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- Q6692743 subject Q7013903.
- Q6692743 subject Q8376892.
- Q6692743 subject Q8614478.
- Q6692743 subject Q8633849.
- Q6692743 subject Q8730188.
- Q6692743 abstract "In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N, its subsequence x1, ..., xN has a low discrepancy.Roughly speaking, the discrepancy of a sequence is low if the proportion of points in the sequence falling into an arbitrary set B is close to proportional to the measure of B, as would happen on average (but not for particular samples) in the case of an equidistributed sequence. Specific definitions of discrepancy differ regarding the choice of B (hyperspheres, hypercubes, etc.) and how the discrepancy for every B is computed (usually normalized) and combined (usually by taking the worst value).Low-discrepancy sequences are also called quasi-random or sub-random sequences, due to their common use as a replacement of uniformly distributed random numbers.The "quasi" modifier is used to denote more clearly that the values of a low-discrepancy sequence are neither random nor pseudorandom, but such sequences share some properties of random variables and in certain applications such as the quasi-Monte Carlo method their lower discrepancy is an important advantage.".
- Q6692743 thumbnail Subrandom_Kurtosis.gif?width=300.
- Q6692743 wikiPageExternalLink calgo.acm.org.
- Q6692743 wikiPageExternalLink quasi-random-sampling-subject-to-linear.html.
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- Q6692743 wikiPageExternalLink Quasi_002dRandom-Sequences.html.
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- Q6692743 comment "In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N, its subsequence x1, ..., xN has a low discrepancy.Roughly speaking, the discrepancy of a sequence is low if the proportion of points in the sequence falling into an arbitrary set B is close to proportional to the measure of B, as would happen on average (but not for particular samples) in the case of an equidistributed sequence.".
- Q6692743 label "Low-discrepancy sequence".
- Q6692743 depiction Subrandom_Kurtosis.gif.