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In this paper, we present the $$L_p$$Lp convergence for partial sums $$S_n=\sum _{k=1}^nX_k$$Sn=∑k=1nXk under the Cesàro uniform integrability condition and the complete convergence for the maximum of $$S_n$$Sn for sequences… Click to show full abstract
In this paper, we present the $$L_p$$Lp convergence for partial sums $$S_n=\sum _{k=1}^nX_k$$Sn=∑k=1nXk under the Cesàro uniform integrability condition and the complete convergence for the maximum of $$S_n$$Sn for sequences of widely orthant dependent random variables $$\{X_n,n\ge 1\}.$${Xn,n≥1}. Some of the results extend the corresponding ones in reference. As applications, we get the complete consistency and the strong consistency for the estimator in a nonparametric regression model.
Keywords:
orthant dependent;
random variables;
widely orthant;
dependent random;
partial sums;
convergence
Journal Title: Statistical Papers
Year Published: 2018
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Journal Title: Statistical Papers
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!