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Volumn 37, Issue 6 A, 2009, Pages 3307-3329

Estimation of functional derivatives

Author keywords

Consistency; Functional data analysis; Gradient field; Growth curve; Karhunen lo ve expansion; Principal component; Small ball probability

Indexed keywords


EID: 69949145955     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOS686     Document Type: Article
Times cited : (31)

References (24)
  • 1
    • 0000923503 scopus 로고
    • Asymptotic theory of certain "goodness of fit" criteria based on stochastic processes
    • MR0050238
    • ANDERSON, T. and DARLING, D. (1952). Asymptotic theory of certain "goodness of fit" criteria based on stochastic processes. Ann. Math. Statistics 23 193-212. MR0050238
    • (1952) Ann. Math. Statistics , vol.23 , pp. 193-212
    • Anderson, T.1    Darling, D.2
  • 3
    • 0041459525 scopus 로고    scopus 로고
    • Spline estimators for the functional linear model
    • CARDOT, H., FERRATY, F. and SARDA, P. (2003). Spline estimators for the functional linear model. Statist. Sinica 13 571-591. MR1997162 (Pubitemid 37155842)
    • (2003) Statistica Sinica , vol.13 , Issue.3 , pp. 571-591
    • Cardot, H.1    Ferraty, F.2    Sarda, P.3
  • 4
    • 0036622664 scopus 로고    scopus 로고
    • Linear functional regression: The case of fixed design and functional response
    • MR1926066
    • CUEVAS, A., FEBRERO, M. and FRAIMAN, R. (2002). Linear functional regression: The case of fixed design and functional response. Canad. J. Statist. 30 285-300. MR1926066
    • (2002) Canad. J. Statist , vol.30 , pp. 285-300
    • Cuevas, A.1    Febrero, M.2    Fraiman, R.3
  • 5
    • 34548232194 scopus 로고    scopus 로고
    • Nonparametric regression on functional data: Inference and practical aspects
    • MR2396496
    • FERRATY, F., MAS, A. and VIEU, P. (2007). Nonparametric regression on functional data: Inference and practical aspects. Aust. N.Z. J. Stat. 49 459-461. MR2396496
    • (2007) Aust. N.Z. J. Stat , vol.49 , pp. 459-461
    • Ferraty, F.1    Mas, A.2    Vieu, P.3
  • 6
    • 0141989607 scopus 로고    scopus 로고
    • Curves discrimination: A nonparametric functional approach
    • MR2020144
    • FERRATY, F. and VIEU, P. (2003). Curves discrimination: A nonparametric functional approach. Comput. Statist. Data Anal. 44 161-173. MR2020144
    • (2003) Comput. Statist. Data Anal , vol.44 , pp. 161-173
    • Ferraty, F.1    Vieu, P.2
  • 7
    • 0842264210 scopus 로고    scopus 로고
    • Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination
    • MR2053065
    • FERRATY, F. and VIEU, P. (2004). Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination. J. Nonparametr. Stat. 16 111-125. MR2053065
    • (2004) J. Nonparametr. Stat , vol.16 , pp. 111-125
    • Ferraty, F.1    Vieu, P.2
  • 9
    • 0000546952 scopus 로고    scopus 로고
    • Nonparametric estimation of the mode of a distribution of random curves
    • MR1649539
    • GASSER, T., Hall, P. and PRESNELL, B. (1998). Nonparametric estimation of the mode of a distribution of random curves. J. R. Stat. Soc. Ser. B Stat. Methodol. 60 681-691. MR1649539
    • (1998) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.60 , pp. 681-691
    • Gasser, T.1    Hall, P.2    Presnell, B.3
  • 11
    • 10644280647 scopus 로고    scopus 로고
    • Comparison theorems for small deviations of random series
    • MR2041822
    • GAO, F., HANNIG, J. and TORCASO, F. (2003). Comparison theorems for small deviations of random series. Electron. J. Probab. 8 17pp. MR2041822
    • (2003) Electron. J. Probab , vol.8 , pp. 17
    • Gao, F.1    Hannig, J.2    Torcaso, F.3
  • 12
    • 27944498298 scopus 로고    scopus 로고
    • Nonparametric maximum likelihood estimation of the structural mean of a sample of curves
    • MR2234187
    • Gervini, D. and Gasser, T. (2005). Nonparametric maximum likelihood estimation of the structural mean of a sample of curves. Biometrika 92 801-820. MR2234187
    • (2005) Biometrika , vol.92 , pp. 801-820
    • Gervini, D.1    Gasser, T.2
  • 13
    • 0142143806 scopus 로고    scopus 로고
    • Estimating and depicting the structure of a distribution of random functions
    • MR1888371
    • Hall, P. and Heckman, N. E. (2002). Estimating and depicting the structure of a distribution of random functions. Biometrika 89 145-158. MR1888371
    • (2002) Biometrika , vol.89 , pp. 145-158
    • Hall, P.1    Heckman, N.E.2
  • 14
    • 35348874516 scopus 로고    scopus 로고
    • Methodology and convergence rates for functional linear regression
    • MR2332269
    • Hall, P. and Horowitz, J. L. (2007). Methodology and convergence rates for functional linear regression. Ann. Statist. 35 70-91. MR2332269
    • (2007) Ann. Statist , vol.35 , pp. 70-91
    • Hall, P.1    Horowitz, J.L.2
  • 15
    • 19744373290 scopus 로고    scopus 로고
    • Functional adaptive model estimation
    • MR2160560
    • James, G. and Silverman, B. (2005). Functional adaptive model estimation. J. Amer. Statist. Assoc. 100 565-576. MR2160560
    • (2005) J. Amer. Statist. Assoc , vol.100 , pp. 565-576
    • James, G.1    Silverman, B.2
  • 16
    • 21144472058 scopus 로고
    • Statistical tools to analyze data representing a sample of curves
    • MR1186250
    • Kneip, A. and Gasser, T. (1992). Statistical tools to analyze data representing a sample of curves. Ann. Statist. 20 1266-1305. MR1186250
    • (1992) Ann. Statist , vol.20 , pp. 1266-1305
    • Kneip, A.1    Gasser, T.2
  • 17
    • 0001501999 scopus 로고
    • Some tools for functional data analysis (with discussion
    • MR1125714
    • Ramsay, J.O. and Dalzell, C. J. (1991). Some tools for functional data analysis (with discussion). J. Roy. Statist. Soc. Ser. B 53 539-572. MR1125714
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 539-572
    • Ramsay, J.O.1    Dalzell, C.J.2
  • 20
    • 0002289285 scopus 로고
    • Some statistical methods for comparison of growth curves
    • Rao, C. R. (1958). Some statistical methods for comparison of growth curves. Biometrics 14 1-17.
    • (1958) Biometrics , vol.14 , pp. 1-17
    • Rao, C.R.1
  • 21
    • 77049180957 scopus 로고
    • Physical growth of California boys and girls from birth to age 18
    • Tuddenham, R. and Snyder, M. (1954). Physical growth of California boys and girls from birth to age 18. Calif Publ. Child Develop. 1 183-364.
    • (1954) Calif Publ. Child Develop , vol.1 , pp. 183-364
    • Tuddenham, R.1    Snyder, M.2
  • 22
    • 0041332955 scopus 로고    scopus 로고
    • Shrinkage estimation for functional principal component scores with application to the population kinetics of plasma folate
    • MR2004273
    • Yao, F., Müller, H.-G., Clifford, A. J., Dueker, S. R., Follett, J., Lin, Y., Buchholz, B. A. and Vogel, J. S. (2003). Shrinkage estimation for functional principal component scores with application to the population kinetics of plasma folate. Biometrics 59 676-685. MR2004273
    • (2003) Biometrics , vol.59 , pp. 676-685
    • Yao, F.1    Müller, H.-G.2    Clifford, A.J.3    Dueker, S.R.4    Follett, J.5    Lin, Y.6    Buchholz, B.A.7    Vogel, J.S.8
  • 23
    • 19744375466 scopus 로고    scopus 로고
    • Functional data analysis for sparse longitudinal data
    • MR2160561
    • Yao, F., Müller, H.-G. and Wang, J.-L. (2005a). Functional data analysis for sparse longitudinal data. J. Amer. Statist. Assoc. 100 577-590. MR2160561
    • (2005) J. Amer. Statist. Assoc , vol.100 , pp. 577-590
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3
  • 24
    • 19744369661 scopus 로고    scopus 로고
    • Functional linear regression analysis for longitudinal data
    • MR2253106
    • Yao, F., Müller, H.-G. and Wang, J.-L. (2005b). Functional linear regression analysis for longitudinal data. Ann. Statist. 33 2873-2903. MR2253106
    • (2005) Ann. Statist , vol.33 , pp. 2873-2903
    • Yao, F.1    Müller, H.-G.2    Wang, J.-L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.