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On the continuation of the limit distribution of central order statistics under power normalization
H. M. Barakat 1   ; E. M. Nigm 1   ; E. O. Abo Zaid 1
1 Department of Mathematics Faculty of Science Zagazig, Egypt
Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 145-155 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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An important stability property of central order statistics under power normalization is discussed. It is proved that the restricted convergence of power normalized central order statistics on an arbitrary nondegenerate interval implies their weak convergence.
DOI : 10.4064/am2247-2-2016
Keywords: important stability property central order statistics under power normalization discussed proved restricted convergence power normalized central order statistics arbitrary nondegenerate interval implies their weak convergence

H. M. Barakat  1   ; E. M. Nigm  1   ; E. O. Abo Zaid  1

1 Department of Mathematics Faculty of Science Zagazig, Egypt 
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H. M. Barakat; E. M. Nigm; E. O. Abo Zaid. On the continuation of the limit distribution of central order statistics under power normalization. Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 145-155. doi: 10.4064/am2247-2-2016

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