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Shrinkage Estimation in the Random Parameters Logit Model

Shrinkage Estimation in the Random Parameters Logit Model
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摘要 In this paper, we explore the properties of a positive-part Stein-like estimator which is a stochastically weighted convex combination of a fully correlated parameter model estimator and uncorrelated parameter model estimator in the Random Parameters Logit (RPL) model. The results of our Monte Carlo experiments show that the positive-part Stein-like estimator provides smaller MSE than the pretest estimator in the fully correlated RPL model. Both of them outperform the fully correlated RPL model estimator and provide more accurate information on the share of population putting a positive or negative value on the alternative attributes than the fully correlated RPL model estimates. The Monte Carlo mean estimates of direct elasticity with pretest and positive-part Stein-like estimators are closer to the true value and have smaller standard errors than those with fully correlated RPL model estimator. In this paper, we explore the properties of a positive-part Stein-like estimator which is a stochastically weighted convex combination of a fully correlated parameter model estimator and uncorrelated parameter model estimator in the Random Parameters Logit (RPL) model. The results of our Monte Carlo experiments show that the positive-part Stein-like estimator provides smaller MSE than the pretest estimator in the fully correlated RPL model. Both of them outperform the fully correlated RPL model estimator and provide more accurate information on the share of population putting a positive or negative value on the alternative attributes than the fully correlated RPL model estimates. The Monte Carlo mean estimates of direct elasticity with pretest and positive-part Stein-like estimators are closer to the true value and have smaller standard errors than those with fully correlated RPL model estimator.
作者 Tong Zeng R. Carter Hill Tong Zeng;R. Carter Hill(Department of Applied Business Sciences and Economics, University of La Verne, La Verne, CA, USA;Department of Economics, Louisiana State University, Baton Rouge, LA, USA)
出处 《Open Journal of Statistics》 2016年第4期667-674,共8页 统计学期刊(英文)
关键词 Pretest Estimator Stein-Rule Estimator Positive-Part Stein-Like Estimator Likelihood Ratio Test Random Parameters Logit Model Pretest Estimator Stein-Rule Estimator Positive-Part Stein-Like Estimator Likelihood Ratio Test Random Parameters Logit Model
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