4.7 Article

GMM Estimation of a Partially Linear Additive Spatial Error Model

Journal

MATHEMATICS
Volume 9, Issue 6, Pages -

Publisher

MDPI
DOI: 10.3390/math9060622

Keywords

PLASEM; local linear estimation; GMM estimation; consistency; asymptotic normality; Monte Carlo simulation

Categories

Funding

  1. NSF of Fujian Province, PR China [2018J05002, 2020J01170]
  2. Fujian Normal University Innovation Team Foundation, PR China [IRTL1704]
  3. Scientific Research Foundation of Chongqing Technology and Business University, PR China [2056015]
  4. Science and Technology Research Program of Chongqing Municipal Education Commission, PR China [KJQN202000843]

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This article introduces a partially linear additive spatial error model (PLASEM) specification and its corresponding generalized method of moments (GMM), deriving consistency and asymptotic normality of estimators for cases with nonparametric terms. The finite sample performance of estimates is assessed through Monte Carlo simulations, and the proposed method is illustrated through the analysis of Boston housing data.
This article presents a partially linear additive spatial error model (PLASEM) specification and its corresponding generalized method of moments (GMM). It also derives consistency and asymptotic normality of estimators for the case with a single nonparametric term and an arbitrary number of nonparametric additive terms under some regular conditions. In addition, the finite sample performance for our estimates is assessed by Monte Carlo simulations. Lastly, the proposed method is illustrated by analyzing Boston housing data.

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