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Hermite normality tests

Signal Processing, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Declercq, Patrick Duvaut
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On Classical Tests of Normality

Biometrika, 1977
SUMMARY Geary studied the use of kurtosis and skewness statistics in testing for normality. The general asymptotic distribution of a class of statistics is derived in this paper, yielding a result which differs slightly from that given by Geary. It is found that the coefficient of kurtosis is not necessarily superior to the ratio of the mean deviation ...
JOSEPH L. GASTWIRTH, M. E. B. OWENS
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A NEW CHARACTERIZATION OF THE NORMAL DISTRIBUTION AND TEST FOR NORMALITY

Econometric Theory, 2015
We study the asymptotic covariance function of the sample mean and quantile, and derive a new and surprising characterization of the normal distribution: the asymptotic covariance between the sample mean and quantile is constant across all quantiles,if and only ifthe underlying distribution is normal.
Bera, Anil K.   +3 more
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The Power of Geary's test of normality

Biometrika, 1974
SUMMARY The results of an extensive simulation study investigating the power of Geary's a test for normality are summarized. While there appears to be no specific situation where Geary's test clearly and for practical purposes dominates all other tests of normality, it still has good power properties. This coupled with its computational simplicity make
D'Agostino, Ralph B., Rosman, Bernard
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On a test statistic for testing normality

Computational Statistics & Data Analysis, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Using OLS to test for normality [PDF]

open access: possibleStatistics & Probability Letters, 2012
Yitzhaki (1996) showed that the OLS estimator of the slope coefficient in a simple regression is a weighted average of the slopes delineated by adjacent observations. The weights depend only on the distribution of the independent variable. In this paper I demonstrate that equal weights can only be obtained if and only if the independent variable is ...
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A test of p-variate normality

Biometrika, 1992
We offer an easy-to-use multivariate adaptation of the Lin & Mudholkar (1980) z-test of univariate ...
Mudholkar, Govind S.   +2 more
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Normality tests and transformations

Pattern Recognition Letters, 1983
Powerful univariate and multivariate normality tests are surveyed. The advantages and disadvantages of each procedure are exposed, furthermore, a few transformation methods which can be used for classification purposes in case of non-normality, are discussed.
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New Tests for Normality

Biometrika, 1983
SUMMARY A family of statistics for testing normality is presented which includes new tests for skewness, kurtosis and bimodality alternatives. The tests are simple to use and their power properties seem to be as good as those of the very similar U-statistics given by Oja (1981).
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Testing normality

tm - Technisches Messen, 2019
Abstract In metrology, the normal distribution is often taken for granted, e. g. when evaluating the result of a measurement and its uncertainty, or when establishing the equivalence of measurements in key or supplementary comparisons. The correctness of this inference and subsequent conclusions is dependent on the normality assumption ...
Katy Klauenberg, Clemens Elster
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