Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CONTINUATION THEOREMS OF THE EXTREMES UNDER POWER NORMALIZATION

  • Barakat, H.M. (Department of Mathematics, Zagazig University) ;
  • Nigm, E.M. (Department of Mathematics, Zagazig University) ;
  • El-Adll, M.E. (Department of Mathematics, Helwan University)
  • Published : 2002.09.01

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Abstract

In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

Keywords

References

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