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Volumn 33, Issue 4, 2005, Pages 787-803

Sharp Upper Bounds for Expectations of Differences of Order Statistics in Various Scale Units

Author keywords

H lder's inequality; Moriguti's inequality; Order statistics; pth central absolute moment; Sharp bound

Indexed keywords

FUNCTIONS; PROBLEM SOLVING; QUALITY CONTROL; SAMPLING;

EID: 1842531475     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/sta-120028726     Document Type: Article
Times cited : (8)

References (11)
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    • (1985) J. Multivar. Anal. , vol.17 , pp. 316-332
    • Arnold, B.C.1
  • 2
    • 0344628494 scopus 로고    scopus 로고
    • Exact bounds for expectations of spacings from DDA and DFRA families
    • Danielak, K., Rychlik, T. (2003a). Exact bounds for expectations of spacings from DDA and DFRA families. Statist. Probab. Lett. 65:303-316.
    • (2003) Statist. Probab. Lett. , vol.65 , pp. 303-316
    • Danielak, K.1    Rychlik, T.2
  • 4
    • 0001561177 scopus 로고    scopus 로고
    • Projection method for moment bounds on order statistics from restricted families. II. Independent case
    • Gajek, L., Rychlik, T. (1998). Projection method for moment bounds on order statistics from restricted families. II. Independent case. J. Multivar. Anal. 64:156-182.
    • (1998) J. Multivar. Anal. , vol.64 , pp. 156-182
    • Gajek, L.1    Rychlik, T.2
  • 5
    • 0010922916 scopus 로고
    • Differenzen der Erwartungswerte von Ranggrössen in Kleinen Stichproben
    • Brasov, Romania
    • Ludwig, O. (1973). Differenzen der Erwartungswerte von Ranggrössen in Kleinen Stichproben. In: Proceeding 4th Conference on Probability Theory. Brasov, Romania, pp. 299-303.
    • (1973) Proceeding 4th Conference on Probability Theory , pp. 299-303
    • Ludwig, O.1
  • 6
    • 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
  • 7
    • 1842473440 scopus 로고    scopus 로고
    • Exact bounds for the expectations of order statistics from non-negative populations
    • Papadatos, N. (1997). Exact bounds for the expectations of order statistics from non-negative populations. Ann. Inst. Statist. Math. 49:737-747.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 737-747
    • Papadatos, N.1
  • 8
    • 0013501280 scopus 로고
    • Limits of the ratio of mean range to standard deviation
    • Plackett, R. L. (1947). Limits of the ratio of mean range to standard deviation. Biometrica 34:120-122.
    • (1947) Biometrica , vol.34 , pp. 120-122
    • Plackett, R.L.1
  • 9
    • 0013525514 scopus 로고    scopus 로고
    • Bounds on expectations of L-estimates
    • Balakrishnan, N., Rao, C. R., eds. Amsterdam: North-Holland
    • Rychlik, T. (1998). Bounds on expectations of L-estimates. In: Balakrishnan, N., Rao, C. R., eds. Order Statistics - Theory & Methods. Handbook of Statistics. Vol. 16. Amsterdam: North-Holland, pp. 105-145.
    • (1998) Order Statistics - Theory & Methods. Handbook of Statistics , vol.16 , pp. 105-145
    • Rychlik, T.1
  • 10
    • 0006913802 scopus 로고
    • On variation diminishing approximation methods
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    • Schoenberg, I. J. (1959). On variation diminishing approximation methods. In: Langer, R. E., ed. Numer. Approx. Madison: Univ. Wisconsin Press, pp. 249-274, Proc. Sympos. Math. Res. Center, Madison, April 21-23, 1958.
    • (1959) Numer. Approx. , pp. 249-274
    • Schoenberg, I.J.1
  • 11
    • 1842420960 scopus 로고
    • Madison, April 21-23
    • Schoenberg, I. J. (1959). On variation diminishing approximation methods. In: Langer, R. E., ed. Numer. Approx. Madison: Univ. Wisconsin Press, pp. 249-274, Proc. Sympos. Math. Res. Center, Madison, April 21-23, 1958.
    • (1958) Proc. Sympos. Math. Res. Center


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.