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- W2142546352 abstract "It is proved that if the conditional distribution of one linear form in two independent (not necessarily identically distributed) random variables given another is normal, then the variables are normal. The result complements a series of characterizations of normal distribution via different properties of linear forms: independence, linearity of regression plus homoscedasticity, equidistribution, conditional symmetry and normality. The method is different from previous ones and is based on properties of densities, not characteristic functions." @default.
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- W2142546352 date "1996-09-01" @default.
- W2142546352 modified "2023-10-12" @default.
- W2142546352 title "Normality via conditional normality of linear forms" @default.
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- W2142546352 doi "https://doi.org/10.1016/0167-7152(95)00177-8" @default.
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