Suppose that X1, . . . , Xm form a random sample from a continuous Distribution for
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H1: θ = θ0.
Assume that no two of the observations are equal, and let Uθ0 denote the number of pairs (Xi, Yj) such that Xi ˆ’ Yj > θ0, where i = 1, . . . , m and j = 1, . . . , n. Show that for large values of m and n, the hypothesis H0 should not be rejected if and only if
where Φˆ’1 is the quantile function of the standard normal distribution.
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
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