2019}
}

Comments

38 pages

R2 v1 2026-06-23T11:23:24.117Z