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The Area of a Random Convex Polygon
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2004 (English)Report (Other academic)
Abstract [en]

We consider the area of the convex hull of n random points in a square. We give the distribution function of thearea for three and four points. We also present some results on the number of vertices of the convex hull. Results from Monte Carlo tests with large n are presented and compared with asymptotic estimates.

Place, publisher, year, edition, pages
2004. , 31 p.
Keyword [en]
Area of random convex polygon
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-127525OAI: oai:DiVA.org:kth-127525DiVA: diva2:644486
Note

Qc 20131010

Available from: 2013-08-30 Created: 2013-08-30 Last updated: 2013-10-10Bibliographically approved

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area12.pdf(319 kB)48 downloads
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Philip, Johan
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf