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Convergence of Jamison-Type Weighted Sums of Pairwise Negatively Quadrant Dependent Random Variables 被引量:1

Convergence of Jamison-Type Weighted Sums of Pairwise Negatively Quadrant Dependent Random Variables
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摘要 Under very general weight function, we discuss the convergence of Jamison-type weighted sums of pairwise negatively quadrant dependent (NQD) r.v.'s. The results on i.i.d. setting of [3] and [1] are extended and generalized. As corollaries, we obtain some results of [11]. Under very general weight function, we discuss the convergence of Jamison-type weighted sums of pairwise negatively quadrant dependent (NQD) r.v.'s. The results on i.i.d. setting of [3] and [1] are extended and generalized. As corollaries, we obtain some results of [11].
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2002年第1期161-168,共8页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.10171079 NO.10071081) the Science Foundation of Tong ji University.
关键词 Pairwise NQD sequence weighted sum convergence in probability almost sure convergence Pairwise NQD sequence, weighted sum, convergence in probability, almost sure convergence
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  • 1Hanying Liang,Chun Su.Convergence in the law of logarithm for NA sequences[J].Chinese Science Bulletin,1999,44(15):1356-1360. 被引量:3
  • 2Norbert Herrndorf.The invariance principle for ?-mixing sequences[J].Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete.1983(1)
  • 3Benton Jamison,Steven Orey,William Pruitt.Convergence of weighted averages of independent random variables[J].Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete.1965(1)

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