Some Exponential Moments of Sums of Independent Random Variables

DOI10.2307/1998810zbMath0402.60007OpenAlexW4252004432MaRDI QIDQ4187054

James Kuelbs

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998810

zbMATH Keywords

Exponential InequalitiesExponential Moments of the Supremum of Partial SumsMultidimensional Empirical Distribution Function

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11)

Related Items

Limit theorems for moving averages of independent random vectors ⋮ Lacunary Series and Exponential Moments ⋮ Half-region depth for stochastic processes ⋮ \(L_p\)-consistency of multivariate density estimates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Glivenko-Cantelli theorem for weighted empiricals based on independent random variables
• A counterexample for Banach space valued random variables
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• On the Deviations of the Empiric Distribution Function of Vector Chance Variables
• Operator-stable probability measures on Banach spaces
• Integrability of Infinite Sums of Independent Vector-Valued Random Variables
• The Law of the Iterated Logarithm for Empirical Distribution
• Sums of independent Banach space valued random variables
• An Estimate Concerning the Kolmogroff Limit Distribution

This page was built for publication: Some Exponential Moments of Sums of Independent Random Variables