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Inequalities for m-Divisible Distributions and Testing of Infinite Divisibility
Lev B. Klebanov, Ashot V. Kakosyan, Irina V. Volchenkova
We state some inequalities for m-divisible and infinite divisible characteristic functions. Basing on them we propose a statistical test for a distribution to be infinitely divisib…
A new convexity-based inequality, characterization of probability distributions and some free-of-distribution tests
Lev B. Klebanov, Irina V. Volchenkova
A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Eq…
A new definition of random sets
Vesna Gotovac, Kateřina Helisova, Lev B. Klebanov +1
A new definition of random sets is proposed. It is based on the distance in measurable space and uses negative definite kernels for continuation from initial space to that of rando…