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• W1601026809 abstract "ABSTRACT We study the asymptotic behaviour of the maximum likelihood estimator corresponding to the observation of a trajectory of a skew Brownian motion, through a uniform time discretization. We characterize the speed of convergence and the limiting distribution when the step size goes to zero, which in this case are non‐classical, under the null hypothesis of the skew Brownian motion being an usual Brownian motion. This allows to design a test on the skewness parameter. We show that numerical simulations can be easily performed to estimate the skewness parameter and provide an application in Biology." @default.
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• W1601026809 date "2013-10-04" @default.
• W1601026809 modified "2023-10-14" @default.
• W1601026809 title "Is a Brownian Motion Skew?" @default.
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• W1601026809 doi "https://doi.org/10.1111/sjos.12033" @default.
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