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OLS Estimator for a Mixed Regressive, Spatial Autoregressive Model: Extended Version

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Author Info
Mynbaev, Kairat

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Abstract

We find the asymptotic distribution of the OLS estimator of the parameters $% \beta$ and $\rho$ in the mixed spatial model with exogenous regressors $% Y_n=X_n\beta+\rho W_nY_n+V_n$. The exogenous regressors may be bounded or growing, like polynomial trends. The assumption about the spatial matrix $W_n $ is appropriate for the situation when each economic agent is influenced by many others. The error term is a short-memory linear process. The key finding is that in general the asymptotic distribution contains both linear and quadratic forms in standard normal variables and is not normal.

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File URL: http://mpra.ub.uni-muenchen.de/15153/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 15153.

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Date of creation: 10 May 2009
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Handle: RePEc:pra:mprapa:15153

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Related research
Keywords: $L_p$-approximability; mixed spatial model; OLS asymptotics;

Find related papers by JEL classification:
C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
C01 - Mathematical and Quantitative Methods - - General - - - Econometrics

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This page was last updated on 2009-12-1.


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