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Volumn 38, Issue 1, 2004, Pages 49-57

Sharp bounds on the expectations of second record values from symmetric populations

Author keywords

Bounds for moments; H lder inequality; Moriguti monotone approximation; pth central absolute moment; Record statistics; Symmetric population

Indexed keywords


EID: 1642536664     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/0233188032000158808     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 0000917169 scopus 로고
    • p-Norm bounds on the expectation of the maximum of a possibly dependent sample
    • Arnold, B. C. (1985). p-Norm bounds on the expectation of the maximum of a possibly dependent sample. J. Multivariate Anal., 17, 316-332.
    • (1985) J. Multivariate Anal. , vol.17 , pp. 316-332
    • Arnold, B.C.1
  • 3
    • 0001654845 scopus 로고
    • Limiting properties of the k-th record values
    • Dziubdziela, W. and Kopociński, B. (1976). Limiting properties of the k-th record values. Appl. Math. (Warsaw), 15, 187-190.
    • (1976) Appl. Math. (Warsaw) , vol.15 , pp. 187-190
    • Dziubdziela, W.1    Kopociński, B.2
  • 4
    • 0001883082 scopus 로고    scopus 로고
    • Steffensen-type inequalities for order statistics and record statistics
    • Gajek, L. and Okolewski, A. (1997). Steffensen-type inequalities for order statistics and record statistics. Annales Univ. Mariae Curie-Sklodowska Lublin-Polonia, LI.1(6), 41-59.
    • (1997) Annales Univ. Mariae Curie-Sklodowska Lublin-Polonia , vol.LI.1 , Issue.6 , pp. 41-59
    • Gajek, L.1    Okolewski, A.2
  • 5
    • 0002293703 scopus 로고
    • On the expected values of k-th record values and associated characterizations of distributions
    • Konecny, F., Mogyoródy, J., Wertz, W. (Eds.), Reidel, Dordrecht
    • Grudzień, Z. and Szynal, D. (1985). On the expected values of k-th record values and associated characterizations of distributions. In: Konecny, F., Mogyoródy, J., Wertz, W. (Eds.), Probability and Statistical Decision Theory, Vol. A, Reidel, Dordrecht, 119-127.
    • (1985) Probability and Statistical Decision Theory , vol.A , pp. 119-127
    • Grudzień, Z.1    Szynal, D.2
  • 6
    • 0002663322 scopus 로고
    • The maxima of the mean largest value and range
    • Gumbel, E. J. (1954). The maxima of the mean largest value and range. Ann. Math. Statist., 25, 76-84.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 76-84
    • Gumbel, E.J.1
  • 7
    • 0002515764 scopus 로고
    • Universal bounds for mean range and extreme observation
    • Hartley, H. O. and David, H. A. (1954). Universal bounds for mean range and extreme observation. Ann. Math. Statist., 25, 85-99.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 85-99
    • Hartley, H.O.1    David, H.A.2
  • 8
    • 0000471005 scopus 로고
    • A modification of Schwarz's inequality with applications to distributions
    • Moriguti, S. (1953). A modification of Schwarz's inequality with applications to distributions. Ann. Math. Statist., 24, 107-113.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 107-113
    • Moriguti, S.1
  • 9
    • 84990490104 scopus 로고
    • On the expected values of record values
    • Nagaraja, H. N. (1978). On the expected values of record values. Austral. J. Statist., 20, 176-182.
    • (1978) Austral. J. Statist. , vol.20 , pp. 176-182
    • Nagaraja, H.N.1
  • 10
    • 0031573282 scopus 로고    scopus 로고
    • Bounds based on greatest convex minorants for moments of record values
    • Raqab, M. Z. (1997). Bounds based on greatest convex minorants for moments of record values. Statist. Probab. Lett., 36, 35-41.
    • (1997) Statist. Probab. Lett. , vol.36 , pp. 35-41
    • Raqab, M.Z.1
  • 11
    • 0042715214 scopus 로고    scopus 로고
    • On the moments of record values
    • Raqab, M. Z. (2000). On the moments of record values. Commun. Statist. - Theory Meth., 29, 1631-1647.
    • (2000) Commun. Statist. - Theory Meth. , vol.29 , pp. 1631-1647
    • Raqab, M.Z.1
  • 12
    • 0036867694 scopus 로고    scopus 로고
    • Sharp bounds for the moments of record statistics
    • Raqab, M. Z. and Rychlik, T. (2002). Sharp bounds for the moments of record statistics. Commun. Statist. - Theory Meth., 31(11), 1927-1938.
    • (2002) Commun. Statist. - Theory Meth. , vol.31 , Issue.11 , pp. 1927-1938
    • Raqab, M.Z.1    Rychlik, T.2
  • 13
    • 0000755822 scopus 로고
    • Sharp bounds on L-estimates and their expectations for dependent samples
    • Rychlik, T. (1993). Sharp bounds on L-estimates and their expectations for dependent samples. Commun. Statist. Theory Meth., 22, 1053-1068.
    • (1993) Commun. Statist. Theory Meth. , vol.22 , pp. 1053-1068
    • Rychlik, T.1
  • 14
    • 1642533271 scopus 로고    scopus 로고
    • Projecting Statistical Functionals
    • Springer-Verlag, New York
    • Rychlik, T. (2001). Projecting Statistical Functionals. Lectures Notes in Statistics, Vol. 160, Springer-Verlag, New York.
    • (2001) Lectures Notes in Statistics , vol.160
    • Rychlik, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.