Convergence Properties of the Weighted Sums of φ-mixing Random Sequences
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Graphical Abstract
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Abstract
This paper establishes some sufficient conditions for the law of the iterated logarithm, the complete and almost sure convergence of the weighted sums of φ-mixing random sequences. These results improve the results of 6 and 7, extend Theorem 6 of 8. A Bernstein inequality for weighted sums is obtained.
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