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Volumn 9, Issue 3, 1996, Pages 797-809

The strong law of large numbers for weighted averages under dependence assumptions

Author keywords

Asymptotically quadrant sub independence; Marcinkiewicz Zygmund strong laws; Maximal inequalities; Mixing conditions; Mixingale difference; Strong laws; Weighted averages

Indexed keywords


EID: 21344467629     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214087     Document Type: Article
Times cited : (57)

References (11)
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    • Birkel, T.1
  • 2
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    • Extensions of Rajchman's strong law of large numbers
    • Chandra, T. K. (1991). Extensions of Rajchman's strong law of large numbers. Sankhyā, Ser. A 53, 118-121.
    • (1991) Sankhyā, Ser. A , vol.53 , pp. 118-121
    • Chandra, T.K.1
  • 3
    • 0011354937 scopus 로고
    • Some elementary strong laws of large numbers: A review
    • Indian Statistical Institute
    • Chandra, T. K., and Ghosal, S. (1993). Some elementary strong laws of large numbers: a review. Technical Report #22/93, Indian Statistical Institute.
    • (1993) Technical Report #22/93
    • Chandra, T.K.1    Ghosal, S.2
  • 4
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    • Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund
    • to appear
    • Chandra, T. K., and Ghosal, S. (1996). Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund. Acta Math. Hung. 72(3) (to appear).
    • (1996) Acta Math. Hung. , vol.72 , Issue.3
    • Chandra, T.K.1    Ghosal, S.2
  • 5
    • 0005960575 scopus 로고
    • Stability of sums of weighted random variables
    • Etemadi, N. (1983). Stability of sums of weighted random variables. J. Multivariate Anal. 13, 361-365.
    • (1983) J. Multivariate Anal. , vol.13 , pp. 361-365
    • Etemadi, N.1
  • 7
    • 0009974930 scopus 로고
    • Convergence of weighted averages of independent random variables
    • Jamison, B., Orey, S., and Pruitt, W. E. (1965). Convergence of weighted averages of independent random variables. Z. Wahrsch. Verw. Gebiete 4, 40-44.
    • (1965) Z. Wahrsch. Verw. Gebiete , vol.4 , pp. 40-44
    • Jamison, B.1    Orey, S.2    Pruitt, W.E.3
  • 8
    • 0001915127 scopus 로고
    • A maximal inequality and dependent strong laws
    • McLeish, D. L. (1975). A maximal inequality and dependent strong laws. Ann. Prob. 3, 829-839.
    • (1975) Ann. Prob. , vol.3 , pp. 829-839
    • McLeish, D.L.1
  • 9
    • 0001046520 scopus 로고
    • Summability of independent random variables
    • Pruitt, W. E. (1966). Summability of independent random variables. J. Math. Mech. 15, 769-776.
    • (1966) J. Math. Mech. , vol.15 , pp. 769-776
    • Pruitt, W.E.1
  • 10
    • 0000351114 scopus 로고
    • Convergence of weighted sums of independent random variables
    • Rothatgi, V. K. (1971). Convergence of weighted sums of independent random variables. Proc. Cambridge Phil. Soc. 69, 305-307.
    • (1971) Proc. Cambridge Phil. Soc. , vol.69 , pp. 305-307
    • Rothatgi, V.K.1
  • 11
    • 0010047604 scopus 로고
    • Strong stability of normed sums of pairwise i.i.d. random variables
    • Rosalsky, A. (1987). Strong stability of normed sums of pairwise i.i.d. random variables. Bull. Inst. Math. Acad. Sinica 15, 203-219.
    • (1987) Bull. Inst. Math. Acad. Sinica , vol.15 , pp. 203-219
    • Rosalsky, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.