On the One Dimensional Poisson Random Geometric Graph
Joint Authors
Source
Journal of Probability and Statistics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-11
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process, and edges exist between two points if and only if their distance is less than a fixed given threshold.
We compute explicitly the distribution of the number of connected components of this graph.
The proof relies on inverting some Laplace transforms.
American Psychological Association (APA)
Decreusefond, L.& Ferraz, E.. 2011. On the One Dimensional Poisson Random Geometric Graph. Journal of Probability and Statistics،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-464905
Modern Language Association (MLA)
Decreusefond, L.& Ferraz, E.. On the One Dimensional Poisson Random Geometric Graph. Journal of Probability and Statistics No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-464905
American Medical Association (AMA)
Decreusefond, L.& Ferraz, E.. On the One Dimensional Poisson Random Geometric Graph. Journal of Probability and Statistics. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-464905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464905