Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/189685 
Year of Publication: 
2018
Series/Report no.: 
cemmap working paper No. CWP02/18
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
This paper proposes a simple and efficient estimation procedure for the model with non-ignorable missing data studied by Morikawa and Kim (2016). Their semiparametrically efficient estimator requires explicit non- parametric estimation and so suffers from the curse of dimensionality and requires a bandwidth selection. We propose an estimation method based on the Generalized Method of Moments (hereafter GMM). Our method is consistent and asymptotically normal regardless of the number of moments chosen. Furthermore, if the number of moments increases appropriately our estimator can achieve the semiparametric efficiency bound derived in Morikawa and Kim (2016), but under weaker regularity conditions. More- over, our proposed estimator and its consistent covariance matrix are easily computed with the widely available GMM package. We propose two data- based methods for selection of the number of moments. A small scale simulation study reveals that the proposed estimation indeed out-performs the existing alternatives infinite samples.
Subjects: 
Nonignorable nonresponse
Generalized method of moments
Semiparametric efficiency
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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