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Bayesian automatic polynomial wavelet regression
Authors:Hee-Seok Oh  Hyoung-Moon Kim  
Institution:

aDepartment of Statistics, Seoul National University, Seoul 151-747, Republic of Korea

bDepartment of Applied Statistics, Konkuk University, Seoul 143-701, Republic of Korea

Abstract:This paper considers the problem of Bayesian automatic polynomial wavelet regression (PWR). We propose three different Bayesian methods based on integrated likelihood, conditional empirical Bayes, and reversible jump Markov chain Monte Carlo (MCMC). From the simulation results, we find that the proposed methods are similar to or superior to the existing ones.
Keywords:Boundary problem  Empirical Bayes  MCMC  Polynomial regression  Wavelet regression
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