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- W2048561657 abstract "X is a nonnegative random variable such that EXt < ∞ for 0≤ t < λ ≤ ∞. The (l−ϵ) quantile of the distribution of X is bounded above by [ϵ−1 EXt]1⧸t. We show that there exist positive ϵ1 ≥ ϵ2 such that for all 0 <ϵ≤ϵ1 the function g(t) = [ϵ-1EXt]1⧸t is log-convex in [0, c] and such that for all 0 < ϵ ≤ ϵ2 the function log g(t) is nonincreasing in [0, c]." @default.
- W2048561657 created "2016-06-24" @default.
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- W2048561657 date "1973-04-01" @default.
- W2048561657 modified "2023-10-18" @default.
- W2048561657 title "Convexity of the bounds induced by Markov's inequality" @default.
- W2048561657 cites W2005804192 @default.
- W2048561657 doi "https://doi.org/10.1016/0304-4149(73)90009-4" @default.
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