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Equivalent conditions of complete convergence for independent weighted sums

✍ Scribed by Yuebao Wang; Xuguo Liu; Chun Su


Publisher
SP Science China Press
Year
1998
Tongue
English
Weight
535 KB
Volume
41
Category
Article
ISSN
1674-7283

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✍ Han-Ying Liang; Chun Su πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 112 KB

Under general weighting coe cient, we obtain the complete convergence for weighted sums of negatively associated (NA) sequences, and discuss its necessity. The results on i.i.d. setting of Chow [

Complete convergence for weighted sums o
✍ Han-Ying Liang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 98 KB

We discuss complete convergence for weighted sums of negatively associated (NA) random variables. The result on i.i.d. case of Li et al. (J. Theoret. Probab. 8 (1995) 49 -76) is generalized and extended. Also, Gut's (Probab. Theory Related Fields 97 (1993) 169 -178) result on CesΓ‚ aro summation of i