Complete convergence and complete moment convergence for martingale difference sequence

Article Properties
Cite
Wang, Xue Jun, and Shu He Hu. “Complete Convergence and Complete Moment Convergence for Martingale Difference Sequence”. Acta Mathematica Sinica, English Series, vol. 30, no. 1, 2013, pp. 119-32, https://doi.org/10.1007/s10114-013-2243-8.
Wang, X. J., & Hu, S. H. (2013). Complete convergence and complete moment convergence for martingale difference sequence. Acta Mathematica Sinica, English Series, 30(1), 119-132. https://doi.org/10.1007/s10114-013-2243-8
Wang, Xue Jun, and Shu He Hu. “Complete Convergence and Complete Moment Convergence for Martingale Difference Sequence”. Acta Mathematica Sinica, English Series 30, no. 1 (2013): 119-32. https://doi.org/10.1007/s10114-013-2243-8.
1.
Wang XJ, Hu SH. Complete convergence and complete moment convergence for martingale difference sequence. Acta Mathematica Sinica, English Series. 2013;30(1):119-32.
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Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
A note on the rate of convergence in the strong law of large numbers for martingales Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
22 2011
Baum–Katz–Nagaev type results for martingales Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
26 2007
10.1023/A:1022646429754 Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1998
10.1007/BF01045165 Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1990
10.1090/S0002-9947-1965-0198524-1 Transactions of the American Mathematical Society
  • Science: Mathematics
1965
Refrences Analysis
The category Science: Mathematics 5 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Theoretical Probability and Journal of Mathematical Analysis and Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Some strong convergence properties for randomly weighted maximum partial sums of END random variables with statistical applications Journal of Statistical Computation and Simulation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2024
Some Convergence Properties for Weighted Sums of Martingale Difference Random Vectors Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Complete Convergence of Weighted Sums of Martingale Differences and Statistical Applications Bulletin of the Malaysian Mathematical Sciences Society
  • Science: Mathematics
1 2023
Complete convergence theorems for moving average process generated by independent random variables under sub-linear expectations Communications in Statistics - Theory and Methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2023
Complete f -moment convergence for randomly weighted sums of extended negatively dependent random variables Communications in Statistics - Theory and Methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 35 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Complete Convergence Theorems for Extended Negatively Dependent Random Variables and was published in 2014. The most recent citation comes from a 2024 study titled Some strong convergence properties for randomly weighted maximum partial sums of END random variables with statistical applications. This article reached its peak citation in 2017, with 9 citations. It has been cited in 15 different journals, 13% of which are open access. Among related journals, the Communications in Statistics - Theory and Methods cited this research the most, with 11 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year