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Limit theorems for dependent random variables with infinite means

  • Published:2022-10 Issue: Volume:189 Page:109563
  • ISSN:0167-7152
  • Container-title:Statistics & Probability Letters
  • language:en
  • Short-container-title:Statistics & Probability Letters

Author:

Bernou Ismahen,Boukhari FakhreddineORCID

Funder

Direction Generale de la Recherche Scientifique et du Developpement Technologique

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference33 articles.

1. An exact weak law of large numbers;Adler;Bull. Inst. Math. Acad. Sin.,2012

2. Unusual limit theorems for the two tailed pareto distribution;Adler;Probab. Math. Stat.,2010

3. On exact strong laws of large numbers under general dependence conditions;Adler;Probab. Math. Stat.,2018

4. Regular Variation;Bingham,1987

5. The Marcinkiewics–Zygmund strong law of large numbers for dependent random variables;Boukhari;Statist. Probab. Lett.,2020

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complete convergence for the maximal partial sums without maximal inequalities;Quaestiones Mathematicae;2024-03-06

2. Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-12-22

3. New asymptotic results for generalized Oppenheim expansions;Acta Mathematica Hungarica;2023-04

4. A remark on the Kolmogorov–Feller weak law of large numbers;Proceedings - Mathematical Sciences;2022-09-17
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