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Bayesian and non-bayesian analysis of gamma stochastic frontier models by Markov Chain Monte Carlo methods
Authors:Hideo Kozumi  Xingyuan Zhang
Affiliation:(1) Graduate School of Business Administration, Kobe University, 657-8501 Kobe, Japan;(2) Faculty of Economics, Okayama University, 700-8530 Okayama, Japan
Abstract:Summary  This paper considers simulation-based approaches for the gamma stochastic frontier model. Efficient Markov chain Monte Carlo methods are proposed for sampling the posterior distribution of the parameters. Maximum likelihood estimation is also discussed based on the stochastic approximation algorithm. The methods are applied to a data set of the U.S. electric utility industry. The authors are grateful to two anonymous referees for their useful comments, which improved an earlier version of the paper. The first author also thanks the financial support by the Japanese Ministry of Education, Culture, Sports, Science and Technology under the Grant-in-Aid for Scientific Research No.14730022.
Keywords:Acceptance-rejection Metropolis-Hastings algorithm  Auxiliary variable method  Marginal likelihood  Markov chain Monte Carlo  Stochastic approximation  Stochastic frontier model
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