Year: 2026
Type: article
Abstract: Classical anti-concentration results focus on the random sum $S := \sum _{i=1}^n \xi_i v_i$, where $\xi_i$ are independent random variables and $v_i$ are real numbers. In this paper, we prove new concentration results concerning the random sum $S := \sum_{i=1}^n w_{\pi _i } v_i$, where $w_i, v_i$ are real numbers and $\pi$ is a random permutation.
DOI: 10.37236/15067
Institutions: Swarthmore College, Yale University
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7119728444
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