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Tests of fit for the Rayleigh distribution based on the empirical Laplace transform

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  • Simos Meintanis
  • George Iliopoulos

Abstract

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Suggested Citation

  • Simos Meintanis & George Iliopoulos, 2003. "Tests of fit for the Rayleigh distribution based on the empirical Laplace transform," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(1), pages 137-151, March.
    • Handle: RePEc:spr:aistmt:v:55:y:2003:i:1:p:137-151
    DOI: 10.1007/BF02530490
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    References listed on IDEAS

    as
    1. K. Auinger, 1990. "Quasi goodness of fit tests for lifetime distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 37(1), pages 97-116, December.
    2. Bowman, K. O. & Shenton, L. R., 2001. "Weibull distributions when the shape parameter is defined," Computational Statistics & Data Analysis, Elsevier, vol. 36(3), pages 299-310, May.
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    Citations

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    Cited by:

    1. Meintanis, Simos & Swanepoel, Jan, 2007. "Bootstrap goodness-of-fit tests with estimated parameters based on empirical transforms," Statistics & Probability Letters, Elsevier, vol. 77(10), pages 1004-1013, June.
    2. S. M. A. Jahanshahi & A. Habibi Rad & V. Fakoor, 2016. "A Goodness-of-Fit Test for Rayleigh Distribution Based on Hellinger Distance," Annals of Data Science, Springer, vol. 3(4), pages 401-411, December.
    3. E. Bothma & J. S. Allison & I. J. H. Visagie, 2022. "New classes of tests for the Weibull distribution using Stein’s method in the presence of random right censoring," Computational Statistics, Springer, vol. 37(4), pages 1751-1770, September.
    4. Bojana Milošević & Marko Obradović, 2016. "New class of exponentiality tests based on U-empirical Laplace transform," Statistical Papers, Springer, vol. 57(4), pages 977-990, December.
    5. L. Baringhaus & B. Ebner & N. Henze, 2017. "The limit distribution of weighted $$L^2$$ L 2 -goodness-of-fit statistics under fixed alternatives, with applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(5), pages 969-995, October.
    6. Gerrit Lodewicus Grobler & Elzanie Bothma & James Samuel Allison, 2022. "Testing for the Rayleigh Distribution: A New Test with Comparisons to Tests for Exponentiality Based on Transformed Data," Mathematics, MDPI, vol. 10(8), pages 1-17, April.
    7. Philip Dörr & Bruno Ebner & Norbert Henze, 2021. "A new test of multivariate normality by a double estimation in a characterizing PDE," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(3), pages 401-427, April.

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