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On the structure of symmetric sample testing: A distribution-free approach

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References

  1. Ahmad, R. (1971). On goodness-of-fit for multivariate symmetry,J. Indian Statist. Assoc.,9, 1–7.

    MathSciNet  Google Scholar 

  2. Anderson, T. W. (1958).Introduction to Multivariate Statistical Analysis, Wiley, New York.

    Google Scholar 

  3. Anderson, T. W. (1966).Multivariate Analysis, ed. by Krishnaiah, P. R., Academic Press, New York.

    Google Scholar 

  4. Bell, C. B. (1960). On the structure of distribution-free statistics,Ann. Math. Statist.,31, 703–709.

    MATH  MathSciNet  Google Scholar 

  5. Bell, C. B., Blackwell, D. and Breiman, L. (1960). On the completeness of order statistics,Ann. Math. Statist.,31, 794–797.

    MATH  MathSciNet  Google Scholar 

  6. Bell, C. B. and Haller, H. S. (1969). Bivariate symmetry tests: parametric and nonparametric.Ann. Math. Statist.,40, 259–269.

    MATH  MathSciNet  Google Scholar 

  7. Birnbaum, Z. W. and Rubin, H. (1954). On distribution-free statistics,Ann. Math. Statist.,25, 593–598.

    MATH  MathSciNet  Google Scholar 

  8. B. de Finetti (1931). Funzione caratteristica di un fenomeno aleatorio,Mem. Acc. Lincei (6), 4, 86-133.

    Google Scholar 

  9. Doob, J. L. (1953).Stochastic Processes, Wiley, New York.

    MATH  Google Scholar 

  10. Lehmann, E. L. (1959).Testing Statistical Hypotheses, Wiley, New York.

    Google Scholar 

  11. Lehmann, E. L. and Stein, C. (1949). On the theory of some nonparametric hypotheses,Ann. Math. Statist.,20, 28–45.

    MathSciNet  Google Scholar 

  12. Loève, M. (1955).Probability Theory, Van Nostrand, New York.

    Google Scholar 

  13. Pitman, E. J. G. (1937). Significance tests which may be applied to samples from any population,Suppl. J. Roy. Statist. Soc.,L, 119–130.

    Article  Google Scholar 

  14. Rao, C. R. (1965).Linear Statistical Inference and Its Applications, Wiley, New York.

    MATH  Google Scholar 

  15. Révész, P. (1965). A central limit theorem for equivalent random variables.Publ. Math.,12, 295–302.

    MATH  Google Scholar 

  16. Rosenblatt, M. (1952). Remarks on a multivariate transformation,Ann. Math. Statist.,23, 470–472.

    MATH  MathSciNet  Google Scholar 

  17. Scheffé, H., (1943). On a measure problem arising in the theory of non-parametric tests,Ann. Math. Statist.,14, 227–233.

    MATH  Google Scholar 

  18. Sen, P. K. (1967). Non-parametric tests for multivariate interchangeability, Part I: Problems of location and scale in bivariate distributions.Sankhyã,29, 351–372.

    MATH  Google Scholar 

  19. Scott, W. R. (1964).Group Theory, Prentice-Hall Inc., New Jersey.

    MATH  Google Scholar 

  20. Wilks, S. S. (1946) Sample criteria for testing equality of means, equality of variances, and equality of covariances in a normal multivariate distribution.Ann. Math. Statist.,17, 257–281.

    MATH  MathSciNet  Google Scholar 

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  1. University of Strathclyde, UK

    Rashid Ahmad

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  1. Rashid Ahmad
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Ahmad, R. On the structure of symmetric sample testing: A distribution-free approach. Ann Inst Stat Math 26, 233–245 (1974). https://doi.org/10.1007/BF02479819

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  • DOI: https://doi.org/10.1007/BF02479819

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