New Versions of Some Classical Stochastic Inequalities

DOI10.1080/07362994.2013.741381zbMath1275.60009OpenAlexW2049224720MaRDI QIDQ4916401

Andrew Rosalsky, De Li Li

Publication date: 22 April 2013

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.741381

zbMATH Keywords

Hoffmann-Jørgensen inequalityLévy inequalityKolmogorov strong law of large numbersOttaviani inequalitygeneral Gini's mean difference

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Cites Work

• Unnamed Item
• Unnamed Item
• Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics
• Complete convergence of martingale arrays
• A symmetrization-desymmetrization procedure for uniformly good approximation of expectations involving arbitrary sums of generalized \(U\)-statistics.
• Measuring the magnitude of sums of independent random variables
• Approximation Theorems of Mathematical Statistics
• Successive Conditional Expectations of an Integrable Function
• Limiting Behavior of Posterior Distributions when the Model is Incorrect
• COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES
• The law of the iterated logarithm and central limit theorem for \(L\)-statistics