Complete moment convergence for sequence of identically distributed \(\varphi \)-mixing random variables

DOI10.1007/s10114-010-7625-6zbMath1205.60062OpenAlexW2080262395MaRDI QIDQ966550

Ding Cheng Wang, Ping Yan Chen

Publication date: 23 April 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7625-6

zbMATH Keywords

complete convergencecomplete moment convergence\(\varphi \)-mixing

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

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Complete moment convergence for product sums of sequence of extended negatively dependent random variables, Almost sure convergence for weighted sums of φ-mixing random variables with applications, Complete moment convergence forweighted sums of pairwise negatively quadrant dependent random variables, Complete \(q\)th moment convergence for arrays of random variables, Complete moment convergence for ND random variables under the sub-linear expectations, Equivalent conditions of complete convergence and complete moment convergence for END random variables, On complete moment convergence for weighted sums of negatively superadditive dependent random variables., Complete moment convergence for arrays of rowwise \(\mathbf{\varphi}\)-mixing random variables, Complete moment convergence for negatively dependent sequences of random variables, Complete and complete moment convergence with applications to the EV regression models, Complete moment convergence of weighted sums for processes under asymptotically almost negatively associated assumptions, Complete moment convergence for maximal partial sums under NOD setup, Complete and complete moment convergence for i.i.d. random variables under exponential moment conditions, Complete moment convergence of extended negatively dependent random variables

Cites Work

• Convergence rates for probabilities of moderate deviations for moving average processes
• On complete convergence in the law of large numbers for subsequences
• Convergence rates and r-quick versions of the strong law for stationary mixing sequences
• The characterization of equilibrium potentials and last exit distributions for elliptic diffusion processes
• On the moment convergence rates of LIL in Hilbert space
• Precise rates in the law of iterated logarithm for the moment of i.i.d. random variables
• Refinement of convergence rates for tail probabilities
• On Complete Convergence in Mean of Normed Sums of Independent Random Elements in Banach Spaces
• Complete Moment Convergence for Sequences of Independent Random Elements in Banach Spaces
• Convergence Rates in the Law of Large Numbers
• The Probability in the Tail of a Distribution
• Complete Convergence and the Law of Large Numbers
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