Asymptotic distribution of the maximum interpoint distance for high-dimensional data

Ping Tang, Rongrong Lu and Junshan Xie

Statistics & Probability Letters, 2022, vol. 190, issue C

Abstract: Let X1,X2,…,Xn be a random sample coming from a p-dimensional population with independent sub-exponential components. Denote the maximum interpoint Euclidean distance by Mn=max1≤iKeywords: Interpoint distance; Gumbel distribution; Stein–Chen Poisson approximation; Moderate deviation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2022.109567

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