Article
On Small Sets of Distribution Functions of Ratio Block Sequences
Authors
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Abstract
There are various methods how to describe and characterize distri- bution of elements of sets of positive integers. One of the most interesting is that using the set of all distribution functions of the corresponding ratio block sequence introduced in [Strauch, O.—Toth, J. T.: Publ. Math. Debrecen 58 (2001), no. 4, 751–778]. In the present paper we give some sufficient conditions under which this set is small in a metric sense. As a corollary we obtain a new characterization of the case of asymptotic distribution.
Keywords
asymptotic distribution function, uniform distribution, block sequence.
Citation
Krcmarsky, D., Misık, L., & Vaclavıkova, Z. (2016). On small sets of distribution functions of ratio block sequences. Uniform Distribution Theory, 11(1), 165–174. https://doi.org/10.1515/udt-2016-0009
D. Krcmarsky, L. Misık and Z. Vaclavıkova, “On small sets of distribution functions of ratio block sequences,” Uniform Distribution Theory, vol. 11, no. 1, pp. 165–174, 2016, doi: 10.1515/udt-2016-0009.
Krcmarsky D, Misık L, Vaclavıkova Z. On small sets of distribution functions of ratio block sequences. Uniform Distribution Theory. 2016;11(1):165–174. doi:10.1515/udt-2016-0009.
Krcmarsky, D., Misık, L. and Vaclavıkova, Z. (2016), ‘On small sets of distribution functions of ratio block sequences’, Uniform Distribution Theory, 11(1), pp. 165–174. Available at: https://doi.org/10.1515/udt-2016-0009.
Krcmarsky, David, et al. “On Small Sets of Distribution Functions of Ratio Block Sequences.” Uniform Distribution Theory, vol. 11, no. 1, 2016, pp. 165–174. https://doi.org/10.1515/udt-2016-0009.
Krcmarsky, David, Ladislav Misık, and Zuzana Vaclavıkova. “On Small Sets of Distribution Functions of Ratio Block Sequences.” Uniform Distribution Theory 11, no. 1 (2016): 165–174. https://doi.org/10.1515/udt-2016-0009.
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Published by: Engineering Journals
