On Aki's nonparametric test for symmetry

  • Seiji Nabeya


Aki (1987,Ann. Inst. Statist. Math,39, 457–472) develops a theory of extending the test for symmetry about zero of a continuous distribution functionF. In this paper we discuss the same testing problem in the case where the probabilityF(0) of being negative is unknown, which is assumed to be known in Aki's paper.

Key words and phrases

Brownian bridge test for symmetry weak convergence 


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  1. [1]
    Aki, S. (1987). On nonparametric tests for symmetry,Ann. Inst. Statist. Math.,39, 457–472.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Billingsley, P. (1968).Convergence of Probability Measures, Wiley, New York.zbMATHGoogle Scholar
  3. [3]
    Cramér, H. (1946).Mathematical Methods of Statistics. Princeton Univesity Press, Princeton.zbMATHGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1987

Authors and Affiliations

  • Seiji Nabeya
    • 1
  1. 1.Hitotsubashi UniversityHitotsubashiJapan

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