Inequalities for sums of independent random variables
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- by N. L. Carothers and S. J. Dilworth PDF
- Proc. Amer. Math. Soc. 104 (1988), 221-226 Request permission
Abstract:
A moment inequality is proved for sums of independent random variables in the Lorentz spaces ${L_{p,q}}$, thus extending an inequality of Rosenthal. The latter result is used in combination with a square function inequality to give a proof of a Banach space isomorphism theorem. Further moment inequalities are also proved.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 221-226
- MSC: Primary 60B11; Secondary 46E99, 46M35, 60G50
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958071-4
- MathSciNet review: 958071