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In many economic models, objects of interest are functions which satisfy conditional moment restrictions. Economics does not restrict the functional form of these models, motivating nonparametric meth...
High-dimensional instrumental variables regression and confidence sets
Instrumental variables sparsity STIV estimator endogeneity high-dimensional regression conic programming optimal instruments hereroscedasticity confidence intervals non-Gaussian errors variable selection unknown variance sign consistency
2011/6/17
We propose an instrumental variables method for estimation in linear models with endogenous
regressors in the high-dimensional setting where the sample size n can be smaller than the number
of possi...
Weak Instrumental Variables Models for Longitudinal Data
Longitudinal Data Nearly Weak Instruments Panel Data Weak Instruments Within-group TSLS Estimator
2011/4/1
This paper considers the estimation and testing of a within-group two-stage least squares (TSLS) estimator for instruments with varying degrees of weakness in a longitudinal (panel) Data model. We sho...
LASSO Methods for Gaussian Instrumental Variables Models
Methodology (stat.ME) Statistics Theory (math.ST)
2010/12/17
In this note, we propose to use sparse methods (e.g. LASSO, Post-LASSO, sqrt-LASSO, and Post-sqrt-LASSO) to form first-stage predictions and estimate optimal instruments in linear instrumental variabl...
Weak Instrumental Variables Models for Longitudinal Data
Weak Instrumental Variables asymp-totic consistency limiting distribution
2011/4/2
In this paper, we study a weak instrumental variables model for longitudinal data. A two stage least-squares estimator (the instrumental variables estimator) is presented. We show that the asymp-totic...
Convergency and Divergency of Functional Coefficient Weak Instrumental Variables Models
Discontinuity Divergence Endogenous variables Functional coefficient model Weak instrumental variables Local linear fitting Simultaneous equations
2011/4/6
In this paper, we consider a simultaneous equations model under a functional coefficient representation for the structural equation of interest and adopt the local-to-zero assumptions as in Staiger an...
Effient Estimation of Partially Varying Coefficient Instrumental Variables Models
Endogenous variables Functional-coefficient models Instrumental variables Local linear fitting Nonparametric smoothing Simultaneous equations
2011/4/6
We study a new class of semiparametric instrumental variables models with the structural function represented by a partially varying coefficient functional form. Under this representation, the models ...