An improved multivariate version of Kolmogorov's second uniform limit theorem

Majorization of regular measures and weights with finite and positive critical exponent

Bakan, Andrew
Ruscheweyh, Stephan

March 2008

AbstractFor the sets Mp∗(R), 1⩽p<∞, of positive finite Borel measures μ on the real axis with the se...

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Mourrat, Jean-Christophe

May 2019

The article begins with a quantitative version of the martingale central limit theorem, in terms of ...

Comparison of sums of independent identically distributed random variables

Montgomery-Smith, Stephen, 1963-

January 2011

The final version of this paper appears in: "Probability and Mathematical Statistics" 14 (1993): 281...

Estimates for the closeness of convolutions of probability distributions on convex polyhedra

Götze, Friedrich
Zaitsev, Andrei Yu.

December 2018

The aim of the present work is to show that the results obtained earlier on the approximation of dis...

Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra

Götze, Friedrich
Zaitsev, Andrei Yu.

November 2021

The aim of the present work is to provide a supplement to the authors' paper (2018). It is shown tha...

A precise local limit theorem for the multinomial distribution and some applications

Ouimet, Frédéric

April 2021

In Siotani & Fujikoshi (1984), a precise local limit theorem for the multinomial distribution is der...

Simultaneous Diophantine approximation in the real, complex and p–adic fields

Budarina, Natalia
Dickinson, Detta
Bernik, Vasili

January 2010

In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...

Addendum to the paper of E. Manstavicius and M.N.N Timofeev "A functional limit theorem related to natural divisors"

Tenenbaum, Gérald

January 1997

contains corrections with respect to published version.We provide a simple proof of a result which g...

Statistical summability and approximation by de la Vallée-Poussin mean

Mursaleen, M.
Alotaibi, A.

March 2011

AbstractIn this paper we define a new type of summability method via statistical convergence by usin...

Approximation order of Kolmogorov diameters via $L^{q}$-spectra and applications to polyharmonic operators

Kesseböhmer, Marc
Niemann, Aljoscha

June 2022

We establish a connection between the $L^{q}$-spectrum of a Borel measure $\nu $ on the $m$-dimensio...

On lower limits and equivalences for distribution tails of randomly stopped sums

Denisov, Denis
Foss, S.
Korshunov, D.

January 2008

For a distribution F*τ of a random sum Sτ=ξ1+⋯+ξτ of i.i.d. random variables with a common distribut...

Gradient Estimates and Maximal Dissipativity for the Kolmogorov Operator in $\Phi^4_2$.

Da Prato , Giuseppe
Debussche, Arnaud

December 2019

We consider the transition semigroup Pt of the $Φ 4 2$ stochastic quantisation on the torus $T 2$ an...

Large Deviations and the Lukic Conjecture

Breuer, Jonathan
Simon, Barry
Zeitouni, Ofer

October 2018

We use the large deviation approach to sum rules pioneered by Gamboa, Nagel, and Rouault to prove hi...

A divergent Khintchine theorem in the real, complex, and p-adic fields

Bernik, Vasili
Budarina, Natalia
Dickinson, Detta

January 2008

In this paper, we show that if the sum ∑ r=1 ∞ Ψ(r) diverges, then the set of points (x, z, w) ∈ ℝ ×...

On the strong laws for weighted sums of ρ∗-mixing random variables,”

Xing-Cai Zhou
Chang-Chun Tan
Jin-Guan Lin

January 2011

Complete convergence is studied for linear statistics that are weighted sums of identically distribu...

Majorization of regular measures and weights with finite and positive critical exponent

Bakan, Andrew
Ruscheweyh, Stephan

March 2008

AbstractFor the sets Mp∗(R), 1⩽p<∞, of positive finite Borel measures μ on the real axis with the se...

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Mourrat, Jean-Christophe

May 2019

The article begins with a quantitative version of the martingale central limit theorem, in terms of ...

Comparison of sums of independent identically distributed random variables

Montgomery-Smith, Stephen, 1963-

January 2011

The final version of this paper appears in: "Probability and Mathematical Statistics" 14 (1993): 281...

Estimates for the closeness of convolutions of probability distributions on convex polyhedra

Götze, Friedrich
Zaitsev, Andrei Yu.

December 2018

The aim of the present work is to show that the results obtained earlier on the approximation of dis...

Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra

Götze, Friedrich
Zaitsev, Andrei Yu.

November 2021

The aim of the present work is to provide a supplement to the authors' paper (2018). It is shown tha...

A precise local limit theorem for the multinomial distribution and some applications

Ouimet, Frédéric

April 2021

In Siotani & Fujikoshi (1984), a precise local limit theorem for the multinomial distribution is der...

Simultaneous Diophantine approximation in the real, complex and p–adic fields

Budarina, Natalia
Dickinson, Detta
Bernik, Vasili

January 2010

In this paper it is shown that if the volume sum ∑r = 1∞ Ψ(r) converges for a monotonic function Ψ t...

Addendum to the paper of E. Manstavicius and M.N.N Timofeev "A functional limit theorem related to natural divisors"

Tenenbaum, Gérald

January 1997

contains corrections with respect to published version.We provide a simple proof of a result which g...

Statistical summability and approximation by de la Vallée-Poussin mean

Mursaleen, M.
Alotaibi, A.

March 2011

AbstractIn this paper we define a new type of summability method via statistical convergence by usin...

Approximation order of Kolmogorov diameters via $L^{q}$-spectra and applications to polyharmonic operators

Kesseböhmer, Marc
Niemann, Aljoscha

June 2022

We establish a connection between the $L^{q}$-spectrum of a Borel measure $\nu $ on the $m$-dimensio...

On lower limits and equivalences for distribution tails of randomly stopped sums

Denisov, Denis
Foss, S.
Korshunov, D.

January 2008

For a distribution F*τ of a random sum Sτ=ξ1+⋯+ξτ of i.i.d. random variables with a common distribut...

Gradient Estimates and Maximal Dissipativity for the Kolmogorov Operator in $\Phi^4_2$.

Da Prato , Giuseppe
Debussche, Arnaud

December 2019

We consider the transition semigroup Pt of the $Φ 4 2$ stochastic quantisation on the torus $T 2$ an...

Large Deviations and the Lukic Conjecture

Breuer, Jonathan
Simon, Barry
Zeitouni, Ofer

October 2018

We use the large deviation approach to sum rules pioneered by Gamboa, Nagel, and Rouault to prove hi...

A divergent Khintchine theorem in the real, complex, and p-adic fields

Bernik, Vasili
Budarina, Natalia
Dickinson, Detta

January 2008

In this paper, we show that if the sum ∑ r=1 ∞ Ψ(r) diverges, then the set of points (x, z, w) ∈ ℝ ×...

On the strong laws for weighted sums of ρ∗-mixing random variables,”

Xing-Cai Zhou
Chang-Chun Tan
Jin-Guan Lin

January 2011

Complete convergence is studied for linear statistics that are weighted sums of identically distribu...

Majorization of regular measures and weights with finite and positive critical exponent

Bakan, Andrew
Ruscheweyh, Stephan

March 2008

AbstractFor the sets Mp∗(R), 1⩽p<∞, of positive finite Borel measures μ on the real axis with the se...

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Mourrat, Jean-Christophe

May 2019

The article begins with a quantitative version of the martingale central limit theorem, in terms of ...

Comparison of sums of independent identically distributed random variables

Montgomery-Smith, Stephen, 1963-

January 2011

The final version of this paper appears in: "Probability and Mathematical Statistics" 14 (1993): 281...

An improved multivariate version of Kolmogorov's second uniform limit theorem

Abstract

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An improved multivariate version of Kolmogorov's second uniform limit theorem

Abstract

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