Hints for problem 2.3

Let \(Y\) be the Euclidean distance from the origin to the closest out of \(N\) data points uniformly distributed over the \(p\)-dimensional unit ball. Find the cumulative distribution function \(F_{Y}(y) = P(Y \leq y)\) and set \(F_Y (y) = 0.5\).

Published Aug. 1, 2025 2:30 PM - Last modified Aug. 7, 2025 12:17 PM