Parametric Modeling of Sparse Random Trees Using 3D Copulas

DOI10.1080/15326349.2014.999285zbMath1328.60029OpenAlexW1677439119MaRDI QIDQ5256323

C. Gloaguen, Volker Schmidt, Christian Hirsch, David Neuhäuser

Publication date: 22 June 2015

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2014.999285

zbMATH Keywords

limit theoremjoint distributionnetwork planningparametric copulapseudo-maximum-likelihoodsparse LLC networkstypical serving zone

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Monte Carlo methods (65C05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (1)

Asymptotic properties of Euclidean shortest-path trees in random geometric graphs

Cites Work

• On the arrangement of cells in planar STIT and Poisson line tessellations
• On the distribution of typical shortest-path lengths in connected random geometric graphs
• Modeling defaults with nested Archimedean copulas
• Moderate deviations for some point measures in geometric probability
• Connected spatial networks over random points and a route-length statistic
• Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests
• A Parametric Copula Approach for Modelling Shortest-Path Trees in Telecommunication Networks
• Scaling limits for shortest path lengths along the edges of stationary tessellations
• Process level moderate deviations for stabilizing functionals
• Simulating Copulas
• Stochastic and Integral Geometry
• Hierarchies of Archimedean copulas
• Statistical Analysis and Modelling of Spatial Point Patterns
• Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration

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