If X and Y have a bivariate normal distribution with correlation coefficient > 0, they are

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If X and Y have a bivariate normal distribution with correlation coefficient ρ > 0, they are positively regression-dependent.

[The conditional distribution of Y given x is normal with mean η + ρτσ−1(x − ξ)

and variance τ 2(l − ρ2). Through addition to such a variable of the positive quantity ρτσ−1(x

−x) it is transformed into one with the conditional distribution of Y given x > x.]

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Testing Statistical Hypotheses

ISBN: 9781441931788

3rd Edition

Authors: Erich L. Lehmann, Joseph P. Romano

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Question Posted: Nov 02, 2024 04:01 AM

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If X and Y have a bivariate normal distribution with correlation coefficient > 0, they are

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Testing Statistical Hypotheses

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