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Sharp Inequalities of Bienaymé-Chebyshev and GaußType for Possibly Asymmetric Intervals around the Mean
Roxana A. Ion, Chris A. J. Klaassen, Edwin R. van den Heuvel
Gauß(1823) proved a sharp upper bound on the probability that a random variable falls outside a symmetric interval around zero when its distribution is unimodal with mode at zero.…
math.PR2022
Probability Theoretic Generalizations of Hardy's and Copson's Inequality
Chris A. J. Klaassen
A short proof of the classic Hardy inequality is presented for -norms with . Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy…