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math.PR2018
The asymptotics of purely atomic one-dimensional Levy approximations
Arno Berger, Chuang Xu
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions are presented that characterize best purely atomic approximations relative to the cla…
math.PR2018
Best finite approximations of Benford's Law
Arno Berger, Chuang Xu
For arbitrary Borel probability measures with compact support on the real line, characterizations are established of the best finitely supported approximations, relative to three f…