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Diskretnaya Matematika, 2017, Volume 29, Issue 2, Pages 3–17
DOI: https://doi.org/10.4213/dm1425 (Mi dm1425) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Limit distributions of extremal distances to the nearest neighbor

A. M. Zubkova, O. P. Orlovb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
Full-text PDF (541 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1425
Abstract: Theorems on the limit distributions of the minimal and maximal distances to the nearest neighbor in a sample of random independent points having a uniform distribution on a metric space are proved. As examples of such spaces a multidimensional torus and a binary cube are considered.
Keywords: random points in a metric space, nearest neighbors, distributions of extremal values, binary cube.
Received: 21.02.2017
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 3, Pages 189–199
DOI: https://doi.org/10.1515/dma-2018-0018
Bibliographic databases:
Document Type: Article
UDC: 519.214+519.212.3
Language: Russian
Citation: A. M. Zubkov, O. P. Orlov, “Limit distributions of extremal distances to the nearest neighbor”, Diskr. Mat., 29:2 (2017), 3–17; Discrete Math. Appl., 28:3 (2018), 189–199
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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