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Part of the book series: Advanced Studies in Theoretical and Applied Econometrics ((ASTA,volume 23))

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Abstract

This article deals with the distribution of the von Neumann ratio of least-squares estimated regression disturbances. This distribution is approximated by a beta distribution under the condition that the behavior of explanatory variables of the regression over time is sufficiently smooth. Two examples are presented, together with a table containing 1 and 5 per cent significance limits for a number of observations ranging from 15 to 100 and a number of coefficients adjusted ranging from 2 to 6.

This article first appeared in the Journal of the American Statistical Association, 56 (1961), 793-806. Reprinted with the permission of the American Statistical Association.

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References

  • Durbin, J. and G.S. Watson: 1950, “Testing for Serial Correlation in Least Squares Regression,” I. Biometrika, 37, 409–428.

    Google Scholar 

  • Durbin, J. and G.S. Watson: 1951, “Testing for Serial Correlation in Least Squares Regression,” II. Biometrika, 38, 159–178.

    Google Scholar 

  • Hannan, E.J.: 1955a, “Exact Tests for Serial Correlation,” Biometrika, 42, 133–142.

    Google Scholar 

  • Hannan, E.J.: 1955b, “An Exact Test for Serial Correlation in Time Series,” Biometrika, 42, 316–326.

    Google Scholar 

  • Hildreth, C. and J.Y. Lu: 1960, Demand Relations with Autocorrelated Disturbances, Technical Bulletin No. 276, Agricultural Experiment Station, Michigan State University.

    Google Scholar 

  • Pearson, K.: 1948, Tables of the Incomplete Beta Function, Cambridge University Press, Cambridge, England.

    Google Scholar 

  • Prais, S.J. and H.S. Houthakker: 1955, The Analysis of Family Budgets, Cambridge University Press, Cambridge, England.

    Google Scholar 

  • Prest, A. R.: 1949, “Some Experiments in Demand Analysis,” The Review of Economics and Statistics, 31, 33–49.

    Article  Google Scholar 

  • Ruben, H.: 1960, “Probability Content of Regions Under Spherical Normal Distributions,” I. The Annals of Mathematical Statistics, 31, 598–618.

    Article  Google Scholar 

  • Theil, H.: 1961, Economic Forecasts and Policy, 2nd ed., North Holland Publishing Company, Amsterdam.

    Google Scholar 

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© 1992 Springer Science+Business Media Dordrecht

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Theil, H., Nagar, A.L. (1992). Testing the Independence of Regression Disturbances. In: Raj, B., Koerts, J. (eds) Henri Theil’s Contributions to Economics and Econometrics. Advanced Studies in Theoretical and Applied Econometrics, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2546-8_26

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  • DOI: https://doi.org/10.1007/978-94-011-2546-8_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5124-8

  • Online ISBN: 978-94-011-2546-8

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