Complete convergence for weighted sums of NA sequences

Han-Ying Liang and Chun Su

Statistics & Probability Letters, 1999, vol. 45, issue 1, 85-95

Abstract: Under general weighting coefficient, we obtain the complete convergence for weighted sums of negatively associated (NA) sequences, and discuss its necessity. The results on i.i.d. setting of Chow [Ann. Math. Statist. 37 (1966) 1482-1492], Thrum [Probab. Theory Rel. Fields 75 (1987) 425-430] and Li et al. [J. Theor. Probab. 8 (1995) 49-76] are extended and generalized. Also, the sufficient part of Wang et al.'s [Sci. in China 41 (1998) 939-949] Theorem 1 is extended.

Keywords: Complete; convergence; Weighted; sum; NA; sequence (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (10)

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