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• W2398651136 abstract "We study the asymptotic property of simple estimator of the parameter of a skew Brownian motion when one observes its positions on a fixed grid—or equivalently of a simple random walk with a bias at 0. This estimator, nothing more than the maximum likelihood estimator, is based only on the number of passages of the random walk at 0. It is very simple to set up, is consistent and is asymptotically mixed normal. We believe that this simplified framework is helpful to understand the asymptotic behavior of the maximum likelihood of the skew Brownian motion observed at discrete times which is studied in a companion paper." @default.
• W2398651136 created "2016-06-24" @default.
• W2398651136 creator A5083621910 @default.
• W2398651136 date "2017-04-27" @default.
• W2398651136 modified "2023-10-14" @default.
• W2398651136 title "Estimation of the bias parameter of the skew random walk and application to the skew Brownian motion" @default.
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• W2398651136 doi "https://doi.org/10.1007/s11203-017-9161-9" @default.
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