[Forum SIS] Bocconi DEC Seminar: Leopold Simar - March 25th

anna.simoni a unibocconi.it anna.simoni a unibocconi.it
Ven 19 Mar 2010 13:48:44 CET



Dear colleagues, 



The Department of Decision Sciences (DEC) of Bocconi University is pleased to invite you to the seminar: 


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DEC Seminar 
Università Bocconi, 
Room P01 
Via Bocconi 12 - ground floor 
Time: 12:30pm 

The DEC seminar schedule is available at http://www.unibocconi.eu/statseminar 

Thursday, March 25th 

Léopold Simar 
(Institut de Statistique, Université Catholique de Louvain) 


"Regularization of Nonparametric Frontier Estimators " 

Abstract: 

In production theory and efficiency analysis, we are interested in estimating the production frontier which is the locus of the maximal attainable level of an output (the production), given a set of inputs (the production factors). In other setups, we are rather willing to estimate an input (or cost) frontier that is defined as the minimal level of the input (cost) attainable for a given set of outputs (goods or services produced). In both cases the problem can be viewed as estimating a surface under shape constraints (monotonicity, ...). 
In this paper we derive the theory of an estimator of the frontier having an asymptotic normal distribution. The basic tool is the order-m partial frontier where we let the order m to converge to infinity when n goes to infinity but at a slow rate. The final estimator is then corrected for its inherent bias. We thus can view our estimator as a regularized frontier estimator which, in addition, is more robust to extreme values and outliers than the usual nonparametric frontier estimators, like FDH. The performances of our estimators are evaluated in finite samples through some Monte-Carlo experiments. We illustrate also how to provide, in an easy way, confidence intervals for the frontier function both with a simulated data set and a real data set. 

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Sincerely, 
Anna Simoni 

-- --------------------------- 
Anna Simoni 

Assistant Professor 
Department of Decision Sciences 
Università Bocconi 
via Roentgen, 1 
20136 Milano - Italy 

Email:anna.simoni a unibocconi.it 
Webpage: http://faculty.unibocconi.eu/annasimoni/ 

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