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August, 1984 Asymptotic Bayesian Estimation of a First Order Equation with Small Diffusion
Omar Hijab
Ann. Probab. 12(3): 890-902 (August, 1984). DOI: 10.1214/aop/1176993238

Abstract

In this paper a finite-dimensional diffusion is observed in the presence of an additive Brownian motion. A large deviations result is obtained for the conditional probability distribution of the diffusion given the observations as the noise variances go to zero.

Citation

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Omar Hijab. "Asymptotic Bayesian Estimation of a First Order Equation with Small Diffusion." Ann. Probab. 12 (3) 890 - 902, August, 1984. https://doi.org/10.1214/aop/1176993238

Information

Published: August, 1984
First available in Project Euclid: 19 April 2007

zbMATH: 0543.60034
MathSciNet: MR744244
Digital Object Identifier: 10.1214/aop/1176993238

Subjects:
Primary: 58G32
Secondary: 60F10 , 93E10

Keywords: Bayesian estimation , diffusion , large deviations

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 3 • August, 1984
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