Geodesic
Asymptotic behavior of central order statistics under monotone normalization
Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 1, pp. 177-192 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. V. Smirnov [Tr. Mat. Inst. Steklova 25, 59 p. (1949; Zbl 0041.45301)] derived four limit types of distributions for linearly normalized central order statistics under the weak convergence. In this paper we investigate the possible limit distributions of the kth upper order statistics with central rank using monotone regular norming sequences and obtain 13 possible types.
Keywords: $k$th upper order statistic; central rank; monotone normalization; regular norming sequence. 
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E. I. Pancheva; A. Gacovska. Asymptotic behavior of central order statistics under monotone normalization. Teoriâ veroâtnostej i ee primeneniâ, Tome 58 (2013) no. 1, pp. 177-192. http://geodesic.mathdoc.fr/item/TVP_2013_58_1_a9/

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