A New Bound in the Littlewood–Offord Problem
Götze, Friedrich
Götze
Friedrich
Zaitsev, Andrei Yu.
Zaitsev
Andrei Yu.
The paper deals with studying a connection of the Littlewood–Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. It is shown that the concentration function of a weighted sum of independent identically distributed random variables is estimated in terms of the concentration function of a symmetric infinitely divisible distribution whose spectral measure is concentrated on the set of plus-minus weights.
10
10
MDPI
2022
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