Chernoff’s inequality in Riesz spaces

Research Article

Chernoff’s inequality in Riesz spaces

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 , 2023 , pages: 1777–1787
DOI: 10.2989/16073606.2022.2113474
Author(s): Mohamed Amine Ben Amor Tunis-El Manar University, Tunisia , Amal Omrani Tunis-El Manar University, Tunisia
Keywords: 47B65 , 60E15 , 06F20 , Moment generating function , Riesz spaces , Chernoff’s inequality
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Abstract

In this work, we will generalize the moment generating function to Riesz spaces. We will derive some of its properties and use it to prove Chernoff’s inequality inn Riesz spaces.
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