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Remark on semigroup techniques and the maximum likelihood estimation

Loukianova Daria

Statistics & Probability Letters, 2003, vol. 62, issue 2, 111-115

Abstract: Using a simple semigroup argument we show the almost sure convergence of the maximum likelihood estimator (MLE) for a drift parameter of diffusions given by dXt=dBt-[backward difference]U([theta],Xt) dt. The unknown parameter [theta] here belongs to an arbitrary compact metric space.

Keywords: Diffusion; Semigroups; Maximum; likelihood; estimator (search for similar items in EconPapers)
Date: 2003
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