Article
Remarks on One Type of Uniform Distribution
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Abstract
A sequence {xn} of numbers in [0, 1] is called Buck’s uniformly distributed if for every interval I ⊂ [0, 1] the set {n ∈ N, xn ∈ I} is Buck’s measurable and its Buck’s measure density is equal to the length of I. Some examples of sequences are given. An analogy of Weyl’s criterion is proved.
Keywords
Uniform distribution, Buck’s measure density.
Citation
Pasteka, M. (2007). Remarks on one type of uniform distribution. Uniform Distribution Theory, 2(1), 79–92.
M. Pasteka, “Remarks on one type of uniform distribution,” Uniform Distribution Theory, vol. 2, no. 1, pp. 79–92, 2007.
Pasteka M. Remarks on one type of uniform distribution. Uniform Distribution Theory. 2007;2(1):79–92.
Pasteka, M. (2007), ‘Remarks on one type of uniform distribution’, Uniform Distribution Theory, 2(1), pp. 79–92.
Pasteka, Milan. “Remarks on One Type of Uniform Distribution.” Uniform Distribution Theory, vol. 2, no. 1, 2007, pp. 79–92.
Pasteka, Milan. “Remarks on One Type of Uniform Distribution.” Uniform Distribution Theory 2, no. 1 (2007): 79–92.
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Published by: Engineering Journals
