An almost sure limit theorem for the maximum interpoint distance of random vectors in spaces of growing dimension

Haibin Zhang, Yong Zhang and Xue Ding

Communications in Statistics - Theory and Methods, 2024, vol. 54, issue 12, 3743-3760

Abstract: Let {pn;n≥1} be a sequence of positive integers. Let X1,…,Xpn be i.i.d. random vectors in ℝn with i.i.d. components that are centered and have variance 1. Consider the maximum interpoint distance Mn=max1≤i

Date: 2024
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DOI: 10.1080/03610926.2024.2403548

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