YANG Shanchao. Convergence Properties of the Weighted Sums of φ-mixing Random Sequences[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(3): 273-282.
Citation: YANG Shanchao. Convergence Properties of the Weighted Sums of φ-mixing Random Sequences[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(3): 273-282.

Convergence Properties of the Weighted Sums of φ-mixing Random Sequences

  • 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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