Abstract
By using interpolation with a function parameter, we establish a moment inequality for sums of independent random variables in Lorentz spaces $\Lambda^p(\varphi)$. These estimates generalize Rosenthal inequalities in the Lorentz-Zygmund spaces $L^{p,q}(\log L)^{\gamma}$ as well as Lorentz spaces $L^{p,q}$.
Citation
Ghadir Sadeghi. "Inequalities for sums of independent random variables in Lorentz spaces." Rocky Mountain J. Math. 45 (5) 1631 - 1638, 2015. https://doi.org/10.1216/RMJ-2015-45-5-1631
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