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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2011, том 17(33), выпуск 1, страницы 12–15 (Mi thsp36)

Sufficiency and Rao-Blackwellization of Vasicek Model

Jaya P. N. Bishwal

Department of Mathematics and Statistics, University of North Carolina at Charlotte, 376 Fretwell Bldg., 9201 University City Blvd., Charlotte, NC 28223-0001

Аннотация: We use sufficiency and Rao-Blackwell theorem to obtain efficient estimators and discretize the continuous time Vasicek process optimally.

Ключевые слова: Itô stochastic differential equation, diffusion, discrete observations, optimal discretization, experimental design, maximum likelihood estimators, least squares estimator, sufficiency, efficiency.

MSC: Primary 62F12, 62F15, 62M05; Secondary 60F05, 60F10, 60H10

Язык публикации: английский



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