Name
Title | ||
|---|---|---|
Joint distributions for total lengths of shortest-path trees in telecommunication networks. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s12243-014-0440-9 | Annales des Télécommunications |
Keywords | Field | DocType |
Shortest-path tree, Palm calculus, Parametric copula, Tree length, Network planning, Pseudo-maximum-likelihood, Stochastic geometry | Stochastic geometry,Random variable,Joint probability distribution,Telecommunications,Shortest path problem,Copula (linguistics),Parametric statistics,Shortest-path tree,Marginal distribution,Mathematics | Journal |
Volume | Issue | ISSN |
70 | 5-6 | 1958-9395 |
Citations | PageRank | References |
1 | 0.38 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| D. Neuhäuser | 1 | 3 | 1.02 |
| C. Hirsch | 2 | 8 | 4.31 |
| Catherine Gloaguen | 3 | 22 | 5.43 |
| Volker Schmidt | 4 | 7 | 4.80 |