On the bounds of the expected nearest neighbor distance

Mohamed M. Rizk; Azhari A. Elhag; Saieed F. Ateya

doi:10.24297/jam.v9i9.2231

On the bounds of the expected nearest neighbor distance

Authors

Mohamed M. Rizk Faculty of Science, Menoufia University, Shebin El-Kom
Azhari A. Elhag Faculty of Science, Taif University, Taif
Saieed F. Ateya Faculty of Science, Taif University, Taif

DOI:

https://doi.org/10.24297/jam.v9i9.2231

Keywords:

Nearest neighbor rule, expected, nearest neighbor distance, extreme value distribution.

Abstract

In this paper, we give some contributions for special distributions having unbounded support for which we derive upper and lower bounds on the expected nearest neighbor distance of the extreme value (Gumbel) distribution as typical.

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Author Biographies

Mohamed M. Rizk, Faculty of Science, Menoufia University, Shebin El-Kom

Mathematics Department

Azhari A. Elhag, Faculty of Science, Taif University, Taif

Mathematics & Statistics Department

Saieed F. Ateya, Faculty of Science, Taif University, Taif

Mathematics & Statistics Department

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Published

2015-01-13

How to Cite

Rizk, M. M., Elhag, A. A., & Ateya, S. F. (2015). On the bounds of the expected nearest neighbor distance. JOURNAL OF ADVANCES IN MATHEMATICS, 9(9), 2983–2988. https://doi.org/10.24297/jam.v9i9.2231