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Parameter estimation for threshold Ornstein-Uhlenbeck processes from discrete observations

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Assuming that a threshold Ornstein-Uhlenbeck process is observed at discrete time instants, we propose generalized moment estimators to estimate the parameters. Our theoretical basis is the celebrated ergodic theorem. With the sampling time step arbitrarily fixed, we prove the strong consistency and asymptotic normality of our estimators as the sample size tends to infinity. (C) 2022 Elsevier B.V. All rights reserved.

Threshold Ornstein-Uhlenbeck processInvariant measureErgodic theoremGeneralized moment estimatorsStrong consistencyAsymptotic normalityLIKELIHOOD-ESTIMATIONSTABILITYMODELS

Hu, Yaozhong、Xi, Yuejuan

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Univ Alberta Edmonton

Nankai Univ

2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.411
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