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Volumn 25, Issue 3, 1997, Pages 1502-1513

Estimation of moments of sums of independent real random variables

Author keywords

Estimation of moments; Rosenthal inequality; Sums of independent random variables

Indexed keywords


EID: 0041157299     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404522     Document Type: Article
Times cited : (133)

References (10)
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    • 0002998367 scopus 로고
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    • GLUSKIN, E. D. and KWAPIEŃ, S. (1995). Tail and moment estimates for sums of independent random variables with logarithmically concave tails. Studia Math. 114 303-309.
    • (1995) Studia Math. , vol.114 , pp. 303-309
    • Gluskin, E.D.1    Kwapień, S.2
  • 2
    • 51249168777 scopus 로고
    • Domination inequality for martingale transforms of rademacher sequence
    • HITCZENKO, P. (1993). Domination inequality for martingale transforms of Rademacher sequence. Israel J. Math. 84 161-178.
    • (1993) Israel J. Math. , vol.84 , pp. 161-178
    • Hitczenko, P.1
  • 3
    • 0002719532 scopus 로고
    • On the rademacher series
    • J. Hoffmann-Jorgensen, J. Kuelbs and M. B. Marcus, eds. Birkhäuser, Boston
    • HITCZENKO, P. and KWAPIEŃ, S. (1994). On the Rademacher series. In Probability in Banach Spaces 9 (J. Hoffmann-Jorgensen, J. Kuelbs and M. B. Marcus, eds.) 31-36. Birkhäuser, Boston.
    • (1994) Probability in Banach Spaces 9 , pp. 31-36
    • Hitczenko, P.1    Kwapień, S.2
  • 4
    • 0031461768 scopus 로고    scopus 로고
    • Moment inequalities for linear combinations of certain i.I.D. Symmetric random variables
    • HITCZENKO, P., MONTGOMERY-SMITH, S. J. and OLESZKIEWICZ, K. (1997). Moment inequalities for linear combinations of certain i.i.d. symmetric random variables. Studia Math. 123 15-42.
    • (1997) Studia Math. , vol.123 , pp. 15-42
    • Hitczenko, P.1    Montgomery-Smith, S.J.2    Oleszkiewicz, K.3
  • 5
    • 0000537934 scopus 로고
    • Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
    • JOHNSON, W. B., SCHECHTMAN, G. and ZINN, J. (1985). Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Ann. Probab. 13 234-253.
    • (1985) Ann. Probab. , vol.13 , pp. 234-253
    • Johnson, W.B.1    Schechtman, G.2    Zinn, J.3
  • 7
    • 0007464240 scopus 로고
    • Large deviations of sums of independent random variables
    • MONTGOMERY, H. L. and ODLYZKO, A. M. (1988). Large deviations of sums of independent random variables. Acta Arith. 49 425-434.
    • (1988) Acta Arith. , vol.49 , pp. 425-434
    • Montgomery, H.L.1    Odlyzko, A.M.2
  • 8
    • 84966228950 scopus 로고
    • The distribution of rademacher sums
    • MONTGOMERY-SMITH, S. J. (1990). The distribution of Rademacher sums. Proc. Amer. Math. Soc. 109 517-522.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 517-522
    • Montgomery-Smith, S.J.1
  • 9
    • 0001638327 scopus 로고
    • Optimum bounds for the distribution of martingales in banach spaces
    • PINELIS, I. (1994). Optimum bounds for the distribution of martingales in Banach spaces. Ann. Probab. 22 1694-1706.
    • (1994) Ann. Probab. , vol.22 , pp. 1694-1706
    • Pinelis, I.1
  • 10
    • 0040643481 scopus 로고
    • Optimum bounds on moments of sums of independent random vectors
    • PINELIS, I. (1995). Optimum bounds on moments of sums of independent random vectors. Siberian Adv. Math. 5 141-150.
    • (1995) Siberian Adv. Math. , vol.5 , pp. 141-150
    • Pinelis, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.