Pötscher, Benedikt M. (2006): The Distribution of Model Averaging Estimators and an Impossibility Result Regarding Its Estimation. Forthcoming in: IMS Lecture Notes
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Abstract
The finitesample as well as the asymptotic distribution of Leung and Barron's (2006) model averaging estimator are derived in the context of a linear regression model. An impossibility result regarding the estimation of the finitesample distribution of the model averaging estimator is obtained.
Item Type:  MPRA Paper 

Original Title:  The Distribution of Model Averaging Estimators and an Impossibility Result Regarding Its Estimation 
Language:  English 
Keywords:  Model mixing; model aggregation; combination of estimators; model selection; finite sample distribution; asymptotic distribution; estimation of distribution 
Subjects:  C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C51  Model Construction and Estimation C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C20  General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C52  Model Evaluation, Validation, and Selection C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C12  Hypothesis Testing: General 
Item ID:  73 
Depositing User:  Benedikt Poetscher 
Date Deposited:  03. Oct 2006 
Last Modified:  19. Feb 2014 17:57 
References:  Billingsley, P. & F. Topsoe (1967): Uniformity in weak convergence. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7, 116. Chandra, T.K. (1989): Multidimensional Polya's theorem. Bulletin of the Calcutta Mathematical Society 81, 227231. Hoeting, J. A., Madigan, D. , Raftery, A. E. & C. T. Volinsky (1999): Bayesian model averaging: a tutorial [with discussion]. Statistical Science 19, 382417. Hjort, N. L. & G. Claeskens (2003): Frequentist model average estimators. Journal of the American Statistical Association 98, 879899. Leeb, H. (2005): The distribution of a linear predictor after model selection: conditional finitesample distributions and asymptotic approximations. Journal of Statistical Planning and Inference 134, 6489. Leeb, H. (2006): The distribution of a linear predictor after model selection: unconditional finitesample distributions and asymptotic approximations. IMS Lecture NotesMonograph Series, Vol. 49, J. Rojo (ed.), 291311. Leeb, H. & B. M. Pötscher (2003): The finitesample distribution of postmodelselection estimators and uniform versus nonuniform approximations. Econometric Theory 19, 100142. Leeb, H. & B. M. Pötscher (2005a): Model Selection and Inference: Facts and Fiction. Econometric Theory 21, 2159. Leeb, H. & B. M. Pötscher (2005b): Can one estimate the conditional distribution of postmodelselection estimators? Working Paper, Department of Statistics, University of Vienna. Annals of Statistics 34, forthcoming. Leeb, H. & B. M. Pötscher (2005c): Can one estimate the unconditional distribution of postmodelselection estimators? Working Paper, Department of Statistics, University of Vienna. Leeb, H. & B. M. Pötscher (2006): Performance limits for estimators of the risk or distribution of shrinkagetype estimators, and some general lower risk bound results. Econometric Theory 22, 6997. Leung, G. & A. R. Barron (2006): Information theory and mixing leastsquares regressions. IEEE Transactions on Information Theory, forthcoming. Magnus, J. R. (2002), Estimation of the mean of a univariate normal distribution with known variance. The Econometrics Journal 5, 225236. Pötscher, B. M. (1991): Effects of model selection on inference. Econometric Theory 7, 163185. Pötscher, B. M. & A. J. Novak (1998): The distribution of estimators after model selection: large and small sample results. Journal of Statistical Computation and Simulation 60, 1956. Sen, P. K. (1979): Asymptotic properties of maximum likelihood estimators based on conditional specification. Annals of Statistics 7, 10191033. Sen P. K. & A. K. M. E. Saleh (1987): On preliminary test and shrinkage Mestimation in linear models. Annals of Statistics 15, 15801592. Yang, Y. (2000): Combining different regression procedures for adaptive regression. Journal of Multivariate Analysis 74, 135161. Yang, Y. (2003): Regression with multiple candidate models: selecting or mixing?. Statistica Sinica 13, 783809. Yang, Y. (2004): Combining forecasting procedures: some theoretical results. Econometric Theory 20, 176222. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/73 
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