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An Inequality in Probability Theory [PDF]
Proceedings of the American Mathematical Society, 1955 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 ...
openaire +2 more sources
Future InternetThe performance of 5G/6G cellular systems operating in millimeter wave (mmWave, 30–100 GHz) and sub-terahertz (sub-THz, 100–300 GHz) bands is conventionally assessed by utilizing the static distributions of user locations.
Darya Ostrikova +5 more
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A quantum theoretical explanation for probability judgment errors [PDF]
, 2011 A quantum probability model is introduced and used to explain human probability judgment errors including the conjunction, disjunction, inverse, and conditional fallacies, as well as unpacking effects and partitioning effects.
Busemeyer, J. R. +4 more
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Convexity and robustness of the Rényi entropy
Modern Stochastics: Theory and Applications, 2021 We study convexity properties of the Rényi entropy as function of $\alpha >0$ on finite alphabets. We also describe robustness of the Rényi entropy on finite alphabets, and it turns out that the rate of respective convergence depends on initial alphabet.
Filipp Buryak, Yuliya Mishura
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Mod-Poisson convergence in probability and number theory [PDF]
, 2009 Building on earlier work introducing the notion of "mod-Gaussian" convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we discuss the analogue notion of "mod-Poisson" convergence.
Arratia +22 more
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Dynamic Blockage in Indoor Reflection-Aided Sub-Terahertz Wireless Communications
IEEE Access, 2023 The sixth-generation cellular systems are expected to utilize the text sub-terahertz frequency band covering 100–300-GHz. Due to high path losses, the coverage of such systems will be limited to a few tens of meters making them suitable for indoor
Alexander Shurakov +8 more
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Compact support probability distributions in random matrix theory [PDF]
, 1998 We consider a generalization of the fixed and bounded trace ensembles introduced by Bronk and Rosenzweig up to an arbitrary polynomial potential. In the large-N limit we prove that the two are equivalent and that their eigenvalue distribution coincides ...
C.W.J. Beenakker +20 more
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On the Calibration of the Kennedy Model
MathematicsThe Kennedy model offers a robust framework for modeling forward rates, leveraging Gaussian random fields to accommodate emerging phenomena such as negative rates.
Dalma Tóth-Lakits, Miklós Arató
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Orthogonal polynomial ensembles in probability theory
, 2004 We survey a number of models from physics, statistical mechanics, probability theory and combinatorics, which are each described in terms of an orthogonal polynomial ensemble.
Koenig, Wolfgang
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On the proper treatment of improper distributions [PDF]
, 2017 The axiomatic foundation of probability theory presented by Kolmogorov has been the basis of modern theory for probability and statistics. In certain applications it is, however, necessary or convenient to allow improper (unbounded) distributions, which ...
Lindqvist, Bo H., Taraldsen, Gunnar
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