Geodesic
Statistical analysis of the mixed fractional Ornstein–Uhlenbeck process
Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 500-519 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper addresses the problem of estimating the drift parameter of the Ornstein–Uhlenbeck-type process driven by the sum of independent standard and fractional Brownian motions. With the help of some recent results on the canonical representation and spectral structure of mixed processes, the maximum likelihood estimator is shown to be consistent and asymptotically normal in the large-sample limit.
Keywords: maximum likelihood estimator, Ornstein–Uhlenbeck process, fractional Brownian motion, singularly perturbed integral equation, weakly singular integral operator. 
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P. Chigansky; M. Kleptsyna. Statistical analysis of the mixed fractional Ornstein–Uhlenbeck process. Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 500-519. http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a5/

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