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The smooth colonel and the reverend find common ground. / Kiefer, Nicholas M.; Racine, Jeffrey S.
In: Econometric Reviews, Vol. 36, No. 1-3, 03.2017, p. 241-256.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
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TY - JOUR
T1 - The smooth colonel and the reverend find common ground
AU - Kiefer, Nicholas M.
AU - Racine, Jeffrey S.
PY - 2017/3
Y1 - 2017/3
N2 - A semiparametric regression estimator that exploits categorical (i.e., discrete-support) kernel functions is developed for a broad class of hierarchical models including the pooled regression estimator, the fixed-effects estimator familiar from panel data, and the varying coefficient estimator, among others. Separate shrinking is allowed for each coefficient. Regressors may be continuous or discrete. The estimator is motivated as an intuitive and appealing generalization of existing methods. It is then supported by demonstrating that it can be realized as a posterior mean in the Lindley and Smith (1972) framework. As a demonstration of the flexibility of the proposed approach, the model is extended to nonparametric hierarchical regression based on B-splines.
AB - A semiparametric regression estimator that exploits categorical (i.e., discrete-support) kernel functions is developed for a broad class of hierarchical models including the pooled regression estimator, the fixed-effects estimator familiar from panel data, and the varying coefficient estimator, among others. Separate shrinking is allowed for each coefficient. Regressors may be continuous or discrete. The estimator is motivated as an intuitive and appealing generalization of existing methods. It is then supported by demonstrating that it can be realized as a posterior mean in the Lindley and Smith (1972) framework. As a demonstration of the flexibility of the proposed approach, the model is extended to nonparametric hierarchical regression based on B-splines.
KW - Bayesian methods
KW - econometrics
KW - hierarchical models
KW - kernel estimation
KW - nonparametrics
KW - panel data
UR - http://www.scopus.com/inward/record.url?scp=84961211588&partnerID=8YFLogxK
U2 - 10.1080/07474938.2015.1114304
DO - 10.1080/07474938.2015.1114304
M3 - Journal article
AN - SCOPUS:84961211588
VL - 36
SP - 241
EP - 256
JO - Econometric Reviews
JF - Econometric Reviews
SN - 0747-4938
IS - 1-3
ER -