An almost sure limit theorem for the maximum interpoint distance of random vectors in spaces of growing dimension
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
Authors
- Haibin Zhang (ORCID: https://orcid.org/0000-0001-5429-9851)
- Yong Zhang (ORCID: https://orcid.org/0000-0001-6577-5235)
- Xue Ding (ORCID: https://orcid.org/0000-0003-4834-8738)
Institutions
- Jilin University (CN)
Publication Details
- Journal
- Communication in Statistics- Theory and Methods
- Published
- 2024-10-11
- DOI
- https://doi.org/10.1080/03610926.2024.2403548
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00