On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables

Author

Sung, Soo Hak

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-29

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011).

In this paper, we extend this result to negatively associated and negatively dependent random variables.

Similar results for sequences of φ-mixing and ρ*-mixing random variables are also obtained.

Our results improve and generalize the results of Baek et al.

(2008), Kuczmaszewska (2009), and Wang et al.

(2010).

American Psychological Association (APA)

Sung, Soo Hak. 2011. On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-486569

Modern Language Association (MLA)

Sung, Soo Hak. On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-486569

American Medical Association (AMA)

Sung, Soo Hak. On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-486569

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486569