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A Bayesian Stochastic Approximation Method
by
Mu, Rongji
, Xu, Jin
, Cui Xiong
in
Approximation
/ Bayesian analysis
/ Computer simulation
/ Economic models
/ Estimating techniques
/ Iterative methods
/ Mathematical analysis
2017
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A Bayesian Stochastic Approximation Method
by
Mu, Rongji
, Xu, Jin
, Cui Xiong
in
Approximation
/ Bayesian analysis
/ Computer simulation
/ Economic models
/ Estimating techniques
/ Iterative methods
/ Mathematical analysis
2017
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Paper
A Bayesian Stochastic Approximation Method
2017
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Overview
Motivated by the goal of improving the efficiency of small sample design, we propose a novel Bayesian stochastic approximation method to estimate the root of a regression function. The method features adaptive local modelling and nonrecursive iteration. Strong consistency of the Bayes estimator is obtained. Simulation studies show that our method is superior in finite-sample performance to Robbins--Monro type procedures. Extensions to searching for extrema and a version of generalized multivariate quantile are presented.
Publisher
Cornell University Library, arXiv.org
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