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- W2078534015 abstract "Let $X_1, cdots, X_n$ be i.i.d. rv's. Let further $bar{X} = sum X_i/n, S^2 = sum(X_i - bar{X})^2$, and $U = ((X_1 - bar{X})/S, cdots, (X_n - bar{X})/S)$. If the variables $X_i$ are normally distributed or distributed as linearly transformed Gamma variables, $bar{X}$ and $U$ are independent. In this paper we show that also the converse must hold." @default.
- W2078534015 created "2016-06-24" @default.
- W2078534015 creator A5056325791 @default.
- W2078534015 date "1976-05-01" @default.
- W2078534015 modified "2023-09-25" @default.
- W2078534015 title "When are the Mean and the Studentized Differences Independent?" @default.
- W2078534015 cites W2012651852 @default.
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- W2078534015 doi "https://doi.org/10.1214/aos/1176343477" @default.
- W2078534015 hasPublicationYear "1976" @default.
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