The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables

By Yiqing Chen, Anyue Chen, Kai Wang Ng. Journal of Applied Probability, 2010

125 citations recorded by the source corpus.

Subfields: Demography, Finance, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/5deebf14fa4786d2f65e9ab5532b4860c83168e8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Demography

1. Aiting Shen
2. Shuhe Hu
3. Xuejun Wang
4. Chen Xu
5. Tien-Chung Hu
6. Andrei Volodin

In Finance

1. Aiting Shen
2. Shuhe Hu
3. Xuejun Wang
4. Chen Xu
5. Andrei Volodin
6. Tien-Chung Hu

In Management Science and Operations Research

1. Aiting Shen
2. Shuhe Hu
3. Xuejun Wang
4. Andrei Volodin
5. Chen Xu
6. Mei Yao
7. Wenjuan Wang
8. Tien-Chung Hu

Citations in the corpus

• Strong limit theorems for extended independent and extended negatively dependent random variables under non-linear expectations (2016, unknown): “V ( Ik ≥ (1 + ǫ)(2)ank ) ≤ exp { − (1 + ǫ) 4a2nk 2 ( o(nk) + ∑nk i=1 Ê[|Yi − Ê[Yi]|2] ) ( 1 + 2 3 ln(1 + o(1)) )} .”
• Complete convergence and complete moment convergence for arrays of rowwise END random variables (2014, unknown): “Since the article of Liu ([11]) appeared, Chen et al. ([2]), Wu and Guan ([14]) and Qiu et al. ([12]) studied the convergence properties for END random variables.”
• Exponential probability inequalities for WNOD random variables and their applications (2016, background): “[3], Shen [17], Wang and Chen [34], Wang and Wang [24], Wang et al.”
• On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models (2014, background): “The concept of general extended negative dependence was proposed by Liu (2009), Liu (2010) and further promoted by Chen et al. (2010), Chen et al. (2011), Shen (2011), Shen (2013a), Wang and Cheng (2011), Wang and Wang (2012), and so forth.”
• Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models (2013, unknown): “[33, 34], Shen [35],Wang andChen [18], S.”
• Complete convergence for weighted sums of END random variables and its application to nonparametric regression models (2016, background): “For more details about END random variables, one can refer to Chen, Chen, and Ng (2010), Shen (2011), Wu and Guan (2012), Wang and Wang (2013), Qiu, Chen, Antonini, and Volodin (2013), Wang, Hu, Volodin, and Hu (2013a), Wang, Wang, Hu, Ling, and Wei (2013b), Wang, Zheng, Xu, and Hu (2015), Hu,…”