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2015

Joint distributions for total lengths of shortest-path trees in telecommunication networks

4 years 10 months ago
Joint distributions for total lengths of shortest-path trees in telecommunication networks
Shortest-path trees play an important role in the field of optimising fixed-access telecommunication networks with respect to costs and capacities. Distributional properties of the corresponding two half-trees originating from the root of such a tree are of special interest for engineers. In the present paper, we derive parametric approximation formulas for the marginal density functions of the total lengths of both half-trees. Besides, a parametric copula is used in order to combine the marginal distributions of these functionals to a bivariate joint distribution as, naturally, the total lengths of the half-trees are not independent random variables. Asymptotic results for infinitely sparse and infinitely dense networks are discussed as well. Keywords Shortest-path tree · Palm calculus · parametric copula · tree length · network planning · pseudo-maximum-likelihood · stochastic geometry Mathematics Subject Classification (2000) 60D05 · 65C99 · 62E17
David Neuhäuser, Christian Hirsch, Catherine
Added 13 Apr 2016
Updated 13 Apr 2016
Type Journal
Year 2015
Where ADT
Authors David Neuhäuser, Christian Hirsch, Catherine Gloaguen, Volker Schmidt
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