介观域中CβE对相关统计的中心极限定理

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2022-01-01 DOI:10.1214/22-ecp481

A. Aguirre, A. Soshnikov

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引用次数: 1

摘要

我们推广了我们关于在介观区域L N=O（N2/3−（cid:15））中任意β>0的圆形β集合（cid:80）i（cid:54）=jf（L N（θi−θj））的对计数统计量的推导结果。此外，对于二分统计，我们得到了类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Central limit theorem for CβE pair dependent statistics in mesoscopic regime

We extend our results on the ﬂuctuation of the pair counting statistic of the Circular Beta Ensemble (cid:80) i (cid:54) = j f ( L N ( θ i − θ j )) for arbitrary β > 0 in the mesoscopic regime L N = O ( N 2 / 3 − (cid:15) ) . In addition, we obtain similar results for bipartite statistics.

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.