Number of Distinct Values in a Large Sample with Dependent Observations under fGn from an Infinite Discrete Distribution Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2026, Volume: 23, Number: 1, Pages: 393–403 Pages count : 11 DOI: 10.33048/semi.2026.23.025 | ||
| Tags | urn scheme, fractional noise, transform of Gaussian sequence, long-range dependence, statistical text modeling. | ||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2024-0001 |
Abstract:
The growth dynamics of the number of distinct values in samples obtained from a stationary sequence of dependent observations with an infinite discrete distribution is investigated. The analysis of this behavior for samples formed from a sequence of i.i.d. random variables is well-established. In this paper, the expected number of distinct values in the independent case is compared with that for dependent observations. A connection is established between the estimation of these expectations and the problem of estimating multivariate normal distributions. The application of the considered stationary sequences to statistical text modeling is discussed.
Cite:
Arkashov N.S.
Number of Distinct Values in a Large Sample with Dependent Observations under fGn from an Infinite Discrete Distribution
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.393–403. DOI: 10.33048/semi.2026.23.025
Number of Distinct Values in a Large Sample with Dependent Observations under fGn from an Infinite Discrete Distribution
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.393–403. DOI: 10.33048/semi.2026.23.025
Dates:
| Submitted: | Dec 11, 2025 |
| Published online: | Apr 20, 2026 |
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