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arXiv 2602.19255math.COcs.SC
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RNA二级结构中发夹结构和碱基对的统计分析

Statistical Analysis of Hairpins and BasePairs in RNA Secondary Structures

AJ Bu, Manuel Kauers, Doron Zeilberger

AI总结:

该研究推导了RNA二级结构中发夹结构和碱基对数量的统计特性,并证明了其分布趋于双变量正态分布。

摘要:

我们推导了RNA二级结构中发夹结构和碱基对数量的期望、方差、协方差以及许多其他混合矩的精确渐近表达式,并提供了充分证据表明,随机变量(发夹结构,碱基对)对的中心缩放分布趋于双变量正态分布,相关系数为√(5√5 -11)/2=0.2123322205…

英文摘要:

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 $\sqrt{5 \sqrt{5} -11}/2= 0.2123322205\dots$

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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