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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Asymptotic behavior of central order statistics under monotone normalization
E. I. Panchevaa, A. Gacovskab a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
b Ss Cyril and Methodius University of Skopje
Аннотация:
Smirnov [9], 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 $k$-th upper order statistics with central rank using monotone regular norming sequences and obtain thirteen possible types.
Ключевые слова:
$k$-th upper order statistic, central rank, monotone normalization, regular norming sequence.
Поступила в редакцию: 31.07.2012
Образец цитирования:
E. I. Pancheva, A. Gacovska, “Asymptotic behavior of central order statistics under monotone normalization”, Теория вероятн. и ее примен., 58:1 (2013), 177–192; Theory Probab. Appl., 58:1 (2014), 107–120
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tvp4499https://doi.org/10.4213/tvp4499 https://www.mathnet.ru/rus/tvp/v58/i1/p177
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