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Bayesian quantile regression

Keming Yu and Rana A. Moyeed

Statistics & Probability Letters, 2001, vol. 54, issue 4, 437-447

Abstract: The paper introduces the idea of Bayesian quantile regression employing a likelihood function that is based on the asymmetric Laplace distribution. It is shown that irrespective of the original distribution of the data, the use of the asymmetric Laplace distribution is a very natural and effective way for modelling Bayesian quantile regression. The paper also demonstrates that improper uniform priors for the unknown model parameters yield a proper joint posterior. The approach is illustrated via a simulated and two real data sets.

Keywords: Asymmetric; Laplace; distribution; Bayesian; inference; Markov; chain; Monte; Carlo; methods; Quantile; regression (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (210)

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