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Abstract for:

Adaptive Inference on Pure Spatial Models

Jungyoon  Lee,  Peter M  Robinson,  January 2018
Paper No' EM 596: | Full paper (pdf)
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Keywords: Efficient test; adaptive estimation; spatial models

JEL Classification: C12; C13; C14; C21

Is hard copy/paper copy available? YES - Paper Copy Still In Print.
This Paper is published under the following series: Econometrics
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We consider adaptive tests and estimates which are asymptotically efficient in the presence of unknown, nonparametric, distributional form in pure spatial models. A novel adaptive Lagrange Multiplier testing procedure for lack of spatial dependence is proposed and extended to linear regression with spatially correlated errors. Feasibility of adaptive estimation is verified and its efficiency improvement over Gaussian pseudo maximum likelihood is shown to be either less than, or more than, for models with explanatory variables. The paper covers a general class of semiparametric spatial models allowing nonlinearity in the parameters and/or the weight matrix, in addition to unknown distribution.