Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables

Joint Authors

Ling, Jimin
Chen, Zhiyong
Wang, Xuejun
Hu, Shuhe

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-08

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

The Khintchine-Kolmogorov-type convergence theorem and three-series theorem for AANA random variables are established.

By using these convergence theorems, we obtain convergence results for AANA sequences, which extend the corresponding ones for independent sequences and NA sequences.

In addition, we study the strong stability for weighted sums of AANA random variables and obtain some new results, which extend some earlier ones for NA random variables.

American Psychological Association (APA)

Chen, Zhiyong& Hu, Shuhe& Ling, Jimin& Wang, Xuejun. 2013. Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-461195

Modern Language Association (MLA)

Chen, Zhiyong…[et al.]. Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-461195

American Medical Association (AMA)

Chen, Zhiyong& Hu, Shuhe& Ling, Jimin& Wang, Xuejun. Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-461195

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-461195