Bayesian Inference Of The Regression Model With Error Terms Following The Exponential Power Distribution And Unbiasedness Of The Lad Estimator

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS(2008)

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Abstract
A modified efficient jump algorithm is proposed for the Markov Chain Monte Carlo draws of the exponential power distribution. Bayesian inference based on the exponential power error term and that on the normal error term are compared. Unbiasedness of the LAD estimator is proven.
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Key words
exponential power distribution, LAD estimator, modified efficient jumping algorithm, predictive density, unbiasedness
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