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Joint Distribution of Link Distances



Leonard E. Miller


The calculation of two-hop connectivity between two terminals for randomly deployed wireless networks requires the joint probability distribution of the distances between these terminals and the terminal that is acting as a relay. In general the distances are not independent since a common terminal is involved. The marginal distributions for link distances are known for various random deployment models. However, the joint distribution of two or more link distances is not known. In this paper, the derivation of the joint distribution is given in general form and in a new form suitable for computation for a network of terminals randomly deployed in a square area.
Proceedings Title
2003 Conference on Information Sciences and Systems
Conference Dates
March 12-14, 2003
Conference Location
March 124,
Conference Title
(The Johns Hopkins University)


two-hop connectivity, wireless networks


Miller, L. (2003), Joint Distribution of Link Distances, 2003 Conference on Information Sciences and Systems, March 12-14, , [online], (Accessed April 22, 2024)
Created March 1, 2003, Updated February 19, 2017