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J. R. Magnus and H. Neudecker, “Matrix Differential Calculus with Applications in Statistics and Econometrics,” Wiley Series in Probability and Statistics, Chichester, 1988.

has been cited by the following article:

• TITLE: Testing for Cross-Sectional Dependence in a RandomEffects Model

  AUTHORS: Afees Salisu, Sam Olofin, Eugene Kouassi

  KEYWORDS: Cross-Sectional Dependence; Error Components Model; Lagrangian Multiplier (LM) Tests

  JOURNAL NAME: Open Journal of Statistics, Vol.2 No.1, January 19, 2012

  ABSTRACT: This paper extends and generalizes the works of [1,2] to allow for cross-sectional dependence in the context of a two-way error components model and consequently develops LM test. The cross-sectional dependence follows the first order spatial autoregressive error (SAE) process and is imposed on the remainder disturbances. It is important to note that this paper does not consider alternative forms of spatial lag dependence other than SAE. It also does not allow for endogeneity of the regressors and requires the normality assumption to derive the LM test.