Densities of Shortest Path Lengths in Spatial Stochastic Networks

Autor:	Frank Fleischer, Florian Voss, Volker Schmidt, Catherine Gloaguen
Rok vydání:	2011
Předmět:	Statistics and Probability Stochastic modelling Applied Mathematics Estimator Probability density function Density estimation Average path length Combinatorics Modeling and Simulation Shortest path problem Applied mathematics Probability distribution Stochastic geometry Mathematics
Zdroj:	Stochastic Models. 27:141-167
ISSN:	1532-4214 1532-6349
DOI:	10.1080/15326349.2011.542735
Popis:	We consider a spatial stochastic model for telecommunication networks, the stochastic subscriber line model, and we investigate the distribution of the typical shortest path length between network components. Therefore, we derive a representation formula for the probability density of this distribution which is based on functionals of the so-called typical serving zone. Using this formula, we construct an estimator for the density of the typical shortest path length and we analyze the statistical properties of this estimator. Moreover, we introduce new simulation algorithms for the typical serving zone which are used in a numerical study in order to estimate the density and moments of the typical shortest path length for different specific models.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a0753f2ab3306a000ef838a138c5d4e5 https://doi.org/10.1080/15326349.2011.542735 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.