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1

Lattice Point Problems and Distribution of Values of Quadratic Forms

V. Bentkus and F. Gotze

Journal:

Annals of Mathematics

Year:

1999

Language:

english

File:

PDF, 3.74 MB

english, 1999

2

A Berry–Esséen Bound for M-estimators

V. Bentkus, M. Bloznelis, F. Götze

Journal:

Scandinavian Journal of Statistics

Year:

1997

Language:

english

File:

PDF, 282 KB

english, 1997

3

Probabilities of large deviations for L-statistics

V. Bentkus, R. Zitikis

Journal:

Lithuanian Mathematical Journal

Year:

1990

Language:

english

File:

PDF, 408 KB

english, 1990

4

Addendum to “An extension of an inequality of Hoeffding to unbounded random variables”: The non-i.i.d. case

Journal:

Lithuanian Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 383 KB

english, 2008

5

Optimal Error Estimates in Operator-Norm Approximations of Semigroups

V. Bentkus, V. Paulauskas

Journal:

Letters in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 74 KB

english, 2004

6

Approximation of Quadratic Forms of Independent Random Vectors by Accompanying Laws

Bentkus, V., Götze, F., Zaitsev, A. Yu.

Journal:

Theory of Probability & Its Applications

Year:

1998

Language:

english

File:

PDF, 428 KB

english, 1998

7

On Hoeffding's Inequalities

Vidmantas Bentkus

Journal:

The Annals of Probability

Year:

2004

Language:

english

File:

PDF, 2.03 MB

english, 2004

8

Optimal Rates of Convergence in the CLT for Quadratic Forms

V. Bentkus and F. Gotze

Journal:

The Annals of Probability

Year:

1996

Language:

english

File:

PDF, 1.39 MB

english, 1996

9

Theorems of large deviations in the multivariate invariance principle

Vidmantas Bentkus

Journal:

Journal of Multivariate Analysis

Year:

1992

Language:

english

File:

PDF, 834 KB

english, 1992

10

On the dependence of the Berry–Esseen bound on dimension

Journal:

Journal of Statistical Planning and Inference

Year:

2003

Language:

english

File:

PDF, 193 KB

english, 2003

11

Confidence bounds for a parameter

V. Bentkus, G. Pap, M. van Zuijlen

Journal:

Mathematical and Computer Modelling

Year:

2003

Language:

english

File:

PDF, 796 KB

english, 2003

12

Dependence of the Berry-Esseen estimate on the dimension

Journal:

Lithuanian Mathematical Journal

Year:

1986

Language:

english

File:

PDF, 441 KB

english, 1986

13

Distribution of the norm of a stable random vector of a hilbert space

V. Bentkus, D. Pap

Journal:

Lithuanian Mathematical Journal

Year:

1986

Language:

english

File:

PDF, 544 KB

english, 1986

14

Asymptotics of minimax mean-square risk of statistical estimators of spectral density in the space L2

Journal:

Lithuanian Mathematical Journal

Year:

1985

Language:

english

File:

PDF, 785 KB

english, 1985

15

Asymptotic expansions in the local limit theorem in a Hilbert space

Journal:

Lithuanian Mathematical Journal

Year:

1985

Language:

english

File:

PDF, 603 KB

english, 1985

16

Differentiable functions defined in the spaces coand Rk

Journal:

Lithuanian Mathematical Journal

Year:

1983

Language:

english

File:

PDF, 582 KB

english, 1983

17

Optimal statistical estimates of a distribution density in the presence of a priori information

R. Bentkus, A. Kazbaras

Journal:

Lithuanian Mathematical Journal

Year:

1982

Language:

english

File:

PDF, 547 KB

english, 1982

18

Nonuniform estimate of the rate of convergence in the CLT with stable limit distribution

V. Bentkus, M. Bloznelis

Journal:

Lithuanian Mathematical Journal

Year:

1989

Language:

english

File:

PDF, 561 KB

english, 1989

19

Rate of convergence in the invariance principle in Banach spaces

V. Yu. Bentkus, K. Liubinskas

Journal:

Lithuanian Mathematical Journal

Year:

1987

Language:

english

File:

PDF, 666 KB

english, 1987

20

Estimates of the rate of convergence of sums of independent random variables in a banach space. II

V. Bentkus, A. Račkauskas

Journal:

Lithuanian Mathematical Journal

Year:

1982

Language:

english

File:

PDF, 575 KB

english, 1982

21

Rate of uniform convergence of statistical estimators of spectral density in spaces of differentiable functions

Journal:

Lithuanian Mathematical Journal

Year:

1985

Language:

english

File:

PDF, 679 KB

english, 1985

22

Asymptotic expansions with nonuniform remainders in the central limit theorem in Hilbert space

V. Bentkus, B. Zalesskii

Journal:

Lithuanian Mathematical Journal

Year:

1985

Language:

english

File:

PDF, 719 KB

english, 1985

23

Optimal statistical estimators of spectral density in L2

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 827 KB

english, 1984

24

Asymptotic expansions in the central limit theorem in Hilbert space

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 962 KB

english, 1984

25

Lower bounds for the rate of convergence in the central limit theorem in Banach spaces

Journal:

Lithuanian Mathematical Journal

Year:

1985

Language:

english

File:

PDF, 638 KB

english, 1985

26

Cumulants of estimates of the spectrum of a stationary time series

Journal:

Lithuanian Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 926 KB

english, 1976

27

Large deviations for the spectral estimate of a stationary Gaussian sequence

R. Bentkus, R. Rudzkis

Journal:

Lithuanian Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 551 KB

english, 1976

28

Cumulants of polylinear forms of a stationary sequence

Journal:

Lithuanian Mathematical Journal

Year:

1977

Language:

english

File:

PDF, 931 KB

english, 1977

29

Estimates of the proximity of sums of independent random elements in the space c[0, 1]

Journal:

Lithuanian Mathematical Journal

Year:

1983

Language:

english

File:

PDF, 485 KB

english, 1983

30

Rate of convergence in the central limit theorem for Gaussian mixtures in infinite-dimensional spaces

V. Bentkus, V. Paulauskas

Journal:

Lithuanian Mathematical Journal

Year:

1983

Language:

english

File:

PDF, 644 KB

english, 1983

31

Asymptotes of estimates of spectral functions of stationary Gaussian sequences

R. Antoszewski, R. Bentkus

Journal:

Lithuanian Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 664 KB

english, 1976

32

Asymptotic expansions for distributions of sums of independent random elements of a Hilbert space

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 1.03 MB

english, 1984

33

Exponential inequalities for estimates of the spectrum of a stationary Gaussian time series

R. Bentkus, R. Rudzkis, V. Statulevičius

Journal:

Lithuanian Mathematical Journal

Year:

1975

Language:

english

File:

PDF, 477 KB

english, 1975

34

Rate of convergence in the central limit theorem in infinite-dimensional spaces

V. Bentkus, A. Račkauskas

Journal:

Lithuanian Mathematical Journal

Year:

1981

Language:

english

File:

PDF, 506 KB

english, 1981

35

Asymptotics of the remainder term in the central limit theorem in a hilbert space

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 374 KB

english, 1984

36

Lower bounds for the sharpness of a normal approximation in banach spaces

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 357 KB

english, 1984

37

Asymptotics of moments in the central limit theorem in Banach spaces

Journal:

Lithuanian Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 729 KB

english, 1984

38

The invertibility of elliptic operators with constant coefficients acting on generalized measures in an infinite-dimensional space

Journal:

Lithuanian Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 406 KB

english, 1976

39

Melipticity of the infinite-dimensional iterated laplace operator. I

Journal:

Lithuanian Mathematical Journal

Year:

1979

Language:

english

File:

PDF, 663 KB

english, 1979

40

Ellipticity of the infinite-dimensional iterated Laplace operator. II

Journal:

Lithuanian Mathematical Journal

Year:

1980

Language:

english

File:

PDF, 454 KB

english, 1980

41

Convergence rates of moments and related functionals in the invariance principle in Banach spaces

V. Bentkus, K. Liubinskas

Journal:

Lithuanian Mathematical Journal

Year:

1991

Language:

english

File:

PDF, 728 KB

english, 1991

42

Smooth approximations of the norm and differentiable functions with bounded support in banach spacel∞k

Journal:

Lithuanian Mathematical Journal

Year:

1990

Language:

english

File:

PDF, 368 KB

english, 1990

43

Asymptotic expansions for moments in the central limit theorem in banach spaces

Journal:

Lithuanian Mathematical Journal

Year:

1986

Language:

english

File:

PDF, 827 KB

english, 1986

44

Estimates of the proximity of a distribution to the normal law

V. Bentkus, K. Kirsa

Journal:

Lithuanian Mathematical Journal

Year:

1989

Language:

english

File:

PDF, 866 KB

english, 1989

45

Statistical estimation of multidimensional parameter of spectral density. II

R. Bentkus, R. Maliukevicius

Journal:

Lithuanian Mathematical Journal

Year:

1988

Language:

english

File:

PDF, 613 KB

english, 1988

46

Remark on the Cramer-von Mises-Smirnov criterion

V. Bentkus, R. Zitikis

Journal:

Lithuanian Mathematical Journal

Year:

1988

Language:

english

File:

PDF, 353 KB

english, 1988

47

Fundamental solution of an infinite-dimensional iterated Laplace operator

Journal:

Lithuanian Mathematical Journal

Year:

1977

Language:

english

File:

PDF, 712 KB

english, 1977

48

Classes of self-similar random fields

V. Bentkus, D. Surgailis

Journal:

Lithuanian Mathematical Journal

Year:

1981

Language:

english

File:

PDF, 739 KB

english, 1981

49

The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space

Journal:

Mathematical Notes

Year:

1976

Language:

english

File:

PDF, 349 KB

english, 1976

50

The Fourier transformation of functions defined on a Hilbert space

Journal:

Mathematical Notes

Year:

1973

Language:

english

File:

PDF, 119 KB

english, 1973