Law of the logarithm for the maximum interpoint distance constructed by high-dimensional random matrix

Haibin Zhang, Yong Zhang, Xue Ding

Suppose $\left\{X_{i,k};1\le i\le p,1\le k\le n\right\}$ is an array of i.i.d.~real random variables. Let $\left\{p=p_n;n\ge 1\right\}$ be positive integers. Consi…