Denote by q y (X) a y-quantile of a r.v. X. Let X have a continuous d.f.
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Denote by qy(X) a y-quantile of a r.v. X. Let X have a continuous d.f. F(x) strictly increasing at all x’s such that 0 < F(x) < 1. Show that qy(a−X)= a−q1−y(X) for any a and y ∈ (0,1).
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