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The Semicircle Law, Free Random Variables and Entropy
, 2006 Fumio Hiai, Dénes Petz
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Free Random Variables Followed by the Semicircular Law
Complex Analysis and Operator Theory, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Series of Free Random Variables
Journal of Theoretical Probability, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A d-DEFORMATION OF FREE GAUSSIAN RANDOM VARIABLES
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2005We define a deformation of free creations (and annihilations), given by operators on the full Fock space, acting nontrivially only between the vacuum subspace ℂΩ and the twofold tensor product [Formula: see text]. Then we study the distribution of the deformed free gaussian operators, with the deformation containing also a real parameter d.
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On Distribution-Free Lower Confidence Limits for the Mean of a Nonnegative Random Variable
Biometrika, 1978SUMMARY A method for setting a distribution-free lower confidence limit for the mean of a nonnegative random variable is developed, and compared with the procedure which relies on asymptotic normality of the distribution of the sample mean. Some key word8: Distribution-free confidence limit; Nonparametric; Robustness.
Breth, M. +2 more
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Free random variables whose free distributions are dictated by the semicircular law
Advances in Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cho, Ilwoo, Jorgensen, Palle E. T.
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