The microstructure of \((t,m,s)\)-nets

DOI10.1006/jcom.2001.0596zbMath0997.11059OpenAlexW2055247939MaRDI QIDQ1347850

Harald Niederreiter, Gottlieb Isabel Pirsic

Publication date: 2 July 2002

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcom.2001.0596

zbMATH Keywords

upper and lower bounds\((t,m,s)\)-netdistribution propertiesmaximum number of points

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items

Strong tractability of integration using scrambled Niederreiter points ⋮ The nonzero gain coefficients of Sobol's sequences are always powers of two ⋮ Improved bounds on the gain coefficients for digital nets in prime power base ⋮ Local antithetic sampling with scrambled nets ⋮ Control variates for quasi-Monte Carlo (with comments and rejoinder) ⋮ Optimal quadrature for Haar wavelet spaces ⋮ Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ The discrepancy and gain coefficients of scrambled digital nets.

Cites Work

• Scrambling Sobol' and Niederreiter-Xing points
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