A Comparison of Alternative Estimators of Linearly Aggregated Macro Models

Fikri Akdeniz, Hans Joachim Werner

Abstract


This paper deals with the linear aggregation problem. For the true underlying micro relations, which explain the micro behavior of the individuals, no restrictive rank conditions are assumed. Thus the analysis is presented in a framework utilizing generalized inverses of singular matrices. We investigate several estimators for certain linear transformations of the systematic part of the corresponding macro relations. Homogeneity of micro parameters is discussed. Best linear unbiased estimation for micro parameters is described.


Keywords


Aggregation bias, Best linear unbiased estimator, Linear aggregation, Macro parameter, Micro parameter, Specification error.

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DOI: http://dx.doi.org/10.18187/pjsor.v8i3.527

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Title

A Comparison of Alternative Estimators of Linearly Aggregated Macro Models

Keywords

Aggregation bias, Best linear unbiased estimator, Linear aggregation, Macro parameter, Micro parameter, Specification error.

Description

This paper deals with the linear aggregation problem. For the true underlying micro relations, which explain the micro behavior of the individuals, no restrictive rank conditions are assumed. Thus the analysis is presented in a framework utilizing generalized inverses of singular matrices. We investigate several estimators for certain linear transformations of the systematic part of the corresponding macro relations. Homogeneity of micro parameters is discussed. Best linear unbiased estimation for micro parameters is described.


Date

2012-07-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810