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Volumn 25, Issue 3, 1997, Pages 1471-1501

Order of magnitude bounds for expectations of Δ2-functions of nonnegative random bilinear forms and generalized U-statistics

Author keywords

Expectations of functions; Generalized U statistics; Nonnegative rv's; Random bilinear forms

Indexed keywords


EID: 0031477641     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (16)
  • 1
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    • Bourgain, J.1    Tzafriri, L.2
  • 3
    • 84966243212 scopus 로고
    • Bounds on the expectation of functions of martingales and sums of positive R.V.'s in terms of norms of sums of independent random variables
    • DE LA PEÑA, V. H. (1990). Bounds on the expectation of functions of martingales and sums of positive R.V.'s in terms of norms of sums of independent random variables. Proc. Amer. Math. Soc. 108 233-239.
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    • De La Peña, V.H.1
  • 4
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    • Order-of-magnitude bounds for expectations involving quadratic forms
    • DE LA PEÑA, V. H. and KLASS, M. J. (1994). Order-of-magnitude bounds for expectations involving quadratic forms. Ann. Probab. 22 1044-1077.
    • (1994) Ann. Probab. , vol.22 , pp. 1044-1077
    • De La Peña, V.H.1    Klass, M.J.2
  • 5
    • 0000566943 scopus 로고
    • Decoupling inequalities for tail probabilities of multilinear forms of multivariate u-statistics
    • DE LA PEÑA, V. H. and MONTGOMERY-SMITH, S. J. (1995). Decoupling inequalities for tail probabilities of multilinear forms of multivariate U-statistics. Ann. Probab. 23 806-816.
    • (1995) Ann. Probab. , vol.23 , pp. 806-816
    • De La Peña, V.H.1    Montgomery-Smith, S.J.2
  • 8
    • 0001017771 scopus 로고
    • Sums of independent banach space valued random variables
    • HOFFMANN-JØRGENSEN, J. (1974). Sums of independent Banach space valued random variables. Studia Math. 52 159-186.
    • (1974) Studia Math. , vol.52 , pp. 159-186
    • Hoffmann-JØrgensen, J.1
  • 10
    • 0000703691 scopus 로고
    • A method of approximating expectations of functions of sum of independent random variables
    • KLASS, M. J. (1981). A method of approximating expectations of functions of sum of independent random variables. Ann. Probab. 9 413-428.
    • (1981) Ann. Probab. , vol.9 , pp. 413-428
    • Klass, M.J.1
  • 11
    • 0009153739 scopus 로고
    • On the almost sure minimal growth rate of partial sum maxima
    • KLASS, M. J. and ZHANG, C.-H. (1994). On the almost sure minimal growth rate of partial sum maxima. Ann. Probab. 22 1857-1878.
    • (1994) Ann. Probab. , vol.22 , pp. 1857-1878
    • Klass, M.J.1    Zhang, C.-H.2
  • 14
    • 0002923964 scopus 로고
    • Sur les fonctions independantes
    • MARCINKIEWICZ, J. and ZYGMUND, A. (1937). Sur les fonctions independantes. Fund. Math. 29 60-90.
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    • Marcinkiewicz, J.1    Zygmund, A.2
  • 15
    • 0000000103 scopus 로고
    • Decoupling inequalities for multilinear forms in independent symmetric random variables
    • MCCONNELL, T. and TAQQU, M. (1986). Decoupling inequalities for multilinear forms in independent symmetric random variables. Ann. Probab. 14 943-954.
    • (1986) Ann. Probab. , vol.14 , pp. 943-954
    • McConnell, T.1    Taqqu, M.2
  • 16
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    • A note on analytic functions on the unit circle
    • PALEY, R. E. A. C. and ZYGMUND, A. (1932). A note on analytic functions on the unit circle. Proc. Cambridge Phil. Soc. 28 266-272.
    • (1932) Proc. Cambridge Phil. Soc. , vol.28 , pp. 266-272
    • Paley, R.E.A.C.1    Zygmund, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.