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On the anti-concentration functions of some familiar families of distributions

• Authors : Hu, Ze-Chun; Song, Renming; Tan, Yuan

Subjects: Mathematics - Probability

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Concentration functions and entropy bounds for discrete log-concave distributions

• Authors : Bobkov, Sergey G.; Marsiglietti, Arnaud; Melbourne, James

Subjects: Mathematics - Probability

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Bounds for the concentration functions of random sums under relaxed moment conditions

• Authors : Korolev, V. Yu.; Dorofeeva, A. V.

Subjects: Mathematics - Probability

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Arak Inequalities for Concentration Functions and the Littlewood--Offord Problem: a shortened version

• Authors : Eliseeva, Yulia S.; Götze, Friedrich; Zaitsev, Andrei Yu.

Subjects: Mathematics - Probability

• Source: Doklady Mathematics, 2016, Vol. 93, No. 2, pp. 202-206. Original Russian Text: in Doklady Akademii Nauk, 2016, Vol. 467, No. 5, pp. 514-518

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Arak Inequalities for Concentration Functions and the Littlewood-Offord Problem

• Authors : Eliseeva, Yulia S.; Götze, Friedrich; Zaitsev, Andrei Yu.

Subjects: Mathematics - Probability; Primary 60F05, secondary 60E15, 60G50

• Source: (Russian) Teor. Veroyatn. Primen. 62 (2017), no. 2, 241-266; translation in Theory Probab. Appl. 62 (2018), no. 2, 196=215

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A multiplicative inequality for concentration functions of $n$-fold convolutions

• Authors : Götze, F.; Zaitsev, A. Yu.

Subjects: Mathematics - Probability; 60F05

• Source: High dimensional probability II, Progress in Probability, vol. 47, eds. E. Gin\'e, D. Mason, J. Wellner, Birkh\"auser, Boston-Basel-Berlin, 2000, 39--47

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A note on concentration functions on transformation groups

• Authors : Kalantar, Mehrdad; Moakhar, Mohammad S. M.

Subjects: Mathematics - Dynamical Systems

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Estimates for the concentration functions in the Littlewood--Offord problem

• Authors : Eliseeva, Yulia S.; Götze, Friedrich; Zaitsev, Andrei Yu.

Subjects: Mathematics - Probability; Primary 60F05, secondary 60E15, 60G50

• Source: Zapiski Nauchnykh Seminarov POMI, 2013, vol. 420, p. 50-69, English translation in: J. Math. Sci. (N. Y.), 206:2 (2015), 146-158

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Multivariate estimates for the concentration functions of weighted sums of independent identically distributed random variables

• Authors : Eliseeva, Yu. S.

Subjects: Mathematics - Probability

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A single diffractive optical element for implementing spectrum-splitting and beam-concentration functions simultaneously with high diffraction efficiency

• Authors : Ye, Jia-Sheng; Wang, Jin-Ze; Huang, Qing-Li

Subjects: Physics - Optics

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