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For q ∈ (0, 1) fixed, we characterize the density functions f of absolutely continuous random variables X > 0 with finite expectation whose respective distribution functions satisfy the so-called (LBS) length-bias scaling property X = q X , where X is a random variable having the distribution function F (x) = (EX) −1 x 0 y f y d y. For an absolutely… (More)

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