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Volumn 52, Issue 1, 2000, Pages 45-61

Strong uniform convergence for the estimator of the regression function under φ-mixing conditions

Author keywords

Convergence rate; Improved kernel estimator; Nonparametric regression; Strong uniform convergence; mixing

Indexed keywords


EID: 0034354061     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840000059     Document Type: Article
Times cited : (6)

References (13)
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    • Cheng, P.1
  • 3
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    • Proprietes de convergence presque complete du predicteur a noyau
    • Collomb G (1984) Proprietes de convergence presque complete du predicteur a noyau. Z Wahrsch verw Gebiete 66:441-460
    • (1984) Z Wahrsch Verw Gebiete , vol.66 , pp. 441-460
    • Collomb, G.1
  • 5
    • 0000337890 scopus 로고
    • Strong uniform consistency rates for estimators of conditional functionals
    • Härdle W, Janssen P, Serfling R (1988) Strong uniform consistency rates for estimators of conditional functionals. Ann Statist 16:1428-1449
    • (1988) Ann Statist , vol.16 , pp. 1428-1449
    • Härdle, W.1    Janssen, P.2    Serfling, R.3
  • 6
    • 0001880950 scopus 로고
    • Consistency of an improved kernel regression estimate
    • Hu S (1993) Consistency of an improved kernel regression estimate. J Sys Sci & Math Scis 13(2):145-151
    • (1993) J Sys Sci & Math Scis , vol.13 , Issue.2 , pp. 145-151
    • Hu, S.1
  • 8
    • 0001194690 scopus 로고
    • Weak and strong uniform consistency of kernel regression estimates
    • Mack YP, Silverman B (1982) Weak and strong uniform consistency of kernel regression estimates. Z Wahrsch verw Gebiete 61:405-415
    • (1982) Z Wahrsch Verw Gebiete , vol.61 , pp. 405-415
    • Mack, Y.P.1    Silverman, B.2
  • 9
    • 0000570382 scopus 로고
    • On estimating regression
    • Nadaraya EA (1964) On estimating regression. Theor Probab Appl 9:141-142
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    • Nadaraya, E.A.1
  • 10
    • 0001473437 scopus 로고
    • On estimation of a probability density function and the mode
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    • (1962) Ann Math Statist , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 11
    • 0000624030 scopus 로고
    • Properties of uniform consistency of kernel estimators of density and regression functions under dependence assumptions
    • Peligrad M (1992) Properties of uniform consistency of kernel estimators of density and regression functions under dependence assumptions. Stoch Stoch Reports 40:147-168
    • (1992) Stoch Stoch Reports , vol.40 , pp. 147-168
    • Peligrad, M.1
  • 12
    • 0000439527 scopus 로고
    • Optimal global rates of convergence of nonparametric regression
    • Stone CJ (1982) Optimal global rates of convergence of nonparametric regression. Ann Statist 10:1040-1053
    • (1982) Ann Statist , vol.10 , pp. 1040-1053
    • Stone, C.J.1
  • 13
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    • Smooth regression analysis
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    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.