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August, 1994 Some Applications of Number-Theoretic Methods in Statistics
Kai-Tai Fang, Yuan Wang, Peter M. Bentler
Statist. Sci. 9(3): 416-428 (August, 1994). DOI: 10.1214/ss/1177010392


Number-theoretic methods (NTM's) are a class of techniques by which representative points of the uniform distribution on the unit cube of $R^s$ 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.


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Kai-Tai Fang. Yuan Wang. Peter M. Bentler. "Some Applications of Number-Theoretic Methods in Statistics." Statist. Sci. 9 (3) 416 - 428, August, 1994.


Published: August, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0955.62620
MathSciNet: MR1325435
Digital Object Identifier: 10.1214/ss/1177010392

Rights: Copyright © 1994 Institute of Mathematical Statistics


Vol.9 • No. 3 • August, 1994
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