Let ℬnd denote the family which consists of all subsets S1 × ... × Sd, where Si, ⊆ [n], and Si ≠ Ø, for i = 1, ..., d. We compute the L2-discrepancy of ℬnd and give estimates for the Lp-discrepancy of ℬnd for 1 ≤ p ≤ ∞.
All Science Journal Classification (ASJC) codes
- Computer Graphics and Computer-Aided Design
- Applied Mathematics
- Probabilistic method