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
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