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http://hdl.handle.net/20.500.12188/31500| Title: | Asymptotic behavior of central order statistics under monotone normalization | Authors: | Pancheva, E.I. Gacovska, A. | Keywords: | Central rank, k-th upper order statistic, Monotone normalization, Regular norming sequence | Issue Date: | 2014 | Publisher: | Elsevier, SIAM | Source: | Volume 58, Issue 1, 2014, Pages 107-120 | Journal: | Theory of Probability and its Applications | Series/Report no.: | 58;1 | Abstract: | Smirnov [Trudy Mat. Inst. Steklov., 25 (1949), pp. 3-60 (in Russian); Amer. Math. Transl., 67 (1952) (in English)] 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. | URI: | http://hdl.handle.net/20.500.12188/31500 | DOI: | 10.1137/S0040585X97986436 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics, Institute of Mathematics: Journal Articles |
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