Results 1 to 10 of about 42,861 (161)

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

CONDITIONED LIMIT THEOREMS [PDF]

open access: yesThe Annals of Mathematical Statistics, 1963
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
openaire   +2 more sources

Crossing bridges with strong Szegő limit theorem

open access: yesJournal of High Energy Physics, 2021
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
doaj   +1 more source

A functional limit theorem for random mappings

open access: yesLietuvos Matematikos Rinkinys, 1998
There is not abstract.
Eugenijus Manstavičius
doaj   +3 more sources

The F-theorem in the melonic limit

open access: yesJournal of High Energy Physics, 2022
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
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 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

Inertial Theorem: Overcoming the quantum adiabatic limit

open access: yesPhysical Review Research, 2021
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
doaj   +1 more source

Nonuniform estimate of the discounted limit theorem

open access: yesLietuvos Matematikos Rinkinys, 2004
There is not abstract.
Leonas Saulis, Dovilė Deltuvienė
doaj   +3 more sources

A limit theorem for “quicksort” [PDF]

open access: yesRAIRO - Theoretical Informatics and Applications, 1991
Summary: Let \(X_ n\) be the number of comparisons needed by the sorting algorithm Quicksort to sort a list of n numbers into their natural ordering. We show that \((X_ n-E(X_ n))/n\) converges weakly to some random variable Y. The distribution of Y is characterized as the fixed point of some contraction.
openaire   +1 more source

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