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Volumn 29, Issue 6, 2001, Pages 1620-1652

A canonical process for estimation of convex functions: The "invelope" of integrated Brownian motion +t4

Author keywords

Convex function; Estimation; Gaussian process; Integrated brownian motion; Least squares

Indexed keywords


EID: 0035528156     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1015345957     Document Type: Article
Times cited : (57)

References (17)
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    • Brownian motion with a parabolic drift and Airy functions
    • GROENEBOOM, P. (1988). Brownian motion with a parabolic drift and Airy functions. Probab. Theory Related Fields 81 79-109.
    • (1988) Probab. Theory Related Fields , vol.81 , pp. 79-109
    • Groeneboom, P.1
  • 5
    • 0033164322 scopus 로고    scopus 로고
    • Integrated Brownian motion conditioned to be positive
    • GROENEBOOM, P., JONGBLOED, G. and WELLNER, J. A. (1999). Integrated Brownian motion conditioned to be positive. Ann. Probab. 27 1283-1303.
    • (1999) Ann. Probab. , vol.27 , pp. 1283-1303
    • Groeneboom, P.1    Jongbloed, G.2    Wellner, J.A.3
  • 6
    • 0035528158 scopus 로고    scopus 로고
    • Estimation of convex functions: Characterizations and asymptotic theory
    • GROENEBOOM, P., JONGBLOED, G. and WELLNER, J. A. (2001a). Estimation of convex functions: characterizations and asymptotic theory. Ann. Statist. 29 1653-1698.
    • (2001) Ann. Statist. , vol.29 , pp. 1653-1698
    • Groeneboom, P.1    Jongbloed, G.2    Wellner, J.A.3
  • 10
    • 0000899362 scopus 로고
    • Nonparametric regression under qualitative smoothness assumptions
    • MAMMEN, E. (1991). Nonparametric regression under qualitative smoothness assumptions. Ann. Statist. 19 741-759.
    • (1991) Ann. Statist. , vol.19 , pp. 741-759
    • Mammen, E.1
  • 12
    • 0002727835 scopus 로고
    • Estimation of a unimodal density
    • PRAKASA RAO, B. L. S. (1969). Estimation of a unimodal density. Sankhyā. Ser. A 31 23-36.
    • (1969) Sankhyā. Ser. A , vol.31 , pp. 23-36
    • Prakasa Rao, B.L.S.1
  • 15
    • 34249839748 scopus 로고
    • Statistics of shocks in solutions of inviscid Burgers equation
    • SINAI, Y. G. (1992). Statistics of shocks in solutions of inviscid Burgers equation. Comm. Math. Phys. 148 601-621.
    • (1992) Comm. Math. Phys. , vol.148 , pp. 601-621
    • Sinai, Y.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.