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Volumn 76, Issue 16, 2006, Pages 1781-1786

The limit process of the difference between the empirical distribution function and its concave majorant

Author keywords

Brownian motion with parabolic drift; Empirical distribution function; Isotonic estimation; Least concave majorant; Monotone density

Indexed keywords


EID: 33747172487     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.04.026     Document Type: Article
Times cited : (11)

References (7)
  • 1
    • 0037334377 scopus 로고    scopus 로고
    • On the distance between the empirical process and its concave majorant in a monotone regression framework
    • Durot C., and Toquet A.S. On the distance between the empirical process and its concave majorant in a monotone regression framework. Ann. Inst. H. Poincaré Probab. Statist. 39 (2002) 217-240
    • (2002) Ann. Inst. H. Poincaré Probab. Statist. , vol.39 , pp. 217-240
    • Durot, C.1    Toquet, A.S.2
  • 3
    • 0002842430 scopus 로고
    • Asymptotically minimax estimation of concave and convex distribution functions
    • Kiefer J., and Wolfowitz J. Asymptotically minimax estimation of concave and convex distribution functions. Z. Wahrsch. Gebiete 34 (1976) 73-85
    • (1976) Z. Wahrsch. Gebiete , vol.34 , pp. 73-85
    • Kiefer, J.1    Wolfowitz, J.2
  • 4
    • 0000411204 scopus 로고
    • An approximation of partial sums of independent RV's and the sample DF
    • Kómlos J., Major P., and Tusnády G. An approximation of partial sums of independent RV's and the sample DF. Z. Wahrsch. Gebiete 32 (1975) 111-131
    • (1975) Z. Wahrsch. Gebiete , vol.32 , pp. 111-131
    • Kómlos, J.1    Major, P.2    Tusnády, G.3
  • 5
    • 33747201222 scopus 로고    scopus 로고
    • Kulikov, V.N., 2003. Direct and indirect use of maximum likelihood. Ph.D. Thesis, TU Delft.
  • 7
    • 38149146723 scopus 로고
    • The limit distribution of the concave majorant of an empirical distribution function
    • Wang Y. The limit distribution of the concave majorant of an empirical distribution function. Statist. Probab. Lett. 20 (1994) 81-84
    • (1994) Statist. Probab. Lett. , vol.20 , pp. 81-84
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.