(a) Verify the expression for (Sigma_{c}) given at (24.25). (b) Prove the consistency property of the estimators...

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(a) Verify the expression for \(\Sigma_{c}\) given at (24.25).

(b) Prove the consistency property of the estimators \(\widehat{\sigma}^{2}\) and \(\widehat{ho}\) in the CSRE model.

(c) Consider the bias of the standard errors in the balanced cluster CSRE model. Show that in this case \(\mathrm{E}\left[\sum_{c} \sum_{j} \widehat{u}_{c j}^{2}\right]=\sigma^{2}[N-K(1+ho(m-1))]\).

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Microeconometrics Methods And Applications

ISBN: 9780521848053

1st Edition

Authors: A.Colin Cameron, Pravin K. Trivedi

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