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Finite Sample Econometrics Using ERA's

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Abstract

The paper considers approximate distribution theory as a way to deliver practical improvements over asymptotic methods. Trials of the adequacy of asymptotic series based approximations are conducted and the results exhibit the need for further improvements. An alternative approach is suggested which utilizes a family of extended rational approximants (ERA's). ERA's build on the strength of primitive exact theory or asymptotic series; they allow us to blend information from diverse analytic numerical and experimental sources. The ultimate objective of the approach is to incorporate directly into software constructive functional approximants relevant to statistical practice. An illustration is provided.

Suggested Citation

  • Peter C.B. Phillips, 1983. "Finite Sample Econometrics Using ERA's," Cowles Foundation Discussion Papers 683, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:683
    Note: CFP 605.
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d06/d0683.pdf
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    as
    1. Phillips, Peter C B, 1985. "The Exact Distribution of LIML: II," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 21-36, February.
    2. Phillips, Peter C B, 1983. "ERAs: A New Approach to Small Sample Theory," Econometrica, Econometric Society, vol. 51(5), pages 1505-1525, September.
    3. Phillips, Peter C B, 1977. "Approximations to Some Finite Sample Distributions Associated with a First-Order Stochastic Difference Equation," Econometrica, Econometric Society, vol. 45(2), pages 463-485, March.
    4. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
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    Cited by:

    1. Peter C.B. Phillips & R.C. Reiss, 1984. "Testing for Serial Correlation and Unit Roots Using a Computer Function Routine Bases on ERA's," Cowles Foundation Discussion Papers 721, Cowles Foundation for Research in Economics, Yale University.
    2. Peter C.B. Phillips, 1985. "Fractional Matrix Calculus and the Distribution of Multivariate Tests," Cowles Foundation Discussion Papers 767, Cowles Foundation for Research in Economics, Yale University.
    3. Francisco Cribari-Neto & Spyros Zarkos, 1995. "Improved Test Statistics for Multivariate Regression," Econometrics 9506003, University Library of Munich, Germany.

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