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Central limit theorem: the cornerstone of modern statistics [PDF]

open access: yesKorean Journal of Anesthesiology, 2017
According to the central limit theorem, the means of a random sample of size, n, from a population with mean, µ, and variance, σ2, distribute normally with mean, µ, and variance, σ2n.
Sang Gyu Kwak, Jong Hae Kim
doaj   +3 more sources

Quantum entropy and central limit theorem. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Significance Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory.
Bu K, Gu W, Jaffe A.
europepmc   +3 more sources

Convergence Rates for the Quantum Central Limit Theorem. [PDF]

open access: yesCommun Math Phys, 2021
Various quantum analogues of the central limit theorem, which is one of the cornerstones of probability theory, are known in the literature. One such analogue, due to Cushen and Hudson, is of particular relevance for quantum optics.
Becker S, Datta N, Lami L, Rouzé C.
europepmc   +3 more sources

A Central Limit Theorem for Vincular Permutation Patterns [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
We study the number of occurrences of any fixed vincular permutation pattern. We show that this statistics on uniform random permutations is asymptotically normal and describe the speed of convergence.
Lisa Hofer
doaj   +3 more sources

Accuracy and Precision Improvement of Temperature Measurement Using Statistical Analysis/Central Limit Theorem [PDF]

open access: yesSensors, 2023
This paper describes a method for increasing the accuracy and precision of temperature measurements of a liquid based on the central limit theorem. A thermometer immersed in a liquid exhibits a response with determined accuracy and precision.
Francisco Antônio Belo   +4 more
doaj   +2 more sources

Central limit theorem for linear groups [PDF]

open access: yes, 2016
We prove a central limit theorem for random walks with finite variance on linear groups.Comment: Published at http://dx.doi.org/10.1214/15-AOP1002 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics ...
Benoist, Yves, Quint, Jean-François
core   +3 more sources

Central limit theorem in the symmetric group

open access: diamondLietuvos Matematikos Rinkinys, 1999
In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E.
Vytas Zacharovas
doaj   +5 more sources

An improved central limit theorem and fast convergence rates for entropic transportation costs [PDF]

open access: yesSIAM Journal on Mathematics of Data Science, 2022
We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost. This is the first result which allows for asymptotically valid inference for entropic optimal transport ...
E. Barrio   +3 more
semanticscholar   +1 more source

Central Limit Theorem in View of Subspace Convex-Cyclic Operators [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In our work we have defined an operator called subspace convex-cyclic operator. The property of this newly defined operator relates eigenvalues which have eigenvectors of modulus one with kernels of the operator.
H.M. Hasan   +3 more
doaj   +2 more sources

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