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Teoriya Veroyatnostei i ee Primeneniya, 2013, Volume 58, Issue 1, Pages 177–192
DOI: https://doi.org/10.4213/tvp4499 (Mi tvp4499) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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
Full-text PDF (191 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp4499
Abstract: 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.
Received: 31.07.2012
English version:
Theory of Probability and its Applications, 2014, Volume 58, Issue 1, Pages 107–120
DOI: https://doi.org/10.1137/S0040585X97986436
Bibliographic databases:
Document Type: Article
MSC: 62G30,60F05
Language: English
Citation: E. I. Pancheva, A. Gacovska, “Asymptotic behavior of central order statistics under monotone normalization”, Teor. Veroyatnost. i Primenen., 58:1 (2013), 177–192; Theory Probab. Appl., 58:1 (2014), 107–120
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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