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   i.jpg 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

Issue

Vol. 9 No. 9 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On the bounds of the expected nearest neighbor distance. (2015). JOURNAL OF ADVANCES IN MATHEMATICS, 9(9), 2983-2988. https://doi.org/10.24297/jam.v9i9.2231

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