Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908847560458240 |
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| author | Bu, AJ Kauers, Manuel Zeilberger, Doron |
| author_facet | Bu, AJ Kauers, Manuel Zeilberger, Doron |
| contents | We derive precise asymptotic expressions for the expectations, variances, covariance, and quite a few further mixed moments for the number of hairpins and the number of basepairs in RNA secondary structures, and give convincing evidence that the central-scaled distribution of the pair of random variables (hairpins, basepairs) tends in distribution to the bi-variate normal distribution with correlation $\sqrt{5 \sqrt{5} -11}/2= 0.2123322205\dots$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19255 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures Bu, AJ Kauers, Manuel Zeilberger, Doron Combinatorics Symbolic Computation We derive precise asymptotic expressions for the expectations, variances, covariance, and quite a few further mixed moments for the number of hairpins and the number of basepairs in RNA secondary structures, and give convincing evidence that the central-scaled distribution of the pair of random variables (hairpins, basepairs) tends in distribution to the bi-variate normal distribution with correlation $\sqrt{5 \sqrt{5} -11}/2= 0.2123322205\dots$ |
| title | Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures |
| topic | Combinatorics Symbolic Computation |
| url | https://arxiv.org/abs/2602.19255 |