Asymptotic distribution of the OLS estimator for a purely autoregressive spatial model

Abstract

We derive the asymptotics of the OLS estimator for a purely autoregressive spatial model. Only low-level conditions are used. As the sample size increases, the spatial matrix is assumed to approach a square-integrable function on the square (0,1)2. The asymptotic distribution is a ratio of two infinite linear combinations of [chi]2 variables. The formula involves eigenvalues of an integral operator associated with the function approached by the spatial matrices. Under the conditions imposed identification conditions for the maximum likelihood method and method of moments fail. A corrective two-step procedure using the OLS estimator is proposed.Spatial model OLS estimator Asymptotic distribution Maximum likelihood Method of moments

Similar works

Full text

thumbnail-image

Research Papers in Economics

Provided original full text link
Last time updated on 7/6/2012

This paper was published in Research Papers in Economics.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.