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Stein meets Malliavin in normal approximation [PDF]
Stein's method is a method of probability approximation which hinges on the solution of a functional equation. For normal approximation the functional equation is a first order differential equation.
Chen, Louis H. Y.
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Quasi-normal mode analysis in BEC acoustic black holes [PDF]
We perform a quasi-normal mode analysis of black hole configurations in Bose-Einstein condensates (BEC). In this analysis we use the full Bogoliubov dispersion relation, not just the hydrodynamic or geometric approximation.
Barcelo, C. +3 more
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Normal approximation for hierarchical structures [PDF]
Given F:[a,b]^k\to [a,b] and a nonconstant X_0 with P(X_0\in [a,b])=1, define the hierarchical sequence of random variables {X_n}_{n\ge 0} by X_{n+1}=F(X_{n,1},...,X_{n,k}), where X_{n,i} are i.i.d. as X_n.
Goldstein, Larry
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Beam normal spin asymmetry in the quasi-RCS approximation [PDF]
The two-photon exchange contribution to the single spin asymmetries with the spin orientation normal to the reaction plane is discussed for elastic electron-proton scattering in the equivalent photon approximation.
M. Gorchtein, N. F. Mott
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Confidence Intervals in Official Statistics: The Case of Lithuania
In the paper, the application of confidence intervals in the surveys of official statistics is discussed. It is noticedthat there are situations where at the first sight natural normal distribution-based confidence intervals are not suitable ...
Andrius Čiginas
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Normal approximation for sum of random number of summands
Normal aproximationof sum Zt =ΣNti=1Xi of i.i.d. random variables (r.v.) Xi , i = 1, 2, . . . with mean EXi = μ and variance DXi = σ2 > 0 is analyzed taking into consideration large deviations.
Leonas Saulis, Dovilė Deltuvienė
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Some estimates of the normal approximation for mixture of Poisson and gamma random variables
In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 0, and the random variable Y by the standard gamma distribution Γ (α, 0, 1) with the parameter α > 0.
Jonas Kazys Sunklodas
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Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods
In applied statistics it is often necessary to obtain an interval estimate for an unknown proportion (p) based on binomial sampling. This topic is considered in almost every introductory course.
Ana M. Pires , Conceição Amado
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In medium T-matrix for superfluid nuclear matter [PDF]
We study a generalized ladder resummation in the superfluid phase of the nuclear matter. The approach is based on a conserving generalization of the usual T-matrix approximation including also anomalous self-energies and propagators.
A. Schnell +57 more
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A new approach for approximating the p-value of a class of bivariate sign tests
Bivariate data are frequently encountered in many applied fields, including econometrics, engineering, physiology, biology, and medicine. For bivariate analysis, a wide range of non-parametric and parametric techniques can be applied.
Ibrahim A. A. Shanan +2 more
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