Volume estimation by monte carlo methods*

DOI10.1080/00949658908811145zbMath0728.65019OpenAlexW2051162892MaRDI QIDQ3352366

D. S. K. Fok, D. Crevier

Publication date: 1989

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949658908811145

zbMATH Keywords

numerical integrationMonte Carlo methodsmultiple integralMonte Carlo simulationsample-mean methodvolume contentvolume-preserving transformation

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Maximum feasibility estimation, An algorithm for estimating non-convex volumes and other integrals in \(n\) dimensions, On the density of lines and Santalo's formula for computing geometric size measures, On intersection volumes of confidence hyper-ellipsoids and two geometric Monte Carlo methods, On the sample-mean method for computing hyper-volumes

Cites Work

• Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions
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