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

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  • Haibin Zhang
  • Yong Zhang
  • Xue Ding

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

Suggested Citation

  • Haibin Zhang & Yong Zhang & Xue Ding, 2024. "An almost sure limit theorem for the maximum interpoint distance of random vectors in spaces of growing dimension," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(12), pages 3743-3760, October.
    • Handle: RePEc:taf:lstaxx:v:54:y:2024:i:12:p:3743-3760
    DOI: 10.1080/03610926.2024.2403548
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