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A note on asymptotic parametric prediction

Article ID Journal Published Year Pages File Type
1149689 Journal of Statistical Planning and Inference 2009 8 Pages PDF
Abstract
This paper is devoted to asymptotic behaviour of plug-in statistical predictors obtained by replacing the unknown parameter in a conditional expectation by a suitable estimator. We derive the L2-convergence rate and limit in distribution for the predictors. Applications to ARMA processes and diffusion processes are considered.
Keywords
62M62FOrnstein–Uhlenbeck processMoving average processDiffusion processPrediction intervalAutoregressive processPrediction
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
A note on asymptotic parametric prediction
Authors
Denis Bosq,
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Journal
Journal of Statistical Planning and Inference
Journal: Journal of Statistical Planning and Inference
Related Categories
62M
62F
Ornstein–Uhlenbeck process
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Diffusion process
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Autoregressive process
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