4. Let (X1,Y1), . . . , (Xn,Yn) be a sample from a bivariate normal distribution with...
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4. Let (X1,Y1), . . . , (Xn,Yn) be a sample from a bivariate normal distribution with parameters EX1 = μ1, EYi = μ2, var(Xi) = var(Yi) = σ2, and cov(Xi,Yi) = ρσ2, i = 1,2, . . . ,n. Find the distribution of the statistic T(X,Y) =
√
n
(X−μ1)−(Y −μ2) 4n i=1(Xi−Yi−X+Y)
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Related Book For
An Introduction To Probability And Statistics
ISBN: 9781118799642
3rd Edition
Authors: Vijay K. Rohatgi, A. K. Md. Ehsanes Saleh
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