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Understanding some long‐tailed symmetrical distributions

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  • William H. Rogers
  • John W. Tukey

Abstract

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Suggested Citation

  • William H. Rogers & John W. Tukey, 1972. "Understanding some long‐tailed symmetrical distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 26(3), pages 211-226, September.
    • Handle: RePEc:bla:stanee:v:26:y:1972:i:3:p:211-226
    DOI: 10.1111/j.1467-9574.1972.tb00191.x
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    Cited by:

    1. Hazan, Alon & Landsman, Zinoviy & E Makov, Udi, 2003. "Robustness via a mixture of exponential power distributions," Computational Statistics & Data Analysis, Elsevier, vol. 42(1-2), pages 111-121, February.
    2. Peter Zörnig, 2019. "On Generalized Slash Distributions: Representation by Hypergeometric Functions," Stats, MDPI, vol. 2(3), pages 1-17, July.
    3. Pilar A. Rivera & Diego I. Gallardo & Osvaldo Venegas & Marcelo Bourguignon & Héctor W. Gómez, 2021. "An Extension of the Truncated-Exponential Skew- Normal Distribution," Mathematics, MDPI, vol. 9(16), pages 1-11, August.
    4. Rousseeuw, Peter J. & Verboven, Sabine, 2002. "Robust estimation in very small samples," Computational Statistics & Data Analysis, Elsevier, vol. 40(4), pages 741-758, October.
    5. M. C. Jones, 2020. "On univariate slash distributions, continuous and discrete," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(3), pages 645-657, June.
    6. Bickel, David R., 2002. "Robust estimators of the mode and skewness of continuous data," Computational Statistics & Data Analysis, Elsevier, vol. 39(2), pages 153-163, April.
    7. Cuesta-Albertos, J. A. & García-Escudero, L. A. & Gordaliza, A., 2002. "On the Asymptotics of Trimmed Best k-Nets," Journal of Multivariate Analysis, Elsevier, vol. 82(2), pages 486-516, August.
    8. Jaime S. Castillo & Inmaculada Barranco-Chamorro & Osvaldo Venegas & Héctor W. Gómez, 2023. "Slash-Weighted Lindley Distribution: Properties, Inference, and Applications," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
    9. Wilcox, Rand R., 2003. "Inferences based on multiple skipped correlations," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 223-236, October.
    10. Juan M. Astorga & Jimmy Reyes & Karol I. Santoro & Osvaldo Venegas & Héctor W. Gómez, 2020. "A Reliability Model Based on the Incomplete Generalized Integro-Exponential Function," Mathematics, MDPI, vol. 8(9), pages 1-12, September.
    11. Masse, Jean-Claude & Plante, Jean-Francois, 2003. "A Monte Carlo study of the accuracy and robustness of ten bivariate location estimators," Computational Statistics & Data Analysis, Elsevier, vol. 42(1-2), pages 1-26, February.
    12. Yolanda M. Gómez & Luis Firinguetti-Limone & Diego I. Gallardo & Héctor W. Gómez, 2023. "An Extension of the Akash Distribution: Properties, Inference and Application," Mathematics, MDPI, vol. 12(1), pages 1-15, December.
    13. Lachos, Victor H. & Prates, Marcos O. & Dey, Dipak K., 2021. "Heckman selection-t model: Parameter estimation via the EM-algorithm," Journal of Multivariate Analysis, Elsevier, vol. 184(C).
    14. Francisco A. Segovia & Yolanda M. Gómez & Osvaldo Venegas & Héctor W. Gómez, 2020. "A Power Maxwell Distribution with Heavy Tails and Applications," Mathematics, MDPI, vol. 8(7), pages 1-20, July.
    15. Luz Marina Rondon & Heleno Bolfarine, 2016. "Bayesian analysis of generalized elliptical semi-parametric models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(8), pages 1508-1524, June.
    16. Jorge A. Barahona & Yolanda M. Gómez & Emilio Gómez-Déniz & Osvaldo Venegas & Héctor W. Gómez, 2024. "Scale Mixture of Exponential Distribution with an Application," Mathematics, MDPI, vol. 12(1), pages 1-17, January.
    17. Talha Arslan, 2021. "An α -Monotone Generalized Log-Moyal Distribution with Applications to Environmental Data," Mathematics, MDPI, vol. 9(12), pages 1-18, June.
    18. Randal, John A. & Thomson, P.J.Peter J., 2004. "Maximum likelihood estimation for Tukey's three corners," Computational Statistics & Data Analysis, Elsevier, vol. 46(4), pages 677-687, July.
    19. Leonardo Barrios & Yolanda M. Gómez & Osvaldo Venegas & Inmaculada Barranco-Chamorro & Héctor W. Gómez, 2022. "The Slashed Power Half-Normal Distribution with Applications," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
    20. M. Arendarczyk & T. J. Kozubowski & A. K. Panorska, 2023. "Slash distributions, generalized convolutions, and extremes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(4), pages 593-617, August.
    21. Polonik, Wolfgang & Yao, Qiwei, 2002. "Set-Indexed Conditional Empirical and Quantile Processes Based on Dependent Data," Journal of Multivariate Analysis, Elsevier, vol. 80(2), pages 234-255, February.

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