The Mean of a Maximum Likelihood Estimator Associated with the Brownian Bridge

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The Mean of a Maximum Likelihood Estima- Tor Associated with the Brownian Bridge

A closed formula for the mean of a maximum likelihood estimator associated with the Brownian bridge is obtained; the exact relation with that of the Brownian motion is established. Introduction Let Xt, t ∈ T , be a Gaussian process, and μ be a probability measure on T . To avoid measurability questions, we take T as finite. Denote Xμ = ∫ T Xt μ(dt). Consider the following maximum likelihood est...

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ژورنال

عنوان ژورنال: Electronic Communications in Probability

سال: 2003

ISSN: 1083-589X

DOI: 10.1214/ecp.v8-1064