On the law of large numbers and convergence rates for the random projections
Abstract
The aim of this paper is to establish the Marcinkiewicz-Zygmund (MZ) type law of large numbers for the randomly weighted sums with weights chosen randomly, uniformly over the unit sphere in Rn. We also establish a theorem that describes the rate of convergence in the law of large numbers for these weighted sums.
Fields of Study & Subjects
Probability and Statistical Research
Point processes and geometric inequalities
Advanced Banach Space Theory
Publication details
- Journal / source
- Electronic Communications in Probability
- Volume
- 31
- Issue
- none
- Pages
- 1–9
- Publication date
- 1 January 2026
- Language
- EN