Model selection using J-test for the spatial autoregressive model vs. the matrix exponential spatial model

Xiaoyi Han*, Lung fei Lee

*Corresponding author for this work

Research output: Contribution to journalJournal Articlepeer-review

25 Citations (Scopus)

Abstract

We consider using the J-test procedure for the non-nested model selection problem between the spatial autoregressive (SAR) model and the matrix exponential spatial specification (MESS) model. The 2SLS and GMM methods are used to implement the J-test procedure and derive several test statistics under the GMM framework. We investigate the behavior of those J-test statistics in terms of pseudo true values. We extend the J-test procedure into the setting when error terms in the model are with unknown heteroskedasticity. Monte Carlo results suggest with strong spatial dependence the J-test statistics can have good power to distinguish the SAR and MESS models.

Original languageEnglish
Pages (from-to)250-271
Number of pages22
JournalRegional Science and Urban Economics
Volume43
Issue number2
DOIs
Publication statusPublished - 1 Mar 2013
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2012 Elsevier B.V.

Keywords

  • GMM
  • J-test
  • Matrix exponential spatial model
  • Pseudo true value
  • Spatial autoregressive model

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