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On the Exact Distribution of LIML (revised and extended, see CFDP 658)

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Abstract

It is shown that the exact distribution of the LIML estimator in a general and leading single equation case is multivariate Cauchy. The corresponding result for the IV estimator is a form of multivariate t density where the degrees of freedom depend on the number of instruments.

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  • Peter C.B. Phillips, 1982. "On the Exact Distribution of LIML (revised and extended, see CFDP 658)," Cowles Foundation Discussion Papers 626, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:626
    Note: CFP 589.
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    1. Wegge, Leon L, 1971. "The Finite Sampling Distribution of Least Squares Estimators with Stochastic Regressors," Econometrica, Econometric Society, vol. 39(2), pages 241-251, March.
    2. P. C. B. Phillips, 1980. "Finite Sample Theory and the Distributions of Alternative Estimators of the Marginal Propensity to Consume," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 183-224.
    3. Kelejian, Harry H, 1974. "Random Parameters in a Simultaneous Equation Framework: Identification and Estimation," Econometrica, Econometric Society, vol. 42(3), pages 517-527, May.
    4. Mariano, Roberto S, 1977. "Finite Sample Properties of Instrumental Variable Estimators of Structural Coefficients," Econometrica, Econometric Society, vol. 45(2), pages 487-496, March.
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