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Volumn 28, Issue 4, 2000, Pages 1908-1924

Necessary and sufficient conditions for the strong law of large numbers for U-statistics

Author keywords

Random series; Strong law of large numbers; U statistics

Indexed keywords


EID: 0034558652     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160513     Document Type: Article
Times cited : (6)

References (13)
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  • 3
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    • Gadidov, A.1
  • 4
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    • Marcinkiewicz type laws of large numbers and convergence of moments for U-statistics
    • GINÉ, E. and ZINN, J. (1992). Marcinkiewicz type laws of large numbers and convergence of moments for U-statistics. Progr. Probab. 30 273-291.
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    • Giné, E.1    Zinn, J.2
  • 6
    • 0039229883 scopus 로고
    • Double stochastic integrals, random quadratic forms and random series in Orlicz spaces
    • KWAPIEŃ, S. and WOYCZYŃSKI, W. (1987). Double stochastic integrals, random quadratic forms and random series in Orlicz spaces. Ann. Probab. 15 1072-1096.
    • (1987) Ann. Probab. , vol.15 , pp. 1072-1096
    • Kwapień, S.1    Woyczyński, W.2
  • 7
    • 0003760561 scopus 로고
    • Random series and stochastic integrals: Single and multiple
    • Birkhäuser, Boston, MA xvi + 360 pp.
    • KWAPIEŃ, S. and WOYCZYŃSKI, W. (1992). Random series and stochastic integrals: single and multiple. Probab. Appl., Birkhäuser, Boston, MA xvi + 360 pp.
    • (1992) Probab. Appl.
    • Kwapień, S.1    Woyczyński, W.2
  • 8
    • 84975945852 scopus 로고
    • Two-parameter strong laws and maximal inequalities for U-statistics
    • MCCONNELL, T. R. (1987). Two-parameter strong laws and maximal inequalities for U-statistics. Proc. Roy. Soc. Edinburgh Sect. A 107 133-151.
    • (1987) Proc. Roy. Soc. Edinburgh Sect. A , vol.107 , pp. 133-151
    • McConnell, T.R.1
  • 9
    • 0000397835 scopus 로고
    • Comparison of sums of independent identically distributed random vectors
    • MONTGOMERY-SMITH, S. J. (1993). Comparison of sums of independent identically distributed random vectors. Probab. Math. Statist. 14 281-285.
    • (1993) Probab. Math. Statist. , vol.14 , pp. 281-285
    • Montgomery-Smith, S.J.1
  • 11
    • 0009156932 scopus 로고
    • Convergence of self-normalized generalized U-statistics
    • TEICHER, H. (1992). Convergence of self-normalized generalized U-statistics. J. Theoret. Probab. 5 391-405.
    • (1992) J. Theoret. Probab. , vol.5 , pp. 391-405
    • Teicher, H.1
  • 12
    • 0030363935 scopus 로고    scopus 로고
    • Strong law of large numbers for sums of products
    • ZHANG, C.-H. (1996). Strong law of large numbers for sums of products. Ann. Probab. 24 1589-1615.
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    • Zhang, C.-H.1
  • 13
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    • Sub-Bernoulli functions, moment inequalities and strong laws for non-negative and symmetrized U-statistics
    • ZHANG, C.-H. (1999). Sub-Bernoulli functions, moment inequalities and strong laws for non-negative and symmetrized U-statistics. Ann. Probab. 27 432-453.
    • (1999) Ann. Probab. , vol.27 , pp. 432-453
    • Zhang, C.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.