Journal of Inequalities and Applications, ISSN 1025-5834, 2018, Volume 2018, Issue 1, pp. 1 - 16

...>rp, we provide moment conditions under which ∑n=1∞nr−2P{max1≤m≤n|∑k=1mankXk|>εn1/p}<∞,∀ε>0. We also provide moment conditions...

mixing random variables | Complete moment convergence | Weighted sum | Complete convergence | Generalized method of moments | Random variables | Convergence

mixing random variables | Complete moment convergence | Weighted sum | Complete convergence | Generalized method of moments | Random variables | Convergence

Journal Article

Communications in Statistics - Theory and Methods, ISSN 0361-0926, 02/2017, Volume 46, Issue 4, pp. 1731 - 1743

... of the Cesàro mean convergence theorem are given. Second, we introduce two classes of complete moment convergence, which are stronger versions of mean convergence and consider the Toeplitz lemma...

Cesàro mean convergence theorem | Kronecker lemma | complete convergence | Toeplitz lemma | complete moment convergence | 60F25 | LAW | SEQUENCES | STATISTICS & PROBABILITY | INDEPENDENT RANDOM ELEMENTS | RANDOM-VARIABLES | WEIGHTED SUMS | RATES | MOVING-AVERAGE PROCESSES | Cesaro mean convergence theorem | 40A05 | PRECISE ASYMPTOTICS | 60F05 | 60F15 | BAUM-KATZ THEOREM | Theorems | Statistical methods | Statistics | Convergence

Cesàro mean convergence theorem | Kronecker lemma | complete convergence | Toeplitz lemma | complete moment convergence | 60F25 | LAW | SEQUENCES | STATISTICS & PROBABILITY | INDEPENDENT RANDOM ELEMENTS | RANDOM-VARIABLES | WEIGHTED SUMS | RATES | MOVING-AVERAGE PROCESSES | Cesaro mean convergence theorem | 40A05 | PRECISE ASYMPTOTICS | 60F05 | 60F15 | BAUM-KATZ THEOREM | Theorems | Statistical methods | Statistics | Convergence

Journal Article

Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 4, pp. 1447 - 1453

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2016, Volume 2016, Issue 1, pp. 1 - 10

In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with E X = 0 $\mathbb{E...

complete convergence | complete moment convergence | Analysis | Mathematics, general | negatively associated random variables | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Texts | Theorems | Random variables | Formulas (mathematics) | Inequalities | Convergence

complete convergence | complete moment convergence | Analysis | Mathematics, general | negatively associated random variables | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Texts | Theorems | Random variables | Formulas (mathematics) | Inequalities | Convergence

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 16

In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence...

Randomly weighted sums | Complete moment convergence | Complete convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Martingale difference sequence | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | LARGE NUMBERS | STRONG LAW | RANDOM-VARIABLES | Martingales | Sums | Convergence | Research

Randomly weighted sums | Complete moment convergence | Complete convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Martingale difference sequence | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | LARGE NUMBERS | STRONG LAW | RANDOM-VARIABLES | Martingales | Sums | Convergence | Research

Journal Article

FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 1, pp. 81 - 92

In this article, the authors investigate the complete convergence and complete moment convergence of the maximum partial sums for arrays of rowwise asymptotically almost negatively associated random...

MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | complete moment convergence | PARTIAL-SUMS | STRONG LAW | arrays of rowwise asymptotically almost negatively associated random variables | AANA

MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | complete moment convergence | PARTIAL-SUMS | STRONG LAW | arrays of rowwise asymptotically almost negatively associated random variables | AANA

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 14

In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END...

complete convergence | complete moment convergence | Analysis | sub-linear expectation space | Mathematics, general | Mathematics | Applications of Mathematics | END random variables | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | LAWS | G-BROWNIAN MOTION | INEQUALITIES | STOCHASTIC CALCULUS | ITERATED LOGARITHM | Random variables | Dependent variables | Sums | Convergence | Research

complete convergence | complete moment convergence | Analysis | sub-linear expectation space | Mathematics, general | Mathematics | Applications of Mathematics | END random variables | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | LAWS | G-BROWNIAN MOTION | INEQUALITIES | STOCHASTIC CALCULUS | ITERATED LOGARITHM | Random variables | Dependent variables | Sums | Convergence | Research

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2017, Volume 54, Issue 3, pp. 877 - 896

In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated...

Complete moment convergence | Rosenthal type inequality | Complete convergence | Stochastic domination | MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | LAW | stochastic domination | complete moment convergence | SUMS

Complete moment convergence | Rosenthal type inequality | Complete convergence | Stochastic domination | MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | LAW | stochastic domination | complete moment convergence | SUMS

Journal Article

Stochastics, ISSN 1744-2508, 05/2016, Volume 88, Issue 4, pp. 606 - 621

In this paper, the complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, in short...

Negatively superadditive dependent random variables | complete moment convergence | complete convergence | DEPENDENT RANDOM-VARIABLES | MATHEMATICS, APPLIED | INEQUALITIES | STATISTICS & PROBABILITY | SUMS | Randomness | Paper | Random variables | Arrays | Probability theory | Convergence

Negatively superadditive dependent random variables | complete moment convergence | complete convergence | DEPENDENT RANDOM-VARIABLES | MATHEMATICS, APPLIED | INEQUALITIES | STATISTICS & PROBABILITY | SUMS | Randomness | Paper | Random variables | Arrays | Probability theory | Convergence

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 13

In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables...

weighted sums | complete convergence | complete moment convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | arrays of rowwise ANA random variables | MATHEMATICS | MATHEMATICS, APPLIED | MAXIMUM | THEOREM | RANDOM-FIELDS | Random variables | Arrays | Asymptotic properties | Inequalities | Convergence | Sums

weighted sums | complete convergence | complete moment convergence | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | arrays of rowwise ANA random variables | MATHEMATICS | MATHEMATICS, APPLIED | MAXIMUM | THEOREM | RANDOM-FIELDS | Random variables | Arrays | Asymptotic properties | Inequalities | Convergence | Sums

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 3/2016, Volume 110, Issue 1, pp. 97 - 120

In this paper, the equivalent conditions of complete moment convergence of the maximum partial weighted sums for negatively superadditive dependent (NSD...

Negatively superadditive dependent random variables | Complete moment convergence | Complete convergence | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | Weighted sums | 60F15 | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | INEQUALITIES | THEOREM | SURE CONVERGENCE | QUADRATIC-FORMS | ARRAYS | Paper | Random variables | Equivalence | Convergence | Sums

Negatively superadditive dependent random variables | Complete moment convergence | Complete convergence | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | Weighted sums | 60F15 | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | INEQUALITIES | THEOREM | SURE CONVERGENCE | QUADRATIC-FORMS | ARRAYS | Paper | Random variables | Equivalence | Convergence | Sums

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 5, pp. 1381 - 1394

.... In addition, the complete moment convergence for END random variables is obtained. Our results generalize and improve the corresponding ones of Wang et al. [18] and Baek...

Mathematical theorems | Mathematical constants | Mathematical inequalities | Mathematical moments | Random variables | Research universities | Universities | Complete moment convergence | Extended negatively dependent random variables | Complete convergence | Marcinkiewicz-Zygmund type inequality | WEIGHTED SUMS | MATHEMATICS | MATHEMATICS, APPLIED | PRECISE LARGE DEVIATIONS | complete moment convergence | extended negatively dependent random variables | ARRAYS

Mathematical theorems | Mathematical constants | Mathematical inequalities | Mathematical moments | Random variables | Research universities | Universities | Complete moment convergence | Extended negatively dependent random variables | Complete convergence | Marcinkiewicz-Zygmund type inequality | WEIGHTED SUMS | MATHEMATICS | MATHEMATICS, APPLIED | PRECISE LARGE DEVIATIONS | complete moment convergence | extended negatively dependent random variables | ARRAYS

Journal Article

Communications in Statistics - Theory and Methods, ISSN 0361-0926, 08/2016, Volume 45, Issue 15, pp. 4494 - 4508

In the article, the complete convergence and complete moment convergence for weighted sums of sequences of random variables satisfying a maximal Rosenthal type inequality are studied...

Rosenthal type maximal inequality | Complete moment convergence | Complete convergence | Marcinkiewicz-Zygmund type strong law of large numbers | Marcinkiewicz–Zygmund type strong law of large numbers | INEQUALITIES | STRONG LAWS | STATISTICS & PROBABILITY | STRONG LIMIT-THEOREMS | ARRAYS | 60F15 | Random variables | Statistics | Inequalities | Convergence | Sums

Rosenthal type maximal inequality | Complete moment convergence | Complete convergence | Marcinkiewicz-Zygmund type strong law of large numbers | Marcinkiewicz–Zygmund type strong law of large numbers | INEQUALITIES | STRONG LAWS | STATISTICS & PROBABILITY | STRONG LIMIT-THEOREMS | ARRAYS | 60F15 | Random variables | Statistics | Inequalities | Convergence | Sums

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 07/2018, Volume 138, pp. 104 - 110

...∞1n1+αE(max1≤k≤n‖Sk‖−ϵnα)+ and ∑n=1∞lognn1+αE(max1≤k≤n‖Sk‖−ϵnα)+, where Sk=∑i=1kXi and a+=max{a,0}. This investigation provides the complete moment convergence for the case...

Hilbert spaces | Coordinatewise asymptotically almost negatively associated random vectors | Complete moment convergence | LARGE NUMBERS | SEQUENCES | STATISTICS & PROBABILITY | STRONG LAW | AANA | RANDOM-VARIABLES

Hilbert spaces | Coordinatewise asymptotically almost negatively associated random vectors | Complete moment convergence | LARGE NUMBERS | SEQUENCES | STATISTICS & PROBABILITY | STRONG LAW | AANA | RANDOM-VARIABLES

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 14

The authors study the complete convergence and the complete moment convergence for weighted sums of m-negatively associated (m-NA...

62G05 | weighted sums | complete convergence | complete moment convergence | Analysis | m -negatively associated random variable | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | m-negatively associated random variable | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | STRONG LAWS | ARRAYS | Theorems | Random variables | Inequalities | Convergence | Sums

62G05 | weighted sums | complete convergence | complete moment convergence | Analysis | m -negatively associated random variable | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | m-negatively associated random variable | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | STRONG LAWS | ARRAYS | Theorems | Random variables | Inequalities | Convergence | Sums

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2019, Volume 2019, Issue 1, pp. 1 - 14

In this paper, we establish some results on the complete moment convergence for weighted sums of pairwise negatively quadrant dependent (PNQD) random variables...

Complete moment convergence | Analysis | Pairwise negatively quadrant dependent | Mathematics, general | Mathematics | Applications of Mathematics | Weighted sums | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | SURE CONVERGENCE | Dependent variables | Random variables | Convergence

Complete moment convergence | Analysis | Pairwise negatively quadrant dependent | Mathematics, general | Mathematics | Applications of Mathematics | Weighted sums | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | SURE CONVERGENCE | Dependent variables | Random variables | Convergence

Journal Article

Bulletin of the Korean Mathematical Society, ISSN 1015-8634, 2017, Volume 54, Issue 3, pp. 917 - 933

In this paper, seven equivalent conditions of complete moment convergence and complete integral convergence for negatively orthant dependent (NOD, in short...

Negatively orthant dependent sequence | Complete moment convergence | Complete convergence | Complete integral convergence | Stochastic domination | WEIGHTED SUMS | MATHEMATICS | RATES | complete convergence | negatively orthant dependent sequence | stochastic domination | complete moment convergence | complete integral convergence | ARRAYS | RANDOM-VARIABLES

Negatively orthant dependent sequence | Complete moment convergence | Complete convergence | Complete integral convergence | Stochastic domination | WEIGHTED SUMS | MATHEMATICS | RATES | complete convergence | negatively orthant dependent sequence | stochastic domination | complete moment convergence | complete integral convergence | ARRAYS | RANDOM-VARIABLES

Journal Article

18.
Full Text
On complete moment convergence for nonstationary negatively associated random variables

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 12

The purpose of this paper is to establish the complete moment convergence for nonstationary negatively associated random variables satisfying the weak mean domination condition...

weak mean domination | negative association | complete moment convergence | Analysis | nonstationary | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities | Random variables | Convergence

weak mean domination | negative association | complete moment convergence | Analysis | nonstationary | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | Inequalities | Random variables | Convergence

Journal Article

Stochastics and Dynamics, ISSN 0219-4937, 04/2017, Volume 17, Issue 2

Liu and Lin (Statist. Probab. Lett. 2006) introduced a kind of complete moment convergence which includes complete convergence as a special case...

precise asymptotics | Convergence rate | complete moment convergence | MARTINGALES | MULTIDIMENSIONAL INDEXES | LARGE NUMBERS | SERIES | STATISTICS & PROBABILITY | ITERATED LOGARITHM | RANDOM-VARIABLES | BAUM-KATZ | STRONG LAW | PROBABILITIES

precise asymptotics | Convergence rate | complete moment convergence | MARTINGALES | MULTIDIMENSIONAL INDEXES | LARGE NUMBERS | SERIES | STATISTICS & PROBABILITY | ITERATED LOGARITHM | RANDOM-VARIABLES | BAUM-KATZ | STRONG LAW | PROBABILITIES

Journal Article

数学学报：英文版, ISSN 1439-8516, 2014, Volume 30, Issue 9, pp. 1539 - 1548

In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions...

相依随机变量 | 完全收敛 | 加权和 | 收敛性 | 温和条件 | Mathematics, general | Mathematics | Widely orthant dependent random variables, extended negatively orthant dependent random variables, complete convergence, complete moment convergence | 60F15 | MATHEMATICS | extended negatively orthant dependent random variables | MATHEMATICS, APPLIED | complete convergence | SEQUENCES | complete moment convergence | THEOREMS | Widely orthant dependent random variables | INDEPENDENT RANDOM ELEMENTS | Studies | Theorems | Mathematical models | Random variables | Applied mathematics | Convergence | Sums

相依随机变量 | 完全收敛 | 加权和 | 收敛性 | 温和条件 | Mathematics, general | Mathematics | Widely orthant dependent random variables, extended negatively orthant dependent random variables, complete convergence, complete moment convergence | 60F15 | MATHEMATICS | extended negatively orthant dependent random variables | MATHEMATICS, APPLIED | complete convergence | SEQUENCES | complete moment convergence | THEOREMS | Widely orthant dependent random variables | INDEPENDENT RANDOM ELEMENTS | Studies | Theorems | Mathematical models | Random variables | Applied mathematics | Convergence | Sums

Journal Article

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