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On the Accuracy of the Normal Approximation. II

Theory of Probability & Its Applications, 2006
Estimates are presented for the asymptotically exact constants in the estimates of the accuracy of the normal approximation for the distributions of sums of independent identically distributed random variables with finite moments of order $2+\delta ...
V. Yu. Korolev, I. G. Shevtsova
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Normal Approximation in Hilbert Space. II

Theory of Probability & Its Applications, 1989
This paper contains the proofs of the main results stated in the first part [ibid., No.2, 225-245 (1988; Zbl 0649.60005)].
Zalesskij, B. A.   +2 more
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Approximation of surfaces by normal meshes

2005
This thesis introduces a novel geometry processing pipeline based on unconstrained spherical parameterization and normal remeshing. We claim three main contributions: First we show how to increase the stability of Normal Mesh construction, while speeding it up by decomposing the process into two stages: parameterization and remeshing. We show that the
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Approximations of Normal IRT Models for Change

Journal of Educational and Behavioral Statistics, 1999
In this paper the one parameter Item Response Theory (IRT) model with normal Item Characteristic Curves (ICC) in longitudinal context has been studied. The abilities are structured according to a general mixed effects linear regression model. The items are supposed to be a sample from a large bank of items with constant mean difficulty.
Tan, E.S.   +3 more
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Normal Approximation Diagnostics for the Cox Model

Biometrics, 1999
Summary.We discuss two diagnostic methods for assessing the accuracy of the normal approximated confidence region to the likelihood‐based confidence region for the Cox proportional hazards model with censored data. The proposed diagnostic methods are extensions of the contour measures of Hodges (1987,Journal of the American Statistical Association82 ...
Chang, Chung-Chou H., Weissfeld, Lisa A.
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Normal Approximations and Asymptotic Expansions.

Journal of the American Statistical Association, 1977
Marius Iosifescu   +2 more
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Multivariate Normal Approximation

2011
Chapter 12 considers multivariate normal approximation, extending both the size bias and exchangeable pair methods to this setting. In the latter case it is shows how in some instances the exchangeable pair ‘linearity condition’ can be achieved by embedding the problem in a higher dimension.
Louis H. Y. Chen   +2 more
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The Normal Approximation for Semiparametric Averaged Derivatives

Econometrica, 1995
Summary: With the same normalization as that for standard parametric statistics, and centered at a parameter of interest, many semiparametric estimates based on \(n\) observations have been shown to be root-\(n\)-consistent and asymptotically normal. In the context of semi-parametric averaged derivative estimates, we go further by showing that the rate
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Approximations for Cumulative Distribution Function of Standard Normal

Journal of Statistics and Management Systems, 2022
Omar M Eidous
exaly  

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