2.3 Let X1, . . . ,Xn be a random sample from a population with distribution function...

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2.3 Let X1, . . . ,Xn be a random sample from a population with distribution function F(x − ), where F is symmetric, absolutely continuous, 0 , nondecreasing in each argument Xi, i = 1, . . . , n. Then Tn has a universal breakdown point m

n = m

n(Tn)

and there exists a constant A such that

where Xn:1 Xn:2 . . . Xn:n are the order statistics of the sample X1, . . . ,Xn. (Hint: see He at al. (1990).)

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Robust Statistical Methods With R

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2.3 Let X1, . . . ,Xn be a random sample from a population with distribution function...

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Xn:m-AT(X1,..., Xn) Xnn-m;+1+A

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Robust Statistical Methods With R

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