UTDR

AcronymDefinition
UTDRUltrasonic Time-Domain Reflectometry
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Mark White, NESTA invention and innovation director, said: ``The UTDR team have found a novel way of dealing with a growing environmental problem.
We have compared our algorithms to a variant of the ratio-of-uniforms method AROU [Leydold 2000al, transformed density rejection TDR [Gilks and Wild 1992], and UTDR, a variant of TDR with three almost optimal points of contact [Hormann 1995].
Sample Size 1 2 3 4 5 6 SROUC 14.5 11.4 10.3 9.8 9.4 9.2 SROUCM 15.6 12.5 11.4 10.9 10.6 10.4 SROUC (F([Mu])) 10.3 7.2 6.2 5.7 5.4 5.2 SROUC (squ.) 9.9 6.8 5.8 5.3 5.0 4.8 STDR 15.1 11.9 10.9 10.3 10.0 9.8 STDR (F([Mu])) 10.9 7.6 6.6 6.0 5.7 5.5 STDR (squ.) 10.9 7.6 6.5 5.9 5.7 5.4 UTDR 12.1 7.1 5.4 4.6 4.1 3.8 TDR 42.8 23.8 17.5 14.3 12.4 11.1 AROU 34.0 10.0 14.0 11.4 9.9 8.9 As a more interesting example where no standard generation procedure is available we investigated the generation of the median of a sample of n i.i.d.
Sample Size 1 2 3 4 5 6 SROUC 85.7 81.6 80.4 79.9 79.4 79.2 SROUCM 102.2 98.3 96.5 97.6 96.4 95.8 SROUC (F([Mu])) 42.8 39.1 37.8 37.0 36.7 36.3 SROUC (squ.) 36.0 31.9 30.8 29.9 29.4 29.3 UTDR 79.7 49.7 34.9 29.3 25.9 23.7 TDR 233.2 179.3 161.1 151.8 146.4 143.4 AROU 227.3 174.9 157.6 147.9 143.6 139.6 In a last experiment we generated the median of n i.i.d, normal variates with sample size changing between 200 and 400.
Sample Size 1 2 3 4 5 6 SROUC 30.3 23.3 21.1 19.8 19.2 18.7 SROUCM 33.7 26.6 24.3 23.2 22.5 21.9 SROUC (F([Mu])) 21.9 15.0 12.7 11.5 10.9 10.4 SROUC (squ.) 20.6 13.7 11.4 10.3 9.5 9.1 UTDR 33.5 18.4 13.3 10.8 9.3 8.3 TDR 106.5 71.4 59.8 53.8 50.5 48.0 AROU 95.1 66.8 57.1 52.6 49.6 47.9 For all three experiments, we have used programs by Moshier [1989] to compute the necessary normalization constants.