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New statistical investigations of the Ornstein-Uhlenbeck process.

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Publication:1416277
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DOI10.1016/S0898-1221(02)00182-7zbMath1036.62064MaRDI QIDQ1416277

D. Massart

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

Ornstein-Uhlenbeck processConfidence intervalMaximum likelihood estimatorTablesRobust estimator


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Markov processes: estimation; hidden Markov models (62M05)


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A mathematical framework for new fault detection schemes in nonlinear stochastic continuous-time dynamical systems



Cites Work

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  • Linear stochastic systems with constant coefficients. A statistical approach
  • Gaussian likelihood estimation for nearly nonstationary AR(1) processes
  • Hypothesis testing for nearly nonstationary autoregressive models
  • Parameter estimation with exact distribution for multidimensional Ornstein-Uhlenbeck processes
  • Nearly unstable multidimensional AR processes
  • Exact distribution of estimators of parameters in Ornstein-Uhlenbeck processes
  • A Strong Limit Theorem for Gaussian Processes
  • Densities for Stochastic Processes
  • Robust Statistics
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