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Volumn 43, Issue 1, 2009, Pages 13-33

Advances on asymptotic normality in non-parametric functional time series analysis

Author keywords

mixing variables; Asymptotic normality; Functional data; Non parametric regression; Time series

Indexed keywords


EID: 61449267815     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331880802184961     Document Type: Article
Times cited : (54)

References (21)
  • 3
    • 8644286824 scopus 로고    scopus 로고
    • Introduction to:'Emerging issues in longitudinal data and functional data analysis
    • M. Davidian, X. Lin, and J.L. Wang, Introduction to:'Emerging issues in longitudinal data and functional data analysis, Statist. Sinica 14 (2004), pp. 613-614.
    • (2004) Statist. Sinica , vol.14 , pp. 613-614
    • Davidian, M.1    Lin, X.2    Wang, J.L.3
  • 4
    • 34247380333 scopus 로고    scopus 로고
    • Editorial] Statistics for functional data
    • W. Gonzalez-Manteiga and P. Vieu [Editorial] Statistics for functional data, Comput. Statist. Data Anal. 51(10) (2007), pp. 4788-4792.
    • (2007) Comput. Statist. Data Anal , vol.51 , Issue.10 , pp. 4788-4792
    • Gonzalez-Manteiga, W.1    Vieu, P.2
  • 6
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for non-parametric regression
    • C. Stone, Optimal global rates of convergence for non-parametric regression, Ann. Statist. 10(4) (1981), pp. 1040-1053.
    • (1981) Ann. Statist , vol.10 , Issue.4 , pp. 1040-1053
    • Stone, C.1
  • 7
    • 0003144972 scopus 로고    scopus 로고
    • Modelization, Nonparametric Estimation and Prediction for Continuous Time Proccesses
    • G. Roussas ed, Nonparametric functional estimation and related topics, Kluwer, pp
    • D. Bosq, Modelization, Nonparametric Estimation and Prediction for Continuous Time Proccesses, In G. Roussas ed., Nonparametric functional estimation and related topics, NATO ASI Series, Vol. 335, Kluwer, pp. 509-530.
    • NATO ASI Series , vol.335 , pp. 509-530
    • Bosq, D.1
  • 8
    • 0012042373 scopus 로고    scopus 로고
    • Linear processes in Function Spaces
    • Springer-Verlag, New York
    • D. Bosq, Linear processes in Function Spaces, Lecture Notes in Statistics, Vol. 149, Springer-Verlag, New York, 2000.
    • (2000) Lecture Notes in Statistics , vol.149
    • Bosq, D.1
  • 9
    • 0036988938 scopus 로고    scopus 로고
    • Functional nonparametric model for time series: A fractal approach for dimension reduction
    • F. Ferraty, A. Goia, and P. Vieu, Functional nonparametric model for time series: a fractal approach for dimension reduction, Test 11(2) (2002), pp. 317-344.
    • (2002) Test , vol.11 , Issue.2 , pp. 317-344
    • Ferraty, F.1    Goia, A.2    Vieu, P.3
  • 10
    • 10244243742 scopus 로고    scopus 로고
    • Nonparametric regression estimation for dependent functional data: Asymptotic normality
    • E. Masry, Nonparametric regression estimation for dependent functional data: asymptotic normality, Stochastic Process, Appl. 115(1) (2005), pp. 155-177.
    • (2005) Stochastic Process, Appl , vol.115 , Issue.1 , pp. 155-177
    • Masry, E.1
  • 11
    • 34548232194 scopus 로고    scopus 로고
    • Nonparametric regression on functional data : Inference and practical aspects
    • F. Ferraty,A.Mas, and P.Vieu, Nonparametric regression on functional data : inference and practical aspects, Aust N. Z. J. Stat. 49 (2007), pp. 267-286.
    • (2007) Aust N. Z. J. Stat , vol.49 , pp. 267-286
    • Ferraty, F.1    Mas, A.2    Vieu, P.3
  • 14
    • 0001889096 scopus 로고    scopus 로고
    • Nonparametric Statistics for Stochastic Processes, Estimation and Prediction
    • Springer-Verlag, NewYork
    • D. Bosq, Nonparametric Statistics for Stochastic Processes, Estimation and Prediction, Lecture Notes in Statistics, Vol. 110, Springer-Verlag, NewYork, 1996.
    • (1996) Lecture Notes in Statistics , vol.110
    • Bosq, D.1
  • 15
    • 4644299876 scopus 로고    scopus 로고
    • Central limit theorems for a-mixing triangular arrays with applications to nonparametric statistics, Math
    • E. Liebscher, Central limit theorems for a-mixing triangular arrays with applications to nonparametric statistics, Math. Methods Stat. 10(2) (2001), pp. 194-214.
    • (2001) Methods Stat , vol.10 , Issue.2 , pp. 194-214
    • Liebscher, E.1
  • 16
    • 0002605356 scopus 로고
    • A central limit theorem and a strong mixing condition
    • M. Rosenblatt, A central limit theorem and a strong mixing condition, Proc. Nat. Acad. Sci. U. S. A. 42 (1956), pp. 43-47.
    • (1956) Proc. Nat. Acad. Sci. U. S. A , vol.42 , pp. 43-47
    • Rosenblatt, M.1
  • 17
    • 35348861341 scopus 로고    scopus 로고
    • CLT and Lp errors in nonparametric functional regression
    • L. Delsol, CLT and Lp errors in nonparametric functional regression, C. R. Math., 345 (7) (2007), pp. 411-414.
    • (2007) C. R. Math , vol.345 , Issue.7 , pp. 411-414
    • Delsol, L.1
  • 18
    • 0001501999 scopus 로고
    • Some tools for functional data analysis. [with discussion and a reply by the authors]
    • J.O. Ramsay and C.J. Dalzell, Some tools for functional data analysis. [with discussion and a reply by the authors], J. Roy. Statist. Soc. (Ser. B), 53(3) (1991), pp. 539-572.
    • (1991) J. Roy. Statist. Soc. (Ser. B) , vol.53 , Issue.3 , pp. 539-572
    • Ramsay, J.O.1    Dalzell, C.J.2
  • 19
    • 84972488102 scopus 로고
    • Generalized additive models. [with discussion]
    • T. Hastie and R. Tibshirani, Generalized additive models. [with discussion] Statist. Sci. 1 (1986), pp. 297-318.
    • (1986) Statist. Sci , vol.1 , pp. 297-318
    • Hastie, T.1    Tibshirani, R.2
  • 20
    • 51149092985 scopus 로고    scopus 로고
    • Ozone pollution forecasting using conditional mean and conditional quantiles with functional covariates
    • Springer, Berlin, Heidelberg
    • H. Cardot, C. Crambes, and P. Sarda, Ozone pollution forecasting using conditional mean and conditional quantiles with functional covariates, Statistical Methods for Biostatistics and related fields, Springer, Berlin, Heidelberg, 2007, pp. 221-243.
    • (2007) Statistical Methods for Biostatistics and related fields , pp. 221-243
    • Cardot, H.1    Crambes, C.2    Sarda, P.3
  • 21
    • 34248189605 scopus 로고    scopus 로고
    • Nonparametric regression for functional data: Automatic smoothing parameter selection
    • M. Rachdi and P. Vieu, Nonparametric regression for functional data: automatic smoothing parameter selection, J. Statist. Plann. Inference 137(9) (2007), pp. 2784-2801.
    • (2007) J. Statist. Plann. Inference , vol.137 , Issue.9 , pp. 2784-2801
    • Rachdi, M.1    Vieu, P.2


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