Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures
Combinatorics
2026-02-24 v1 Symbolic Computation
Abstract
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
Cite
@article{arxiv.2602.19255,
title = {Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures},
author = {AJ Bu and Manuel Kauers and Doron Zeilberger},
journal= {arXiv preprint arXiv:2602.19255},
year = {2026}
}