In this paper,we establish an invariance principle for ρ^--mixing random sequences under some moment condition.The result improve and extend the relevant result of Wu（2003）.
By using a Rosenthal type inequality established in this paper,the complete convergence rates in the strong laws for a class of dependent random fields are discussed.And the result obtained extends those for ρ --mix...By using a Rosenthal type inequality established in this paper,the complete convergence rates in the strong laws for a class of dependent random fields are discussed.And the result obtained extends those for ρ --mixing random fields,ρ *-mixing random fields and negatively associated fields.展开更多
基金Supported by the National Natural Science Foundation of China（10661006） Supported by the New Century Guangxi Ten-hundred-thousand Talents Project（2005214）
文摘In this paper,we establish an invariance principle for ρ^--mixing random sequences under some moment condition.The result improve and extend the relevant result of Wu（2003）.
文摘By using a Rosenthal type inequality established in this paper,the complete convergence rates in the strong laws for a class of dependent random fields are discussed.And the result obtained extends those for ρ --mixing random fields,ρ *-mixing random fields and negatively associated fields.
