The theory of point sets and sequences having a uniform distribution. Uniform distribution theory is important in modeling and simulation, and especially in so-called Monte Carlo and quasi-Monte Carlo methods, and seeks to characterize and construct well distributed point sets and sequences.
Uniform Distribution Theory
See also
Halton Point Set, Hammersley Point Set, Monte Carlo Method, Net, Quasi-Monte Carlo Method, Quasirandom Sequence, Uniform DistributionExplore with Wolfram|Alpha
References
Drmota, M. and Tichy, R. F. Sequences, Discrepancies and Applications. New York: Springer-Verlag, 1997.Hellekalek, P. and Larcher, G. (Eds.). Random and Quasi-Random Point Sets. New York: Springer-Verlag, 1998.Kuipers, L. and Niederreiter, H. Uniform Distribution of Sequences. New York: Wiley, 1974.Referenced on Wolfram|Alpha
Uniform Distribution TheoryCite this as:
Weisstein, Eric W. "Uniform Distribution Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UniformDistributionTheory.html