메뉴 건너뛰기




Volumn , Issue , 2003, Pages 61-76

Functional nonparametric statistics: A double infinite dimensional framework

Author keywords

[No Author keywords available]

Indexed keywords


EID: 14544293354     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044451378-6/50005-3     Document Type: Chapter
Times cited : (16)

References (48)
  • 4
    • 0001889096 scopus 로고    scopus 로고
    • Nonparametric Statistics for Stochastic Processes: Estimation and Prediction
    • 2nd edition.
    • Bosq D. Nonparametric Statistics for Stochastic Processes: Estimation and Prediction. Lecture Notes in Statistics 1998, 110. 2nd edition.
    • (1998) Lecture Notes in Statistics , vol.110
    • Bosq, D.1
  • 5
    • 85031228730 scopus 로고
    • Modelization, nonparametric estimation and prediction for continuous time processes
    • G.G. Roussas (Ed.) Nonparametric functional estimation and related topics
    • Bosq D. Modelization, nonparametric estimation and prediction for continuous time processes. NATO ASI Series Kluwer Academic Publishers 1990, G.G. Roussas (Ed.).
    • (1990) NATO ASI Series Kluwer Academic Publishers
    • Bosq, D.1
  • 6
    • 0004145662 scopus 로고    scopus 로고
    • Linear Processes in Function Spaces: Theory and Applications
    • Springer-Verlag, Sunderland Massachusetts
    • Bosq D. Linear Processes in Function Spaces: Theory and Applications. Lecture Notes in Statistics 149 2000, Springer-Verlag, Sunderland Massachusetts.
    • (2000) Lecture Notes in Statistics 149
    • Bosq, D.1
  • 7
    • 3042939731 scopus 로고
    • Nonparametric prediction of a Hilbert space valued random variable
    • Bosq D., Delecroix M. Nonparametric prediction of a Hilbert space valued random variable. Stochatic Process Appl. 1985, (No. 19):271 280.
    • (1985) Stochatic Process Appl. , Issue.19
    • Bosq, D.1    Delecroix, M.2
  • 10
    • 34250141475 scopus 로고
    • Propriétés de convergence presque complète du prédicteur à noyau
    • Collomb G. Propriétés de convergence presque complète du prédicteur à noyau. Z. Wahrsch. verw. Geb. 1984, (No. 66):441 460.
    • (1984) Z. Wahrsch. verw. Geb. , Issue.66
    • Collomb, G.1
  • 11
    • 0036622664 scopus 로고    scopus 로고
    • Linear function regression: the case of fixed design and functional response
    • Cuevas A., Febrero M., Fraiman R. Linear function regression: the case of fixed design and functional response. Canad. J. of Statistics 2002, (No. 30):285 300.
    • (2002) Canad. J. of Statistics , Issue.30
    • Cuevas, A.1    Febrero, M.2    Fraiman, R.3
  • 12
    • 0036829580 scopus 로고    scopus 로고
    • The inclusion of exogenous variables in functional autoregressive ozone forecasting
    • Damon J., Guillas S. The inclusion of exogenous variables in functional autoregressive ozone forecasting. Environmetrics 2002, (No. 13):759 774.
    • (2002) Environmetrics , Issue.13
    • Damon, J.1    Guillas, S.2
  • 13
    • 0000568602 scopus 로고
    • Distribution-free consistency results in noparametric discrimination and regression function estimation
    • Devroye L., Wagner T.J. Distribution-free consistency results in noparametric discrimination and regression function estimation. Ann. of Statist 1980, 8:231 239.
    • (1980) Ann. of Statist , vol.8
    • Devroye, L.1    Wagner, T.J.2
  • 16
    • 0036988938 scopus 로고    scopus 로고
    • Functional model for time series: a fractal approach to dimension reduction
    • Ferraty F., Goia A., Vieu Ph. Functional model for time series: a fractal approach to dimension reduction. Test 2002, (No. 11):317 344.
    • (2002) Test , Issue.11
    • Ferraty, F.1    Goia, A.2    Vieu, P.3
  • 21
    • 0001614592 scopus 로고    scopus 로고
    • Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés (in french)
    • Ferraty F., Vieu Ph. Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés (in french). C.R. Acad. Sci. Paris 2000, (No. 330):403 406.
    • (2000) C.R. Acad. Sci. Paris , Issue.330
    • Ferraty, F.1    Vieu, P.2
  • 23
    • 0036448834 scopus 로고    scopus 로고
    • The functional nonparametric model and application to spectrometric data
    • Ferraty F., Vieu Ph. The functional nonparametric model and application to spectrometric data. Computational Statistics 2002, (No. 17):545 564.
    • (2002) Computational Statistics , Issue.17
    • Ferraty, F.1    Vieu, P.2
  • 25
    • 0141910803 scopus 로고    scopus 로고
    • Nonparametric models for functional data, with applications in regression, time series prediction and curves discrimination
    • print
    • Ferraty F., Vieu Ph. Nonparametric models for functional data, with applications in regression, time series prediction and curves discrimination. J. Nonparametric Statistics 2003, In print.
    • (2003) J. Nonparametric Statistics
    • Ferraty, F.1    Vieu, P.2
  • 26
    • 0000546952 scopus 로고    scopus 로고
    • Nonparametric estimation of the mode of a distribution of random curves
    • Gasser T., Hall P., Presnell B. Nonparametric estimation of the mode of a distribution of random curves. J. R. Statist. Soc. B 1998, (No. 60):681 691.
    • (1998) J. R. Statist. Soc. B , Issue.60
    • Gasser, T.1    Hall, P.2    Presnell, B.3
  • 27
    • 1842676526 scopus 로고
    • Estimation de la densité dans une espace métrique
    • Geffroy J. Estimation de la densité dans une espace métrique. C.R. Acad. Sci. Paris 1974, (No. 278):1149 1452.
    • (1974) C.R. Acad. Sci. Paris , Issue.278
    • Geffroy, J.1
  • 28
    • 85031213364 scopus 로고    scopus 로고
    • Contribution à l'étude des modèles de régression pour variables aléatoires fonctionnelles (in french)
    • Goia A. Contribution à l'étude des modèles de régression pour variables aléatoires fonctionnelles (in french). PhD Toulouse III 2003.
    • (2003) PhD Toulouse III
    • Goia, A.1
  • 29
    • 0142143806 scopus 로고    scopus 로고
    • Estimating and depicting the structure of a distribution of random functions
    • Hall P., Heckman N. Estimating and depicting the structure of a distribution of random functions. Biometrika 2002, (No. 89):145 158.
    • (2002) Biometrika , Issue.89
    • Hall, P.1    Heckman, N.2
  • 30
    • 0035252777 scopus 로고    scopus 로고
    • A functional data-analytic approach to signal discrimination
    • Hall P., Poskitt P., Presnell D. A functional data-analytic approach to signal discrimination. Technometrics 2001, (No. 43):1 9.
    • (2001) Technometrics , Issue.43
    • Hall, P.1    Poskitt, P.2    Presnell, D.3
  • 31
    • 85031225689 scopus 로고
    • Optimal bandwidth selection
    • Härdle W., Marron J. Optimal bandwidth selection. Ann. of Statist. 1985, (No. 13(4)):1465 1487.
    • (1985) Ann. of Statist. , vol.13 , Issue.4
    • Härdle, W.1    Marron, J.2
  • 34
    • 21844496023 scopus 로고
    • General approach to nonparametric histogram estimation
    • Jacob P., Oliveira P. General approach to nonparametric histogram estimation. Statistics 1995, (No. 27):73 92.
    • (1995) Statistics , Issue.27
    • Jacob, P.1    Oliveira, P.2
  • 35
    • 0041674369 scopus 로고
    • On the absolute continuity of measures corresponding to processes of diffusion type relative to a Wiener measure
    • Lipster R., Shiryayev A. On the absolute continuity of measures corresponding to processes of diffusion type relative to a Wiener measure. Izv Akad Nauk SSSR Ser Mat 1972, (No. 36):4.
    • (1972) Izv Akad Nauk SSSR Ser Mat , Issue.36 , pp. 4
    • Lipster, R.1    Shiryayev, A.2
  • 36
    • 85031229093 scopus 로고    scopus 로고
    • Estimation de la densité en dimension infinie: Application aux processus de type diffusion (in french)
    • Niang S. Estimation de la densité en dimension infinie: Application aux processus de type diffusion (in french). C.R. Acad. Sci. Paris 2002, (No. 334):213 216.
    • (2002) C.R. Acad. Sci. Paris , Issue.334
    • Niang, S.1
  • 37
    • 33646503880 scopus 로고    scopus 로고
    • Sur l'estimation de la densité en dimension infinie: application aux diffusions (in french)
    • Niang S. Sur l'estimation de la densité en dimension infinie: application aux diffusions (in french). PhD Paris VI 2002.
    • (2002) PhD Paris VI
    • Niang, S.1
  • 38
    • 21144463609 scopus 로고
    • On rigourous mathematical definitions of correlation dimension and generalized spectrum for dimensions
    • Pesin Ya.B. On rigourous mathematical definitions of correlation dimension and generalized spectrum for dimensions. J. Statis. Phys. 1993, 71:529 547.
    • (1993) J. Statis. Phys. , vol.71
    • Pesin, Y.1
  • 42
    • 4243695384 scopus 로고    scopus 로고
    • Théorie asymptotique des processus faiblement dépendants (in french)
    • Rio E. Théorie asymptotique des processus faiblement dépendants (in french). SMAI Math & Applications 31 Springer 1999.
    • (1999) SMAI Math & Applications 31 Springer
    • Rio, E.1
  • 43
    • 0001700439 scopus 로고
    • Nonparametric estimation of the transition distribution function of a Markov process
    • Roussas G. Nonparametric estimation of the transition distribution function of a Markov process. Ann. Math. Statist. 1969, (No. 40):1386 1400.
    • (1969) Ann. Math. Statist. , Issue.40
    • Roussas, G.1
  • 44
    • 38249022033 scopus 로고
    • Non-parametric estimation of conditional quantiles
    • Samanta M. Non-parametric estimation of conditional quantiles. Statist. & Proba. Lett. 1989, (No. 7):407 412.
    • (1989) Statist. & Proba. Lett. , Issue.7
    • Samanta, M.1
  • 48
    • 0038244594 scopus 로고    scopus 로고
    • Propriétés de convergence de l'estimateur à noyau de la densité conditionnelle (in french)
    • Youndjé E. Propriétés de convergence de l'estimateur à noyau de la densité conditionnelle (in french). Rev. Roumaine Math. Pures Appl. 1996, (No. 41).
    • (1996) Rev. Roumaine Math. Pures Appl. , Issue.41
    • Youndjé, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.