11. Let X1,..., Xn be an iid sample from the PDF f(x | 0) = 0x-2 for 0 < 0 < x. (a) Show V(X, 0) = 0/X(1) is a pivotal quantity and find its distribution. (b) Find the quantile function v = G-1(t) for 0

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11. Let X1,..., Xn be an iid sample from the PDF f(x | 0) = 0x-2 for 0 < 0 < x.
(a) Show V(X, 0) = 0/X(1) is a pivotal quantity and find its distribution.
(b) Find the quantile function v = G-1(t) for 0<t<1.
(c) Find the 100% interval for 0.
Transcribed Image Text:11. Let X1,..., Xn be an iid sample from the PDF f(x | 0) = 0x-2 for 0 < 0 < x. (a) Show V(X, 0) = 0/X(1) is a pivotal quantity and find its distribution. (b) Find the quantile function v = G-1(t) for 0<t<1. (c) Find the 100% interval for 0.
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