J4 ›› 2012, Vol. 50 ›› Issue (01): 49-53.
Previous Articles Next Articles
HU Xueping, LI Huibao
Received:
Online:
Published:
Contact:
Abstract:
Using the moment inequality for 〖AKρ~D〗mixing sequences, 〖AKφ~D〗mixing sequences and truncated method, we investigat ed the weak convergence, the Lr convergence and the complete convergence f or weighted sum max〖DD(〗〖〗1≤j≤kn〖DD)〗〖JB((〗∑〖DD(〗j〖〗k =1〖DD)〗ankXnk-E∑〖DD(〗j〖〗k=1〖DD)〗ankXnk〖JB))〗 of 〖AKρ~D〗mixing arrays and 〖AKφ~D〗mixing arrays under the condition of {ank, 1≤k≤kn, n≥1}uniform integrability. The resul ts presented in this paper have extended and improved some results in related li terature.
Key words: 〖AKρ~D〗mixing sequence, 〖AKφ~D〗mixing sequence, Lr convergence, complete convergence, {ank}uniform integrability
CLC Number:
HU Xueping, LI Huibao. Some Convergence Properties for Weighted Sum ofMixing Random Arrays[J].J4, 2012, 50(01): 49-53.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2012/V50/I01/49
Cited