In this paper,we obtained complete qth-moment convergence of the moving average processes,which is generated by m-WOD moving random variables.The results in this article improve and extend the results of the moving av...In this paper,we obtained complete qth-moment convergence of the moving average processes,which is generated by m-WOD moving random variables.The results in this article improve and extend the results of the moving average process.mWOD random variables include WOD,m-NA,m-NOD and mEND random variables,so the results in the paper also promote the corresponding ones in WOD,m-NA,m-NOD,m-END random variables.展开更多
The m-widely orthant dependent(m-WOD)sequences are very weak dependent random variables.In the paper,the authors investigate the moving average processes,which is generated by m-WOD random variables.By using the tail ...The m-widely orthant dependent(m-WOD)sequences are very weak dependent random variables.In the paper,the authors investigate the moving average processes,which is generated by m-WOD random variables.By using the tail cut technique and maximum moment inequality of the m-WOD random variables,moment complete convergence and complete convergence of the maximal partial sums for the moving average processes are obtained,the results generalize and improve some corresponding results of the existing literature.展开更多
基金Supported by the Academic Funding Projects for Top Talents in Universities of Anhui Province(gxbj ZD2022067,gxbj ZD2021078)the Philosophy and Social Sciences Planning Project of Anhui Province(AHSKY2018D98)。
文摘In this paper,we obtained complete qth-moment convergence of the moving average processes,which is generated by m-WOD moving random variables.The results in this article improve and extend the results of the moving average process.mWOD random variables include WOD,m-NA,m-NOD and mEND random variables,so the results in the paper also promote the corresponding ones in WOD,m-NA,m-NOD,m-END random variables.
基金Supported by the Academic Funding Projects for Top Talents in Universities of Anhui Province (gxbjZD2022067, gxbjZD2021078)the Key Grant Project for Academic Leaders of Tongling University(2020tlxyxs31, 2020tlxyxs09)。
文摘The m-widely orthant dependent(m-WOD)sequences are very weak dependent random variables.In the paper,the authors investigate the moving average processes,which is generated by m-WOD random variables.By using the tail cut technique and maximum moment inequality of the m-WOD random variables,moment complete convergence and complete convergence of the maximal partial sums for the moving average processes are obtained,the results generalize and improve some corresponding results of the existing literature.
