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Empirical Distributions and Processes pp 33–44Cite as

Kolmogorov-smirnov tests when parameters are estimated

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 566))

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References

  • Durbin, J. (1961). Some methods of constructing exact tests. Biometrika, 48, 41–55.

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  • Durbin, J. (1973a). Weak convergence of the sample distribution function when parameters are estimated. Ann. Statist., 1, 279–290.

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  • Durbin, J. (1973b). Distribution Theory for Tests based on the Sample Distribution Function. Philadelphia: Society of Industrial and Applied Mathematics.

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  • Durbin, J. (1975a). Tests of model specification based on residuals. A Survey of Statistical Design and Linear Models ed. J. N. Srivastava. Rotterdam: North Holland.

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  • Durbin, J. (1965b). Kolmogorov-Smirnov tests when parameters are estimated with applications to tests of exponentiality and tests on spacings. Biometrika, 62, 5–22.

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  • Lilliefors, H.W. (1967). On the Kolmogorov-Smirnov test for normality with mean and variance unknown. J.Am.Statist.Assoc., 62, 399–402.

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  • Lilliefors, H.W. (1969). On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown. J.Am.Statist.Assoc., 64, 387–389.

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  • Pearson, E.S. and Hartley, H.O. (1972). Biometrika Tables for Statisticians, Vol. 2. Cambridge University Press.

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  • Rao, K.C. (1972). The Kolmogoroff, Cramér-von Mises, Chisquare statistics for goodness-of-fit tests in the parametric case. (Abstract). Bull.Inst.Math.Statist., 1, 87.

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Authors and Affiliations

  1. London School of Economics and Political Science, UK

    J. Durbin

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  1. J. Durbin
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Peter Gaenssler Pál Révész

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© 1976 Springer-Verlag

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Durbin, J. (1976). Kolmogorov-smirnov tests when parameters are estimated. In: Gaenssler, P., Révész, P. (eds) Empirical Distributions and Processes. Lecture Notes in Mathematics, vol 566. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096877

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  • DOI: https://doi.org/10.1007/BFb0096877

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08061-9

  • Online ISBN: 978-3-540-37515-9

  • eBook Packages: Springer Book Archive

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