On the Robustness of Some Characterizations of the Normal Distribution
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Publication:5571466
DOI10.1214/AOMS/1177698158zbMath0181.22202OpenAlexW1500712862MaRDI QIDQ5571466
Publication date: 1968
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177698158
Related Items (16)
A metric approach to investigation of the stability of Pólya theorem on characterization of the normal distribution ⋮ Method of multiple transformations in stability theory ⋮ \(\epsilon\)-dependence of \(X_ 1+X_ 2\) and \(X_ 1-X_ 2\) ⋮ Almost-independent statistics \(X_ 1+X_ 2\) and \(X_ 1-X_ 2\) in the uniform metric ⋮ About almost independent linear statistics ⋮ Some wide-sense analogs of characteristic properties of the normal distribution ⋮ Estimates of the stability of the characterization of the normal law in a theorem of G. Polya ⋮ Stability of characterizations by the property of constant regression ⋮ Stability of a characterization by the identical distribution of linear forms ⋮ On the stability of Eaton's characterization by the properties of linear forms ⋮ On the stability of characterization of the normal distribution by the properties of linear forms ⋮ Stability theorems for characterizations by constant regression ⋮ Stability of the characterization of normal distribution in the Laha-Lukacs theorem. ⋮ Some strong epsilon-equivalence of random variables ⋮ A theorem of characterization by equal distribution of statistics and the robustness of this characterization ⋮ Once again about the stability of Polya's theorem and a regression problem
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