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On nonparametric tests for symmetry

  • Sigeo Aki
Article

Summary

This paper is concerned with an extension of the problem of testing symmetry about zero of a distribution function. In order to obtain the asymptotic null distribution of test statistics for the problem, a limit theorem is proved, which indeed plays an essential role in the asymptotic theory of testing, problem for symmetry.

Key words and phrases

Wiener process empirical distribution goodness-of-fit test test for symmetry weak convergence 

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References

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Copyright information

© The Institute of Statistical Mathematics, Tokyo 1987

Authors and Affiliations

  • Sigeo Aki

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