Central Limit Theorems for Asymptotically Negatively Associated Random Fields

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Cite
Zhang, Lixin. “Central Limit Theorems for Asymptotically Negatively Associated Random Fields”. Acta Mathematica Sinica, English Series, vol. 16, no. 4, 2000, pp. 691-10, https://doi.org/10.1007/s101140000084.
Zhang, L. (2000). Central Limit Theorems for Asymptotically Negatively Associated Random Fields. Acta Mathematica Sinica, English Series, 16(4), 691-710. https://doi.org/10.1007/s101140000084
Zhang, Lixin. “Central Limit Theorems for Asymptotically Negatively Associated Random Fields”. Acta Mathematica Sinica, English Series 16, no. 4 (2000): 691-710. https://doi.org/10.1007/s101140000084.
1.
Zhang L. Central Limit Theorems for Asymptotically Negatively Associated Random Fields. Acta Mathematica Sinica, English Series. 2000;16(4):691-710.
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Refrences
Title Journal Journal Categories Citations Publication Date
10.1023/A:1006720512467 Acta Mathematica Hungarica
  • Science: Mathematics
2000
10.1007/BF02874436 1997
10.1007/BF02214083 Journal of Theoretical Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1996
Asymptotic Normality of Random Fields of Positively or Negatively Associated Processes Journal of Multivariate Analysis
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Social Sciences: Commerce: Business: Accounting. Bookkeeping
  • Social Sciences: Finance
  • Science: Mathematics
71 1994
Equivalent Mixing Conditions for Random Fields The Annals of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
34 1993
Refrences Analysis
The category Science: Mathematics 11 is the most frequently represented among the references in this article. It primarily includes studies from The Annals of Probability and Stochastic Processes and their 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
Limit Theorems for Weighted Sums of Asymptotically Negatively Associated Random Variables Under Some General Conditions

Mathematica Slovaca
  • Science: Mathematics
2023
The asymptotic properties for the estimators in a semiparametric regression model based on m-asymptotic negatively associated errors

Filomat
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
The central limit theorem for ANA sequences and its application to nonparametric regression models Journal of Statistical Computation and Simulation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2022
On convergence properties for weighted sums of coordinatewise ANA random vectors in Hilbert spaces Communications in Statistics - Theory and Methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2022
Convergence of asymptotically negatively associated random variables with random coefficients Communications in Statistics - Theory and Methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2022
Citations Analysis
The category Science: Mathematics 32 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Inequalities of Maximum of Partial Sums and Weak Convergence for a Class of Weak Dependent Random Variables and was published in 2005. The most recent citation comes from a 2023 study titled The asymptotic properties for the estimators in a semiparametric regression model based on m-asymptotic negatively associated errors. This article reached its peak citation in 2018, with 7 citations. It has been cited in 21 different journals, 9% of which are open access. Among related journals, the Journal of Inequalities and Applications cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year