Arbeitspapier
On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables
We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions. Consequently, we get the result for many dependent structure, such as END, -mixing, -mixing and -mixing, etc.
- Language
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Englisch
- Bibliographic citation
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Series: IRTG 1792 Discussion Paper ; No. 2018-041
- Classification
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Wirtschaft
Mathematical and Quantitative Methods: General
- Subject
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Complete convergence
Marcinkiewicz-Zygmund type SLLN
Extended negatively dependent
Mixing dependency
Weakly mean bounded
- Event
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Geistige Schöpfung
- (who)
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Kuczmaszewska, Anna
Yan, Ji Gao
- Event
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Veröffentlichung
- (who)
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Humboldt-Universität zu Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series"
- (where)
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Berlin
- (when)
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2018
- Handle
- Last update
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10.03.2025, 11:44 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Kuczmaszewska, Anna
- Yan, Ji Gao
- Humboldt-Universität zu Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series"
Time of origin
- 2018
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Complete convergence and complete moment convergence for negatively associated sequences of random variables
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
Complete moment convergence of extended negatively dependent random variables
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Some exponential inequalities for acceptable random variables and complete convergence
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Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations
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Complete convergence for weighted sums of widely orthant-dependent random variables
Salem–Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices
Equivalent conditions of complete moment convergence for extended negatively dependent random variables
On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and its Applications
Complete convergence and complete moment convergence for negatively associated sequences of random variables
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
Complete moment convergence of extended negatively dependent random variables
On complete moment convergence for nonstationary negatively associated random variables
Some exponential inequalities for acceptable random variables and complete convergence
Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables
Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations
On complete convergence and complete moment convergence for weighted sums of ρ∗ $\rho^*}$-mixing random variables
Complete convergence for weighted sums of widely orthant-dependent random variables
Salem–Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices