Abstract
We obtain probability combinatorial inequalities for independent random variables, strengthening the well-known Rosenthal inequality. As a corollary, we prove that the generalized Rosenthal inequality for identically distributed independent functions remains valid in the case of quasinormed symmetric spaces.
Original language | English (US) |
---|---|
Pages (from-to) | 644-650 |
Number of pages | 7 |
Journal | Mathematical Notes |
Volume | 90 |
Issue number | 5-6 |
DOIs | |
State | Published - Dec 2011 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Paley-Zygmund inequality
- Rosenthal inequality
- bistochastic matrix
- independent random variables
- quasinormed symmetric space