ρ~*-混合序列加权和的完全收敛性Complete convergence for weighted sums of ρ~*-mixing sequences
朱孟虎;蔡光辉;
摘要(Abstract):
讨论了ρ*-混合序列加权和的完全收敛性,将文[8]中的定理3推广至ρ*-混合序列的情形且加强了文[8]中的定理3的结论.将文[9]中的定理推广至ρ*-混合序列的情形.
关键词(KeyWords): ρ*-混合序列;加权和;完全收敛性
基金项目(Foundation): 浙江工商大学科研基金资助项目(X05-5)
作者(Authors): 朱孟虎;蔡光辉;
参考文献(References):
- [1]B radkey R C.O n the spectra l dens ity and asym ptotic norm a lity of dependence betw een random variab les[J].J.T heo.P robab.,1992,5:355-373.
- [2]M iller C.T hree theorem s on random fie lds w ithρ*-m ix ing[J].J.T heo.P robab.,1994,7:867-882.
- [3]M iller C.A CLT for periodogram s of aρ*-m ix ing fie lds[J].S toch.P rocesses A pp l.,1995,60:313-330.
- [4]B ryc W,Sm o lensk iW.M om en t cond itions for a lm ost sure convergence of w eak ly corre lated randomvariab les[J].P roc.Am er.M ath.Soc.,1993,119:629-635.
- [5]Zhang L X.Convergence rates in the strong law s of nonstationaryρ*-m ix ing random fie lds[J].A ctaM ath.Sc ien tia,2000,20B(3):303-312.
- [6]Pe ligrad M,G u t A.A lm ost sure resu lts for a class of dependen t random variab les[J].J.T heo.P robab.,1999,12:87-104.
- [7]张立新,闻继威.B值混合随机场的强大数律[J].数学年刊:A辑,2001,22(2):205-216.
- [8]T hrum R.A rem ark on a lm ost sure convergence of w e igh ted sum s[J].P robab.T heory R e l.F ie lds,1987,75:425-430.
- [9]项一星,王海建.关于相依随机变量加权和强收敛性的注记[J].纯粹数学与应用数学,2001,17(4):289-292.
- [10]陆传荣,林正炎.混合相依变量的极限定理[M].北京:科学出版社,1997.