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Volumn 34, Issue 6, 2006, Pages 2288-2314

Moment inequalities for U-statistics

Author keywords

Concentration of measure; U statistics

Indexed keywords


EID: 33947547454     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000476     Document Type: Article
Times cited : (51)

References (12)
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    • BORELL, C.1
  • 4
    • 17044422233 scopus 로고    scopus 로고
    • Moment inequalities for functions of independent random variables
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  • 5
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    • GINÉ, E., LATAŁA, R. and ZINN, J. (2000). Exponential and moment inequalities for U-statistics. In High Dimensional Probability II 13-38. Progr. Probab. 47. Birkhäuser, Boston. MR1857312
    • GINÉ, E., LATAŁA, R. and ZINN, J. (2000). Exponential and moment inequalities for U-statistics. In High Dimensional Probability II 13-38. Progr. Probab. 47. Birkhäuser, Boston. MR1857312
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    • GINÉ, E., KWAPIEŃ, S., LATAŁA, R. and ZINN, J. (2001). The LIL for canonical U-statistics of order 2. Ann. Probab. 29 520-557. MR1825163
    • (2001) Ann. Probab , vol.29 , pp. 520-557
    • GINÉ, E.1    KWAPIEŃ, S.2    LATAŁA, R.3    ZINN, J.4
  • 7
    • 33947510033 scopus 로고    scopus 로고
    • HOUDRÉ, C. and REYNAUD-BOURET, P. (2003). Exponential inequalities, with constants, for U-statistics of order two. In Stochastic Inequalities and Applications 55-69. Prog. Probab. 56. Birkhäuser, Basel. MR2073426
    • HOUDRÉ, C. and REYNAUD-BOURET, P. (2003). Exponential inequalities, with constants, for U-statistics of order two. In Stochastic Inequalities and Applications 55-69. Prog. Probab. 56. Birkhäuser, Basel. MR2073426
  • 8
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    • KWAPIEŃ, S. and WOYCZYNSKI, W. (1992). Random Series and Stochastic Integrals: Single and Multiple. Birkhäuser, Boston. MR1167198
    • KWAPIEŃ, S. and WOYCZYNSKI, W. (1992). Random Series and Stochastic Integrals: Single and Multiple. Birkhäuser, Boston. MR1167198
  • 9
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    • LATAŁA, R. (2006). Estimation of moments and tails of Gaussian chaoses. Ann. Probab. 34 2315-2331.
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    • LATAŁA, R.1
  • 10
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    • DE LA PEÑA, V. H. and GINÉ, E. (1999). Decoupling. From Dependence to Independence. Randomly Stopped Processes. U-Statistics and Processes. Martingales and Beyond. Springer, New York. MR1666908
    • DE LA PEÑA, V. H. and GINÉ, E. (1999). Decoupling. From Dependence to Independence. Randomly Stopped Processes. U-Statistics and Processes. Martingales and Beyond. Springer, New York. MR1666908
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    • TALAGRAND, M. (1996). New concentration inequalities in product spaces. Invent. Math. 126 505-563. MR1419006
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.