A multidimensional analogue of the Rademacher-Gaussian tail comparison

Piotr Nayar; Tomasz Tkocz

doi:10.1090/proc/13731

A multidimensional analogue of the Rademacher-Gaussian tail comparison

Proceedings of the American Mathematical Society ◽

10.1090/proc/13731 ◽

2017 ◽

Vol 146 (1) ◽

pp. 413-419

Author(s):

Piotr Nayar ◽

Tomasz Tkocz

Keyword(s):

Multidimensional Analogue

A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1111045 ◽

1966 ◽

Vol 11 (3) ◽

pp. 447-454 ◽

Cited By ~ 2

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Multidimensional Riemann problem with self-similar internal structure – part III – a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.038 ◽

2017 ◽

Vol 346 ◽

pp. 25-48 ◽

Cited By ~ 23

Author(s):

Dinshaw S. Balsara ◽

Boniface Nkonga

Keyword(s):

Internal Structure ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Multidimensional Analogue ◽

Self Similar

On a multidimensional analogue of the Schwarz example

Izvestiya Mathematics ◽

10.1070/im2012v076n04abeh002601 ◽

2012 ◽

Vol 76 (4) ◽

pp. 681-687 ◽

Cited By ~ 2

Author(s):

Vladimir A Klyachin

Keyword(s):

Multidimensional Analogue

Multidimensional analogue of Virasoro algebra and quantum higher-order water wave equation

International Journal of Theoretical Physics ◽

10.1007/bf00673721 ◽

1993 ◽

Vol 32 (2) ◽

pp. 347-351

Author(s):

P. Guha ◽

A. Roy Chowdhury

Keyword(s):

Wave Equation ◽

Water Wave ◽

Virasoro Algebra ◽

Higher Order ◽

Multidimensional Analogue

Addendum: A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1113021 ◽

1968 ◽

Vol 13 (1) ◽

pp. 192

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Certain algebras generated by the multidimensional analogue of the bitsadze operator

Siberian Mathematical Journal ◽

10.1007/bf00969333 ◽

1988 ◽

Vol 28 (5) ◽

pp. 847-849

Author(s):

V. B. Cherdak

Keyword(s):

Multidimensional Analogue

Multidimensional analogue of a theorem of Privalov

Sbornik Mathematics ◽

10.1070/sm1995v186n02abeh000015 ◽

1995 ◽

Vol 186 (2) ◽

pp. 257-269 ◽

Cited By ~ 2

Author(s):

V A Okulov

Keyword(s):

Multidimensional Analogue

Multidimensional analogue of Gusarov's theory of one-dimensional knots

Russian Mathematical Surveys ◽

10.1070/rm2008v063n01abeh004508 ◽

2008 ◽

Vol 63 (1) ◽

pp. 166-167

Author(s):

V M Nezhinskii

Keyword(s):

One Dimensional ◽

Multidimensional Analogue

Addendum: Multidimensional Analogue of Yu. V. Linnik’s Theorem on Decompositions of a Convolution of Gaussian and Poisson Laws

Theory of Probability and Its Applications ◽

10.1137/1112069 ◽

1967 ◽

Vol 12 (3) ◽

pp. 529-530

Author(s):

I. V. Ostrovskii

Keyword(s):

Multidimensional Analogue

Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue

Georgian Mathematical Journal ◽

10.1515/gmj.1997.579 ◽

1997 ◽

Vol 4 (6) ◽

pp. 579-584

Author(s):

T. Shervashidze

Keyword(s):

Random Vector ◽

Continuous Distribution ◽

Random Variables ◽

Upper Bounds ◽

Characteristic Functions ◽

Absolutely Continuous ◽

Multidimensional Analogue ◽

Trigonometric Integral

Abstract Using a multidimensional analogue of Vinogradov's inequality for a trigonometric integral, the upper bounds are constructed for the moduli of the characteristic functions both of the system of monomials in components of a random vector with an absolutely continuous distribution in and of the system (cos j 1πξ 1 . . . cos j s πξ s , 0 ≤ j 1, . . . , j s ≤ k, j 1 + . . . + j s ≥ 1), where (ξ 1, . . . , ξ s ) is uniformly distributed in [0; 1] s .