Suppose that (Xi , Yi), i = 1, . . . , n, form a random sample

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Suppose that (Xi , Yi), i = 1, . . . , n, form a random sample of size n from the bivariate normal distribution with means μ1 and μ2, variances σ21 and σ22 , and correlation ρ. Determine the mean and the variance of the following statistic T , given the observed values X1 = x1, . . . , Xn = xn:
Σ -Υ T =- Σ -
Distribution
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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