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Statistica Sinica 28 (2018), 2795-2809

OPTIMAL MODEL AVERAGING OF
VARYING COEFFICIENT MODELS
Cong Li 1, Qi Li 2,3 , Jeffrey S. Racine 4,5,6,7 and Daiqiang Zhang 8
1 Shanghai University of Finance and Economics, 2 Capital University of
Economics and Business, 3 Texas A & M University, 4 McMaster University,
5 La Trobe University, 6 American University, 7 Aarhus University
and 8 University at Albany

Abstract: We consider the problem of model averaging over a set of semiparametric varying coefficient models where the varying coefficients can be functions of continuous and categorical variables. We propose a Mallows model averaging procedure that is capable of delivering model averaging estimators with solid finite-sample performance. Theoretical underpinnings are provided, finite-sample performance is assessed via Monte Carlo simulation, and an illustrative application is presented. The approach is very simple to implement in practice and R code is provided as supplementary material.

Key words and phrases: Candidate models, kernel smoothing, semiparametric.

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