Summary
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.
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References
Aki, S. (1987). On nonparametric tests for symmetry,Ann. Inst. Statist. Math.,39, 457–472.
Billingsley, P. (1968).Convergence of Probability Measures, Wiley, New York.
Cramér, H. (1946).Mathematical Methods of Statistics. Princeton Univesity Press, Princeton.
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Nabeya, S. On Aki's nonparametric test for symmetry. Ann Inst Stat Math 39, 473–482 (1987). https://doi.org/10.1007/BF02491483
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DOI: https://doi.org/10.1007/BF02491483