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In this paper, we establish complete convergence results and a complete moment convergence result and prove the equivalence of them for weighted sums of ρ̃ -mixing random variables. Our results… Click to show full abstract
In this paper, we establish complete convergence results and a complete moment convergence result and prove the equivalence of them for weighted sums of ρ̃ -mixing random variables. Our results generalize and improve the results of Baum and Katz(1965) and Peligrad and Gut (1999). As an application, we obtain the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of ρ̃ -mixing random variables.
Keywords:
random variables;
complete moment;
weighted sums;
sums mixing;
mixing random;
convergence
Journal Title: Journal of Mathematical Inequalities
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Mathematical Inequalities
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!