[1] |
Baum L E, Katz M. Convergence rates in the law of large numbers[J]. Transactions of the American Mathematical Society, 1965, 120: 108-123.
|
[2] |
Alam K, Saxena K M L. Positive dependence in multivariate distributions[J]. Communications in Statistics: Theory and Methods, 1981, 12: 1 183-1 196.
|
[3] |
Joag-Dev K, Proschan F. Negative association of random variables with applications[J]. The Annals of Statistics, 1983, 11: 286-295.
|
[4] |
Cai G H. Strong laws of weighted sums of NA random variables[J]. Metrika, 2008, 68: 323-331.
|
[5] |
Ling N X. The Bahadur representation for sample quantiles under negatively associated sequence[J]. Statistics and Probability Letters, 2008, 78: 2 660-2 663.
|
[6] |
Shao Q M. A comparison theorem on moment inequalities between negatively associated and independent random variables[J]. Journal Theoretical Probability, 2000, 13: 343-356.
|
[7] |
Liang H Y, Zhang J J. Strong convergence for weighted sums of negatively associated arrays[J]. Chinese Annals of Mathematics, Series B, 2010, 31(2): 273-288.
|
[8] |
Wu Q Y, Jiang Y Y. Chovers law of the iterated logarithm for negatively associated sequences[J]. Journal of Systems Science and Complexity, 2010, 23: 293-302.
|
[9] |
Wu Q Y, Jiang Y Y. A law of the iterated logarithm of partial sums for negatively associated random variables[J]. Journal of the Korean Statistical Society, 2010, 39: 199-206.
|
[10] |
Wang X J, Hu S H, Yang W Z. Some convergence results for arbitrary sequences under moment condition[J]. Chinese Quarterly Journal of Mathematics, 2011, 26 (4): 585-589.
|
[11] |
Wang Z Z. On strong law of large numbers for random sequence[J]. Chinese Quarterly Journal of Mathematics, 2010, 25 (4): 475-480.
|
[12] |
Shen A T. On strong convergence for weighted sums of a class of random variables[J]. Abstract and Applied Analysis, 2013, 2013: Article ID 216236.
|
[13] |
Shen A T. Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models[J]. Abstract and Applied Analysis, 2013, 2013: Article ID 862602.
|
[14] |
Shen A T, Wu R C. Some probability inequalities for a class of random variables and their applications[J]. Journal of Inequalities and Applications, 2013, 2013: 57.
|
[15] |
Yang S. Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples[J]. Statistics and Probability Letters, 2003, 2: 101-110.
|
[16] |
Matula P. A note on the almost sure convergence of sums of negatively dependent random variables[J]. Statistics and Probability Letters, 1992, 15: 209-213.
|
[17] |
吴群英. 混合序列的概率极限理论[M]. 北京: 科学出版社, 2006.
|
[18] |
Sung S H. On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions[J]. Statistics and Probability Letters, 2013, 83: 1 963-1 968.
|
[19] |
Wang X J, Li X Q, Hu S H, et al. Strong limit theorems for weighted sums of negatively associated random variables[J]. Stochastic Analysis and Applications, 2011, 29 (1): 1-14.
|
[1] |
Baum L E, Katz M. Convergence rates in the law of large numbers[J]. Transactions of the American Mathematical Society, 1965, 120: 108-123.
|
[2] |
Alam K, Saxena K M L. Positive dependence in multivariate distributions[J]. Communications in Statistics: Theory and Methods, 1981, 12: 1 183-1 196.
|
[3] |
Joag-Dev K, Proschan F. Negative association of random variables with applications[J]. The Annals of Statistics, 1983, 11: 286-295.
|
[4] |
Cai G H. Strong laws of weighted sums of NA random variables[J]. Metrika, 2008, 68: 323-331.
|
[5] |
Ling N X. The Bahadur representation for sample quantiles under negatively associated sequence[J]. Statistics and Probability Letters, 2008, 78: 2 660-2 663.
|
[6] |
Shao Q M. A comparison theorem on moment inequalities between negatively associated and independent random variables[J]. Journal Theoretical Probability, 2000, 13: 343-356.
|
[7] |
Liang H Y, Zhang J J. Strong convergence for weighted sums of negatively associated arrays[J]. Chinese Annals of Mathematics, Series B, 2010, 31(2): 273-288.
|
[8] |
Wu Q Y, Jiang Y Y. Chovers law of the iterated logarithm for negatively associated sequences[J]. Journal of Systems Science and Complexity, 2010, 23: 293-302.
|
[9] |
Wu Q Y, Jiang Y Y. A law of the iterated logarithm of partial sums for negatively associated random variables[J]. Journal of the Korean Statistical Society, 2010, 39: 199-206.
|
[10] |
Wang X J, Hu S H, Yang W Z. Some convergence results for arbitrary sequences under moment condition[J]. Chinese Quarterly Journal of Mathematics, 2011, 26 (4): 585-589.
|
[11] |
Wang Z Z. On strong law of large numbers for random sequence[J]. Chinese Quarterly Journal of Mathematics, 2010, 25 (4): 475-480.
|
[12] |
Shen A T. On strong convergence for weighted sums of a class of random variables[J]. Abstract and Applied Analysis, 2013, 2013: Article ID 216236.
|
[13] |
Shen A T. Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models[J]. Abstract and Applied Analysis, 2013, 2013: Article ID 862602.
|
[14] |
Shen A T, Wu R C. Some probability inequalities for a class of random variables and their applications[J]. Journal of Inequalities and Applications, 2013, 2013: 57.
|
[15] |
Yang S. Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples[J]. Statistics and Probability Letters, 2003, 2: 101-110.
|
[16] |
Matula P. A note on the almost sure convergence of sums of negatively dependent random variables[J]. Statistics and Probability Letters, 1992, 15: 209-213.
|
[17] |
吴群英. 混合序列的概率极限理论[M]. 北京: 科学出版社, 2006.
|
[18] |
Sung S H. On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions[J]. Statistics and Probability Letters, 2013, 83: 1 963-1 968.
|
[19] |
Wang X J, Li X Q, Hu S H, et al. Strong limit theorems for weighted sums of negatively associated random variables[J]. Stochastic Analysis and Applications, 2011, 29 (1): 1-14.
|