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Volumn 31, Issue 11, 2002, Pages 1927-1937

Sharp bounds for the mean of kTH record value

Author keywords

H lder inequality; Moriguti monotone approximation; Record statistics; Sharp bound

Indexed keywords


EID: 0036867694     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120015011     Document Type: Article
Times cited : (27)

References (14)
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    • Limiting Properties of the k-th Record Values
    • Dziubdziela, W.; Kopociński, B. Limiting Properties of the k-th Record Values. Appl. Math. (Warsaw) 1976, 75, 187-190.
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  • 2
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    • A Modification of Schwarz's Inequality with Applications to Distributions
    • Moriguti, S. A Modification of Schwarz's Inequality with Applications to Distributions. Ann. Math. Statist. 1953, 24, 107-113.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 107-113
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  • 3
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    • The Maxima of the Mean Largest Value and Range
    • Gumbel, E.J. The Maxima of the Mean Largest Value and Range. Ann. Math. Statist. 1954, 25, 76-84.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 76-84
    • Gumbel, E.J.1
  • 4
    • 0002515764 scopus 로고
    • Universal Bounds for Mean Range and Extreme Observation
    • Hartley, H.O.; David, H.A. Universal Bounds for Mean Range and Extreme Observation. Ann. Math. Statist. 1954, 25, 85-99.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 85-99
    • Hartley, H.O.1    David, H.A.2
  • 5
    • 0000917169 scopus 로고
    • p-Norm Bounds on the Expectation of the Maximum of a Possibly Dependent Sample
    • Arnold, B.C. p-Norm Bounds on the Expectation of the Maximum of a Possibly Dependent Sample. J. Multivariate Anal. 1985, 17, 316-332.
    • (1985) J. Multivariate Anal. , vol.17 , pp. 316-332
    • Arnold, B.C.1
  • 6
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    • Sharp Bounds on L-Estimates and Their Expectations for Dependent Samples
    • Rychlik, T. Sharp Bounds on L-Estimates and Their Expectations for Dependent Samples. Commun. Statist. Theory Meth. 1993, 22, 1053-1068.
    • (1993) Commun. Statist. Theory Meth. , vol.22 , pp. 1053-1068
    • Rychlik, T.1
  • 7
    • 84990490104 scopus 로고
    • On the Expected Values of Record Values
    • Nagaraja, H.N. On the Expected Values of Record Values. Austral. J. Statist. 1978, 20, 176-182.
    • (1978) Austral. J. Statist. , vol.20 , pp. 176-182
    • Nagaraja, H.N.1
  • 8
    • 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.; Szynal, D. On the Expected Values of k-th Record Values and Associated Characterizations of Distributions. In Probability and Statistical Decision Theory; Konecny, F., Mogyoródy, J., Wertz, W., Eds.; Reidel: Dordrecht, 1985; Vol. A, 119-127.
    • (1985) Probability and Statistical Decision Theory , vol.A , pp. 119-127
    • Grudzień, Z.1    Szynal, D.2
  • 9
    • 0031573282 scopus 로고    scopus 로고
    • Bounds Based on Greatest Convex Minorants for Moments of Record Values
    • Raqab, M.Z. Bounds Based on Greatest Convex Minorants for Moments of Record Values. Statist. Probab. Lett. 1997, 36, 35-41.
    • (1997) Statist. Probab. Lett. , vol.36 , pp. 35-41
    • Raqab, M.Z.1
  • 10
    • 0042715214 scopus 로고    scopus 로고
    • On the Moments of Record Values
    • Raqab, M.Z. On the Moments of Record Values. Commun. Statist. Theory Meth. 2000, 29, 1631-1647.
    • (2000) Commun. Statist. Theory Meth. , vol.29 , pp. 1631-1647
    • Raqab, M.Z.1
  • 11
    • 1642533271 scopus 로고    scopus 로고
    • Projecting Statistical Functionals
    • Springer: New York
    • Rychlik, T. Projecting Statistical Functionals, Lecture Notes in Statistics; Springer: New York, 2001; Vol. 160.
    • (2001) Lecture Notes in Statistics , vol.160
    • Rychlik, T.1
  • 12
    • 0042214070 scopus 로고    scopus 로고
    • Inequalities for Generalized Order Statistics from Some Restricted Family of Distributions
    • Gajek, L.; Okolewski, A. Inequalities for Generalized Order Statistics from Some Restricted Family of Distributions. Commun. Statist. Theory Meth. 2000, 29, 2427-2438.
    • (2000) Commun. Statist. Theory Meth. , vol.29 , pp. 2427-2438
    • Gajek, L.1    Okolewski, A.2
  • 14
    • 0003222276 scopus 로고
    • Relations, Bounds and Approximations for Order Statistics
    • Springer: New York
    • Arnold, B.C.; Balakrishnan, N. Relations, Bounds and Approximations for Order Statistics, Lecture Notes in Statistics; Springer: New York, 1989; Vol. 53.
    • (1989) Lecture Notes in Statistics , vol.53
    • Arnold, B.C.1    Balakrishnan, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.