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Chen, Pingyan; Ma, Xiaofang; Sung, Soo Hak

On complete convergence and strong law for weighted sums of i.i.d. random variables. (English) Zbl 1469.60090

Abstr. Appl. Anal. 2014, Article ID 251435, 7 p. (2014).
Summary: We improve and generalize the result of W. F. Stout [Almost sure convergence. New York, NY: Academic Press (1974; Zbl 0321.60022), Theorem 4.1.3]. In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in [loc. cit.]. We also improve and generalize [D. Li et al., J. Theor. Probab. 8, No. 1, 49–76 (1995; Zbl 0814.60026)] strong law for weighted sums of i.i.d.random variables.

Cited in 7 Documents

MSC:

60F15 Strong limit theorems

Keywords:

strong law for weighted sums of i.i.d.random variables

Citations:

Zbl 0321.60022; Zbl 0814.60026
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\textit{P. Chen} et al., Abstr. Appl. Anal. 2014, Article ID 251435, 7 p. (2014; Zbl 1469.60090)
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References:

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