The probability density function of an area covered with disks whose centers are randomly distributed

DOI10.1080/03610918608812496zbMATH Open0619.65150OpenAlexW2027100077MaRDI QIDQ3756492

Yasushi Asami, Atsuyuki Okabe

Publication date: 1986

Published in: Communications in Statistics. Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918608812496

zbMATH Keywords

Monte Carlo simulationnormal distributioncritical valuesVoronoi polygonsdistribution of an area covered with disks

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Monte Carlo methods (65C05) Probabilistic methods, stochastic differential equations (65C99)

Recommendations

• The set of packing and covering densities of convex disks 👍 👎
• On the asymptotic distribution of the area outside a random convex hull in a disk 👍 👎
• The probability that \(n\) random points in a disk are in convex position 👍 👎
• DENSITY FUNCTION APPROXIMATION WITH PARTICULAR REFERENCE TO THE DISTRIBUTION OF OVERLAP OF CIRCLES 👍 👎
• Distribution of the area enclosed by a plane random walk 👍 👎
• On the random coverage of the circle: a discrete model 👍 👎
• A Density Result for Random Packings of Unit Disks 👍 👎
• Coverage of Random Discs Driven by a Poisson Point Process 👍 👎
• Covering random points in a unit disk 👍 👎

This page was built for publication: The probability density function of an area covered with disks whose centers are randomly distributed

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3756492)