Exact Small Sample Properties of the Instrumental Variable Estimator. A View From a Different Angle
I derive the exact small sample properties of the instrumental variables estimator using a trigonometric approach. The distribution for the estimation error is decomposed into a product of three components - each with an intuitive interpretation. This approach helps the discussion on what underlies the exact shape of the estimator’s distribution and in particular the possibility of a bimodal distribution.
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- Phillips, P.C.B., 1983.
"Exact small sample theory in the simultaneous equations model,"
Handbook of Econometrics,
in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 8, pages 449-516
- Peter C.B. Phillips, 1982. "Exact Small Sample Theory in the Simultaneous Equations Model," Cowles Foundation Discussion Papers 621, Cowles Foundation for Research in Economics, Yale University.
- Maddala, G S & Jeong, Jinook, 1992. "On the Exact Small Sample Distribution of the Instrumental Variable Estimator," Econometrica, Econometric Society, vol. 60(1), pages 181-83, January.
- Charles R. Nelson & Richard Startz, 1988.
"Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator,"
NBER Technical Working Papers
0068, National Bureau of Economic Research, Inc.
- Nelson, Charles R & Startz, Richard, 1990. "Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator," Econometrica, Econometric Society, vol. 58(4), pages 967-76, July.
- Nelson, C. & Startz, R., 1988. "Some Furthere Results On The Exact Small Sample Properties Of The Instrumental Variable Estimator," Working Papers 88-06, University of Washington, Department of Economics.
- Nelson, C. & Startz, R., 1988. "Some Furthere Results On The Exact Small Sample Properties Of The Instrumental Variable Estimator," Discussion Papers in Economics at the University of Washington 88-06, Department of Economics at the University of Washington.
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