On combining the zero bias transform and the empirical characteristic function to test normality
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Publication:5009790
zbMath1477.62107arXiv2002.12085MaRDI QIDQ5009790
Publication date: 6 August 2021
Full work available at URL: https://arxiv.org/abs/2002.12085
Stein's methodnormal distributionempirical characteristic functiongoodness-of-fitzero bias transformation
Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Characterization and structure theory of statistical distributions (62E10) Convergence of probability measures (60B10)
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Cites Work
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- Probability in Banach spaces. Isoperimetry and processes
- A study of the quantile correlation test for normality
- An approximation to the limit distribution of the Epps-Pulley test statistic for normality
- Tests auf Normalverteilung (Tests on normality of distribution)
- A consistent test for multivariate normality based on the empirical characteristic function
- A new approach to the BHEP tests for multivariate normality
- Stein's method and the zero bias transformation with application to simple random sampling
- The limit distribution of weighted \(L^2\)-goodness-of-fit statistics under fixed alternatives, with applications
- Invariant tests for multivariate normality: A critical review
- Testing for normality in any dimension based on a partial differential equation involving the moment generating function
- A new test of multivariate normality by a double estimation in a characterizing PDE
- Testing normality via a distributional fixed point property in the Stein characterization
- A one-sample test for normality with kernel methods
- Recent and classical tests for normality - a comparative study
- Normal Approximation by Stein’s Method
- An empirical power comparison of univariate goodness-of-fit tests for normality
- Tests for departure from normality: Comparison of powers
- A Stein characterisation of the generalized hyperbolic distribution
- A test for Gaussianity in Hilbert spaces via the empirical characteristic functional
- Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces
- A simple proof of the characteristic function of Student’s t-distribution
- On the automatic selection of the tuning parameter appearing in certain families of goodness-of-fit tests
- A Goodness of Fit Test For Normality Based on Balakrishnan-Sanghvi Information
- On a data-dependent choice of the tuning parameter appearing in certain goodness-of-fit tests
- Comparisons of various types of normality tests
- An analysis of variance test for normality (complete samples)
- Comprehensive study of tests for normality and symmetry: extending the Spiegelhalter test
- Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
- A test for normality based on the empirical characteristic function
- Goodness-of-fit tests for the exponential and the normal distribution based on the integrated distribution function
