Density Estimation of Functionals of Spatial Point Processes with Application to Wireless Networks

DOI10.1137/090778821zbMath1226.62035OpenAlexW2062172106MaRDI QIDQ3097488

Nicolas Privault, Giovanni Luca Torrisi

Publication date: 10 November 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/19b50672bc899d36207edbd9549dd06768e2c9ee

zbMATH Keywords

Malliavin calculuspoint processesdensity estimationwireless networksJanossy densities

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Density estimation (62G07) Monte Carlo methods (65C05) Communication networks in operations research (90B18) Stochastic calculus of variations and the Malliavin calculus (60H07) Applications of functional analysis in probability theory and statistics (46N30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Stein approximation for multidimensional Poisson random measures by third cumulant expansions ⋮ Stein estimation of the intensity of a spatial homogeneous Poisson point process ⋮ Nonstationary shot noise modeling of neuron membrane potentials by closed-form moments and Gram-Charlier expansions ⋮ Large deviations of the interference in the Ginibre network model ⋮ Asymptotic analysis of Poisson shot noise processes, and applications

This page was built for publication: Density Estimation of Functionals of Spatial Point Processes with Application to Wireless Networks