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Proceedings of the American Mathematical Society
Article . 1955 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1955 . Peer-reviewed
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An Inequality in Probability Theory

An inequality in probability theory
Authors: G. A. Hunt;

An Inequality in Probability Theory

Abstract

1. Let x and y be random variables with finite expectations. We shall say that x dominates y if e I{(x) } > E {+(y) } whenever q5 is a continuous convex function on the real line R1. (The expectations ?{+(x) } and ?{+(y) } are always well defined if + oo is admitted as a value.) Assume now that xi and x2 are independent and dominate respectively the independent random variables yi and Y2. Let q5 be a continuous convex function on R2 and denote by Fi and Gi the distribution functions of xi and yi. We have

Keywords

probability theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
bronze