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Diskretnaya Matematika, 2018, Volume 30, Issue 3, Pages 88–98
DOI: https://doi.org/10.4213/dm1536 (Mi dm1536) 		 
Limit distributions of the maximal distance to the nearest neighbour

O. P. Orlov

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/dm1536
Abstract: For sets of iid random points having a uniform (in a definite sense) distribution on the arbitrary metric space a maximal distance to the nearest neighbour is considered. By means of the Chen–Stein method new limit theorems for this random variable is proved. For random uniform samples from the set of binary cube vertices analogous results are obtained by the methods of moments.
Keywords: random points in a metric space, maximal distance to the nearest neighbour, limit distributions, binary cube.
Received: 17.02.2018
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 6, Pages 373–381
DOI: https://doi.org/10.1515/dma-2019-0036
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.214
Language: Russian
Citation: O. P. Orlov, “Limit distributions of the maximal distance to the nearest neighbour”, Diskr. Mat., 30:3 (2018), 88–98; Discrete Math. Appl., 29:6 (2019), 373–381
Citation in format AMSBIB
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    		Дискретная математика
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