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Central limit theorem: the cornerstone of modern statistics [PDF]
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
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A New Limit Theorem for Quantum Walk in Terms of Quantum Bernoulli Noises [PDF]
In this paper, we consider limit probability distributions of the quantum walk recently introduced by Wang and Ye (C.S. Wang and X.J. Ye, Quantum walk in terms of quantum Bernoulli noises, Quantum Inf. Process. 15 (2016), no. 5, 1897–1908).
Caishi Wang, Suling Ren, Yuling Tang
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The F-theorem in the melonic limit
The F-theorem states that in three dimensions the sphere free energy of a field theory must decrease between ultraviolet and infrared fixed points of the renormalization group flow, and it has been proven for unitary conformal field theories (CFTs).
Dario Benedetti +3 more
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CONDITIONED LIMIT THEOREMS [PDF]
Abstract : Limit theorems for Markoff processes and suitable functionals defined on the processes occur in two principal contexts. The first context treats a situation where the limit process is one of the classical stable processes. The usual approximating processes are sums of independent random variables.
Dwass, Meyer, Karlin, Samuel
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Central limit theorem in the symmetric group
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
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A Central Limit Theorem for Predictive Distributions
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
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Crossing bridges with strong Szegő limit theorem
We develop a new technique for computing a class of four-point correlation functions of heavy half-BPS operators in planar N $$ \mathcal{N} $$ = 4 SYM theory which admit factorization into a product of two octagon form factors with an arbitrary bridge ...
A. V. Belitsky, G. P. Korchemsky
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Approximate Central Limit Theorems [PDF]
15 ...
Berckmoes, B., Molenberghs, Geert
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A functional limit theorem for random mappings
There is not abstract.
Eugenijus Manstavičius
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Inertial Theorem: Overcoming the quantum adiabatic limit
We present a theorem describing stable solutions for a driven quantum system. The theorem, coined inertial theorem, is applicable for fast driving, provided the acceleration rate is small.
Roie Dann, Ronnie Kosloff
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