Alicja Olejnik , Jakub Olejnik
ARTICLE

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ABSTRACT

In this paper an alternative procedure to partial regression is introduced. The presented procedure can be used in maximum likelihood estimation of spatial autoregressive model. Under certain assumptions on the dimension of certain invariant space associated with spatial weight matrix a feasible procedure is formulated, which can be used to handle large class of fixed effect designs. This is done at the expense of possibly decreased number of degrees of freedom in the Gaussian log likelihood function. Additionally, a statement on asymptotic behaviour of presented estimator is given.

KEYWORDS

partial regression, maximum likelihood estimation, spatial autoregressive model, fixed effects model

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