Regularized Estimation with Variable Exponential Forgetting

Author(s):  
Jakub Dokoupil ◽  
Pavel Vaclavek
2017 ◽  
Vol 46 (4) ◽  
pp. 502-517 ◽  
Author(s):  
Haixiang Zhang ◽  
Dehui Wang ◽  
Liuquan Sun

2019 ◽  
Vol 101 (5) ◽  
pp. 743-762 ◽  
Author(s):  
Alberto Abadie ◽  
Maximilian Kasy

Many settings in empirical economics involve estimation of a large number of parameters. In such settings, methods that combine regularized estimation and data-driven choices of regularization parameters are useful. We provide guidance to applied researchers on the choice between regularized estimators and data-driven selection of regularization parameters. We characterize the risk and relative performance of regularized estimators as a function of the data-generating process and show that data-driven choices of regularization parameters yield estimators with risk uniformly close to the risk attained under the optimal (unfeasible) choice of regularization parameters. We illustrate using examples from empirical economics.


Psych ◽  
2020 ◽  
Vol 2 (4) ◽  
pp. 269-278
Author(s):  
Michela Battauz

The four-parameter logistic model is an Item Response Theory model for dichotomous items that limit the probability of giving a positive response to an item into a restricted range, so that even people at the extremes of a latent trait do not have a probability close to zero or one. Despite the literature acknowledging the usefulness of this model in certain contexts, the difficulty of estimating the item parameters has limited its use in practice. In this paper we propose a regularized estimation approach for the estimation of the item parameters based on the inclusion of a penalty term in the log-likelihood function. Simulation studies show the good performance of the proposal, which is further illustrated through an application to a real-data set.


2008 ◽  
Vol 36 (1) ◽  
pp. 199-227 ◽  
Author(s):  
Peter J. Bickel ◽  
Elizaveta Levina

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