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JOURNALS // Theory of Stochastic Processes // Archive

Theory Stoch. Process., 2018 Volume 23(39), Issue 1, Pages 82–92 (Mi thsp265)

Berry-Esseen type bound for fractional Ornstein-Uhlenbeck type process driven by sub-fractional Brownian motion

B. L. S. Prakasa Rao

CR Rao Advanced Institute of Research in Mathematics, Statistics and Computer Science, Hyderabad 500046, India

Abstract: We obtain a Berry-Esseen type bound for the distribution of the maximum likelihood estimator of the drift parameter for fractional Ornstein-Uhlenbeck type process driven by sub-fractional Brownian motion.

Keywords: Fractional Ornstein-Uhlenbeck type process, sub-fractional Brownian motion, Maximum likelihood estimation, Berry-Esseen type bound.

MSC: Primary 62M09; Secondary 60G22

Language: English



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