Scrambled net variance for integrals of smooth functions
نویسندگان
چکیده
منابع مشابه
Monte Carlo Variance of Scrambled Net Quadrature
Hybrids of equidistribution and Monte Carlo methods of integration can achieve the superior accuracy of the former while allowing the simple error estimation methods of the latter. This paper studies the variance of one such hybrid, scrambled nets, by applying a multidimensional multiresolution (wavelet) analysis to the integrand. The integrand is assumed to be measurable and square integrable ...
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Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0, 1] where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation. Scrambled net quadrature gives allows replication based error estimation for QMC with at least the same accuracy and for smooth enough integrands even better accuracy than plain QMC. Integration over triangles, spheres, disks and...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1997
ISSN: 0090-5364
DOI: 10.1214/aos/1031594731