Abstract
Number-theoretic methods (NTM’s) are a class of techniques by which representative points of the uniform distribution on the unit cube of Rs can be generated. NTM have been widely used in numerical analysis, especially in evaluation of high-dimensional integrals. Recently, NTM’s have been extended to generate representative points for many useful multivariate distributions and have been systematically applied in statistics. In this paper, we shall introduce NTM’s and review their applications in statistics, such as evaluation of the expected value of a random vector, statistical inference, regression analysis, geometric probability and experimental design.
Original language | English |
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Pages (from-to) | 416-428 |
Number of pages | 13 |
Journal | Statistical Science |
Volume | 9 |
Issue number | 3 |
DOIs | |
Publication status | Published - Aug 1994 |
Externally published | Yes |
User-Defined Keywords
- F-discrepancy
- Multivariate distribution
- Multivariate statistics
- Number-theoretic method
- Quasi-monte carlo method