On the Szekely-Mori Asymmetry Criterion Statistics for Binary Vectors with Independent Components

Authors

  • Dmitrii O. Menshenin Moscow State University, Moscow, Russia
  • Andrew M. Zubkov Steklov Mathematical Institute of RAS, Moscow, Russia

DOI:

https://doi.org/10.17713/ajs.v37i1.295

Abstract

For random binary vectors the first two moments and limit distributions of statistics in a recently proposed by Székely and Móri criterion of asymmetry of a distribution are investigated.

References

Gregory, G. G. (1977). Large sample theory for U-statistics and tests of fit. Annals of Statistics, 5, 110-123.

Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Annals of Mathematical Statistics, 19, 293-325.

Korol’uk, V. S., and Borovskih, J. V. (1989). Theory of U-Statistics (in Russian). Kiev, USSR: Naukova dumka.

Mihailov, V. G. (1975). Central limit theorem for nonhomogeneous U-statistics of finitely-dependent random variables (in Russian). Matem. Sb., 98, 624-634.

Szekely, G. J., and Mori, T. F. (2001). A characteristic measure of asymmetry and its application for testing diagonal symmetry. Communications in Statistics – Theory

and Methods, 30, 1633-1639.

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Published

2016-04-03

How to Cite

Menshenin, D. O., & Zubkov, A. M. (2016). On the Szekely-Mori Asymmetry Criterion Statistics for Binary Vectors with Independent Components. Austrian Journal of Statistics, 37(1), 137–144. https://doi.org/10.17713/ajs.v37i1.295

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Articles