On complete convergence for strong mixing sequences

References

• An , J. and Yuan , D.M. 2008 . Complete convergence of weighted sums for ρ*-mixing sequence of random variables . Stat. Probab. Lett. , 78 : 1466 – 1472 .
   Web of Science ®Google Scholar
• Berbee , H.C.P. 1987 . Convergence rates in the strong law for bounded mixing sequences . Probab. Theory Rel. Fields , 74 : 255 – 270 .
   Web of Science ®Google Scholar
• Hardy , G. , Littlewood , J.E. and Pólya , G. 1952 . Inequalities , 2nd ed. , Cambridge : Cambridge University Press .
   Google Scholar
• Hipp , C. 1979 . Convergence rates of the strong law for stationary mixing sequences . Z. Wahrsch. Verw. Gebiete , 49 : 49 – 62 .
   Web of Science ®Google Scholar
• Hsu , P.L. and Robbins , H. 1947 . Complete convergence and the law of large numbers . Proc. Nat. Acad. Sci. , 33 : 25 – 31 .
   PubMed Web of Science ®Google Scholar
• Lai , T.L. 1977 . Convergence rates and r-quick versions of strong law for stationary mixing sequences . Ann. Probab. , 5 : 693 – 706 .
   Web of Science ®Google Scholar
• Peligrad , M. 1989 . “ The r-quick version of the strong law for stationary φ-mixing sequences ” . In Almost Everywhere Convergence , New York : Academic Press .
   Google Scholar
• Peligrad , M. and Gut , A. 1999 . Almost sure results for a class of dependent random variables . J. Theoret. Probab. , 12 : 87 – 104 .
   Web of Science ®Google Scholar
• Shao , Q.M. 1988 . A moment inequality and its applications . Acta Math. Sinica , 31 : 736 – 747 . (In Chinese)
   Google Scholar
• Shao , Q.M. 1989 . On complete convergence for ρ-mixing sequences . Acta Math. Sinica , 32 : 377 – 393 . (In Chinese)
   Google Scholar
• Shao , Q.M. 1993 . Complete convergence for α-mixing sequences . Stat. Probab. Lett. , 16 : 279 – 287 .
   Web of Science ®Google Scholar
• Yang , S.C. 2007 . Maximal moment inequality for partial sums of strong mixing sequence and application . Acta Math. Sinica , 23 : 1013 – 1024 .
   Web of Science ®Google Scholar