On Complete Convergence of Moving Average Process for AANA Sequence

Joint Authors

Wang, Xuejun
Ling, Nengxiang
Hu, Shuhe
Yang, Wenzhi

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-17

Country of Publication

Egypt

No. of Pages

24

Main Subjects

Mathematics

Abstract EN

We investigate the moving average process such that Xn=∑i=1∞aiYi+n, n≥1, where ∑i=1∞|ai|<∞ and {Yi, 1≤i<∞} is a sequence of asymptotically almost negatively associated (AANA) random variables.

The complete convergence, complete moment convergence, and the existence of the moment of supermum of normed partial sums are presented for this moving average process.

American Psychological Association (APA)

Yang, Wenzhi& Wang, Xuejun& Ling, Nengxiang& Hu, Shuhe. 2012. On Complete Convergence of Moving Average Process for AANA Sequence. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-504433

Modern Language Association (MLA)

Yang, Wenzhi…[et al.]. On Complete Convergence of Moving Average Process for AANA Sequence. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-504433

American Medical Association (AMA)

Yang, Wenzhi& Wang, Xuejun& Ling, Nengxiang& Hu, Shuhe. On Complete Convergence of Moving Average Process for AANA Sequence. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-504433

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-504433