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math.PR2020
Hardy's Inequality and Its Descendants
Chris A. J. Klaassen, Jon A. Wellner
We formulate and prove a generalization of Hardy's inequality (Hardy,1925) in terms of random variables and show that it contains the usual (or familiar) continuous and discrete fo…
math.ST2020★ 1 cited
Bi--Concave Distributions
Nilanjana Laha, Zhen Miao, Jon A. Wellner
We introduce new shape-constrained classes of distribution functions on R, the bi--concave classes. In parallel to results of Dümbgen, Kolesnyk, and Wilke (2017) for what they…