On the laws of the iterated logarithm under sub-linear expectations

Article Properties
Abstract
Cite
Zhang, Li-Xin. “On the Laws of the Iterated Logarithm under Sub-Linear Expectations”. Probability, Uncertainty and Quantitative Risk, vol. 6, no. 4, 2021, p. 409, https://doi.org/10.3934/puqr.2021020.
Zhang, L.-X. (2021). On the laws of the iterated logarithm under sub-linear expectations. Probability, Uncertainty and Quantitative Risk, 6(4), 409. https://doi.org/10.3934/puqr.2021020
Zhang, Li-Xin. “On the Laws of the Iterated Logarithm under Sub-Linear Expectations”. Probability, Uncertainty and Quantitative Risk 6, no. 4 (2021): 409. https://doi.org/10.3934/puqr.2021020.
Zhang LX. On the laws of the iterated logarithm under sub-linear expectations. Probability, Uncertainty and Quantitative Risk. 2021;6(4):409.
Journal Category
Science
Mathematics
Probabilities
Mathematical statistics
Refrences
Title Journal Journal Categories Citations Publication Date
The Convergence of the Sums of Independent Random Variables Under the Sub-linear Expectations Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 16 2020
Lindeberg’s central limit theorems for martingale like sequences under sub-linear expectations Science China Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 13 2020
Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm Science China Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 86 2016
10.1007/BF00320331
10.1007/BF00535343
Citations
Title Journal Journal Categories Citations Publication Date
Limit theorems for delayed sums under sublinear expectation Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
On the complete moment convergence of moving average processes generated by negatively dependent random variables under sub-linear expectations

 AIMS Mathematics 2024
The Sufficient and Necessary Conditions of the Strong Law of Large Numbers under Sub-linear Expectations Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Baum–Katz-type complete and complete moment convergence theorems for the maximum of partial sums under sub-linear expectations Statistics & Probability Letters
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 1 2023
Further results on laws of large numbers for the array of random variables under sub-linear expectation Communications in Statistics - Theory and Methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics6
Science: Mathematics: Probabilities. Mathematical statistics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
The category Science: Mathematics 6 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The moments of the maximum of normalized partial sums related to laws of the iterated logarithm under the sub-linear expectation and was published in 2022. The most recent citation comes from a 2024 study titled Limit theorems for delayed sums under sublinear expectation. This article reached its peak citation in 2023, with 7 citations. It has been cited in 8 different journals. Among related journals, the AIMS Mathematics cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year