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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   +2 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 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

A Central Limit Theorem for Predictive Distributions

open access: yesMathematics, 2021
Let S be a Borel subset of a Polish space and F the set of bounded Borel functions f:S→R. Let an(·)=P(Xn+1∈·∣X1,…,Xn) be the n-th predictive distribution corresponding to a sequence (Xn) of S-valued random variables.
Patrizia Berti   +2 more
doaj   +1 more source

Central limit theorem in the symmetric group

open access: yesLietuvos 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   +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   +1 more source

A Note on Cumulant Technique in Random Matrix Theory

open access: yesEntropy, 2023
We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non ...
Alexander Soshnikov, Chutong Wu
doaj   +1 more source

Holderian functional central limit theorem for linear processes

open access: yesLietuvos Matematikos Rinkinys, 2004
Let (Xt)t ≥ 1 be a linear process defined by Xt =  ∑i=0∞ψi εt-1 where (ψi, i ≥ 0) is a sequence of  real numbers and (εi , i ∈ Z) is a sequence of random variables with null expectation and variance 1.
Mindaugas Juodis
doaj   +3 more sources

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