## Complete convergence for weighted sums of $$\rho \ast$$-mixing random variables.(English)Zbl 1193.60045

Summary: We obtain the complete convergence for weighted sums of $$\rho ^{\ast }$$-mixing random variables. Our result extends the result of M. Peligrad and A. Gut [J. Theor. Probab. 12, No. 1, 87–104 (1999; Zbl 0928.60025)] on unweighted average to a weighted average under a mild condition of weights. Our result also generalizes and sharpens the result of J. An and D. Yuan [Stat. Probab. Lett. 78, No. 12, 1466–1472 (2008; Zbl 1155.60316)].

### MSC:

 60F15 Strong limit theorems

### Citations:

Zbl 0928.60025; Zbl 1155.60316
Full Text:

### References:

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