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http://hdl.handle.net/20.500.12188/31501| Title: | On limit laws for central order statistics under power normalization | Authors: | Elisaveta I. Pancheva, Aneta Gacovska-Barandovska | Keywords: | k-th upper order statistic, Central rank, Power normalization, Regular norming sequence | Issue Date: | 2015 | Publisher: | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics | Source: | Pliska Stud. Math. 24 (2015), 163–180 | Journal: | Pliska Studia Mathematica | Series/Report no.: | 24; | Conference: | XVI International Summer Conference on Probability and Statistics | Abstract: | Smirnov (1949) derived four limit classes of distributions for linearly normalized central order statistics. In this paper we investigate the possible limit distributions of the k-th upper order statistics with central rank using regular power norming sequences and obtain twelve limit classes. | URI: | http://hdl.handle.net/20.500.12188/31501 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics, Institute of Mathematics: Journal Articles |
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| Pliska-24-2015-163-180.pdf | 439.92 kB | Adobe PDF | View/Open |
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