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Volumn 33, Issue 2, 2006, Pages 279-291

On the distance between cumulative sum diagram and its greatest convex minorant for unequally spaced design points

Author keywords

Greatest convex minorant; Hungarian representation; Marshall's lemma; Modulus of continuity; Monotone function

Indexed keywords


EID: 33745322939     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2006.00461.x     Document Type: Article
Times cited : (9)

References (9)
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    • On the distance between the empirical process and its concave majorant in a monotone regression framework
    • Durot, C. & Tocquet, A. S. (2003). On the distance between the empirical process and its concave majorant in a monotone regression framework. Ann. Inst. H. Poincaré Probab. Statist, PR 39, 217-240.
    • (2003) Ann. Inst. H. Poincaré Probab. Statist , vol.39 PR , pp. 217-240
    • Durot, C.1    Tocquet, A.S.2
  • 3
    • 0002842430 scopus 로고
    • Asymptotically minimax estimation of concave and convex distribution functions
    • Kiefer, J. & Wolfowitz, J. (1976). Asymptotically minimax estimation of concave and convex distribution functions. Z. Wahrsch. verw. Geb. 34, 73-85.
    • (1976) Z. Wahrsch. Verw. Geb. , vol.34 , pp. 73-85
    • Kiefer, J.1    Wolfowitz, J.2
  • 4
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent RVs and the sample DF-I
    • Komlos, J., Major, P. & Tusnady, G. (1975). An approximation of partial sums of independent RVs and the sample DF-I. Z. Wahrsch. verw. Geh. 32, 111-131.
    • (1975) Z. Wahrsch. Verw. Geh. , vol.32 , pp. 111-131
    • Komlos, J.1    Major, P.2    Tusnady, G.3
  • 6
    • 0034237944 scopus 로고    scopus 로고
    • On the degrees of freedom in shape-restricted regression
    • Meyer, M. & Woodroofe, M. (2000). On the degrees of freedom in shape-restricted regression. Ann. Statist. 28, 1083-1104.
    • (2000) Ann. Statist. , vol.28 , pp. 1083-1104
    • Meyer, M.1    Woodroofe, M.2
  • 7
    • 0000290116 scopus 로고
    • Monotone nonparametric regression
    • Mukherjee, H. (1988). Monotone nonparametric regression. Ann. Statist. 16, 741-750.
    • (1988) Ann. Statist. , vol.16 , pp. 741-750
    • Mukherjee, H.1
  • 9
    • 0004272666 scopus 로고    scopus 로고
    • Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, Cambridge
    • Van der Vaart, A. (1998). Asymptotic statistics. Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, Cambridge.
    • (1998) Asymptotic Statistics
    • Van Der Vaart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.