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Asymptotic distribution theory of statistical functionals: The compact derivative approach for robust estimators

Annals of the Institute of Statistical Mathematics, 1985
This paper proves the asymptotic normality of estimators which are functionals of the e.d.f. \(\hat F_ n\) such as R, L, M-estimators or minimum distance estimators. Following \textit{J. A. Reeds}' ''On the definition of von Mises functionals.'' Ph. D. Thesis, Havard Univ.
Esty, W.   +3 more
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Boltzmann statistical theory and asymptotics of the temperature distribution of spontaneous jets in the convective atmospheric surface layer

Izvestiya, Atmospheric and Oceanic Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vul'fson, A. N., Borodin, O. O.
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The Asymptotic Distribution Theory of Bivariate Order Statistics

Annals of the Institute of Statistical Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic distribution theory for general statistical functionals

Annals of the Institute of Statistical Mathematics, 1985
This short paper is complementary to the paper reviewed above, see Zbl 0585.62058. It gives conditions on the c.d.f. F and on general functionals T(F) implying the compact differentiability of T at F, along \(C^ 0(R)\). The asymptotic normality of statistical functionals more general than L- estimators is derived.
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Asymptotic expansions of the distributions of the chi-square statistic based on the asymptotically distribution-free theory in covariance structures

Journal of Statistical Planning and Inference, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Properties of the Pivotal Statistic Based on the Asymptotically Distribution-Free Theory in Structural Equation Modeling

Communications in Statistics - Simulation and Computation, 2008
For normally distributed data, the asymptotic bias and skewness of the pivotal statistic Studentized by the asymptotically distribution-free standard error are shown to be the same as those given by the normal theory in structural equation modeling. This gives the same asymptotic null distributions of the two pivotal statistics up to the next order ...
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Asymptotic Theory of Least Absolute Error Regression

Journal of the American Statistical Association, 1978
Gilbert W Bassett, Roger Koenker
exaly   +2 more sources

Asymptotic Theory of Eigenvectors for Random Matrices With Diverging Spikes

Journal of the American Statistical Association, 2022
Jianqing Fan, Yingying Fan, Jinchi Lv
exaly  

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