On Finite Sample Distributions of Generalized Classical Linear Identifiability Test Statistics

1960 Journal of the American Statistical Association 450 citations

Abstract

Abstract In the estimation of econometric simultaneous equations models, hypothesized necessary conditions for the identifiability of a single equation usually specify the exclusion of a number of variables from the structural equation in question. If the pre-determined variables are completely exogenous, if the disturbances in the equations are jointly normally distributed, and if a moderately high degree of precision can be obtained in reduced-form estimation, then the exact finite sample distribution of the generalized classical linear identifiability test statistic can be closely approximated by Snedecor's F with appropriate degrees of freedom.

Keywords

IdentifiabilityMathematicsApplied mathematicsDegrees of freedom (physics and chemistry)Test statisticStatisticStatisticsSampling distributionSample (material)Distribution (mathematics)Statistical hypothesis testingMathematical analysis

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Year
1960
Type
article
Volume
55
Issue
292
Pages
650-659
Citations
450
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R. L. Basmann (1960). On Finite Sample Distributions of Generalized Classical Linear Identifiability Test Statistics. Journal of the American Statistical Association , 55 (292) , 650-659. https://doi.org/10.1080/01621459.1960.10483365

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DOI
10.1080/01621459.1960.10483365