### 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) |
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Pages (from-to) | 644-650 |

Number of pages | 7 |

Journal | Mathematical Notes |

Volume | 90 |

Issue number | 5-6 |

DOIs | |

State | Published - Dec 1 2011 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Keywords

- Paley-Zygmund inequality
- Rosenthal inequality
- bistochastic matrix
- independent random variables
- quasinormed symmetric space

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## Cite this

Astashkin, S. V., & Tikhomirov, K. E. (2011). On probability analogs of Rosenthal's inequality.

*Mathematical Notes*,*90*(5-6), 644-650. https://doi.org/10.1134/S0001434611110034