What question did this study set out to answer?

Determine the exact finite sample properties, moments, and probability distribution of an asymptotically efficient estimator for systems of seemingly unrelated regression equations.

December 1, 1963Journal of the American Statistical Association

Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results

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Authors

AZArnold ZellnerSpringer Nature (Germany)

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Implication

Statistical analysis demonstrates rapid asymptotic convergence in regression systems, indicating substantial efficiency gains even within finite sample sizes.

Key Points

Determine the exact finite sample properties, moments, and probability distribution of an asymptotically efficient estimator for systems of seemingly unrelated regression equations.
Derived the exact first and second moments of the asymptotically efficient coefficient estimator and compared them directly to the ordinary least squares estimator.
Formulated and analyzed the exact probability density function of the estimator across different sample sizes.
Demonstrated that the estimator converges rapidly toward asymptotic normality as sample size increases.
Established that a substantial portion of the theoretical asymptotic efficiency gain is achieved in finite samples across a wide range of conditions.

Cite This Study

Arnold Zellner (1963) studied this question.

synapsesocial.com/papers/6a01c4ed8d267ec217d8bd48 https://doi.org/10.1080/01621459.1963.10480681

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Implication

Statistical analysis demonstrates rapid asymptotic convergence in regression systems, indicating substantial efficiency gains even within finite sample sizes.

Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results

Discussion

Member takes

Implication

Key Points

Cite This Study

Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results

Discussion

Member takes

Implication

Key Points

Cite This Study

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