On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables
We prove the strong law of large numbers for weighted sums ∑i=1naniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables. In addition, we present some results on complete convergence for weighted sums of ρ...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/947487 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849309210628587520 |
|---|---|
| author | Aiting Shen Xinghui Wang Huayan Zhu |
| author_facet | Aiting Shen Xinghui Wang Huayan Zhu |
| author_sort | Aiting Shen |
| collection | DOAJ |
| description | We prove the strong law of large numbers for weighted sums ∑i=1naniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables. In addition, we present some results on complete convergence for weighted sums of ρ*-mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables. |
| format | Article |
| id | doaj-art-04b61a3ecf734a1e8db73afd058b053d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-04b61a3ecf734a1e8db73afd058b053d2025-08-20T03:54:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/947487947487On Complete Convergence for Weighted Sums of ρ*-Mixing Random VariablesAiting Shen0Xinghui Wang1Huayan Zhu2School of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaWe prove the strong law of large numbers for weighted sums ∑i=1naniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables. In addition, we present some results on complete convergence for weighted sums of ρ*-mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables.http://dx.doi.org/10.1155/2013/947487 |
| spellingShingle | Aiting Shen Xinghui Wang Huayan Zhu On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables Abstract and Applied Analysis |
| title | On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables |
| title_full | On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables |
| title_fullStr | On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables |
| title_full_unstemmed | On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables |
| title_short | On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables |
| title_sort | on complete convergence for weighted sums of ρ mixing random variables |
| url | http://dx.doi.org/10.1155/2013/947487 |
| work_keys_str_mv | AT aitingshen oncompleteconvergenceforweightedsumsofrmixingrandomvariables AT xinghuiwang oncompleteconvergenceforweightedsumsofrmixingrandomvariables AT huayanzhu oncompleteconvergenceforweightedsumsofrmixingrandomvariables |