Webaim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of … WebMar 1, 2010 · Since (4) is invariant with respect to the linear transformation Y = a X + b, there is no loss of generality in assuming that E ( X) = 0 and E ( X 2) = 1. We prove the following characterization result. Theorem The following conditions are equivalent (a) E ( ( X 2: 3 − X 1: 3) 2 X 2: 3 = x) = E ( ( X 3: 3 − X 2: 3) 2 X 2: 3 = x) a.s.; (b)
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