메뉴 건너뛰기




Volumn 108, Issue , 2012, Pages 1-14

Quantiles for finite and infinite dimensional data

Author keywords

High dimensional multivariate data; Hilbert space; Primary; Principal quantile directions; Quantiles for functional data; Secondary

Indexed keywords


EID: 84857675993     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2012.01.016     Document Type: Article
Times cited : (25)

References (35)
  • 1
    • 0043115373 scopus 로고
    • Uniform convergence of probability measures on classes of functions
    • Bickel P.J., Millar P.W. Uniform convergence of probability measures on classes of functions. Statist. Sinica 1992, 2(1):1-15.
    • (1992) Statist. Sinica , vol.2 , Issue.1 , pp. 1-15
    • Bickel, P.J.1    Millar, P.W.2
  • 3
    • 38249038040 scopus 로고
    • Asymptotic theory for robust principal components
    • Boente G. Asymptotic theory for robust principal components. J. Multivariate Anal. 1987, 21(1):67-78.
    • (1987) J. Multivariate Anal. , vol.21 , Issue.1 , pp. 67-78
    • Boente, G.1
  • 4
    • 0010741912 scopus 로고    scopus 로고
    • Kernel-based functional principal components
    • Boente G., Fraiman R. Kernel-based functional principal components. Statist. Probab. Lett. 2000, 48(4):335-345.
    • (2000) Statist. Probab. Lett. , vol.48 , Issue.4 , pp. 335-345
    • Boente, G.1    Fraiman, R.2
  • 5
    • 0030540155 scopus 로고    scopus 로고
    • On a geometric notion of quantiles for multivariate data
    • Chaudhuri P. On a geometric notion of quantiles for multivariate data. J. Amer. Statist. Assoc. 1996, 91(434):862-872.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , Issue.434 , pp. 862-872
    • Chaudhuri, P.1
  • 6
    • 33845723176 scopus 로고    scopus 로고
    • Random projections and goodness-of-fit tests in infinite-dimensional spaces
    • Cuesta-Albertos J.A., Fraiman R., Ransford T. Random projections and goodness-of-fit tests in infinite-dimensional spaces. Bull. Braz. Math. Soc. (N.S.) 2006, 37(4):477-501.
    • (2006) Bull. Braz. Math. Soc. (N.S.) , vol.37 , Issue.4 , pp. 477-501
    • Cuesta-Albertos, J.A.1    Fraiman, R.2    Ransford, T.3
  • 7
    • 36049026510 scopus 로고    scopus 로고
    • Robust estimation and classification for functional data via projection-based depth notions
    • Cuevas A., Febrero M., Fraiman R. Robust estimation and classification for functional data via projection-based depth notions. Comput. Statist. 2007, 22(3):481-496.
    • (2007) Comput. Statist. , vol.22 , Issue.3 , pp. 481-496
    • Cuevas, A.1    Febrero, M.2    Fraiman, R.3
  • 8
    • 58349119332 scopus 로고    scopus 로고
    • On depth measures and dual statistics. A methodology for dealing with general data
    • Cuevas A., Fraiman R. On depth measures and dual statistics. A methodology for dealing with general data. J. Multivariate Anal. 2009, 100(4):753-766.
    • (2009) J. Multivariate Anal. , vol.100 , Issue.4 , pp. 753-766
    • Cuevas, A.1    Fraiman, R.2
  • 11
    • 84858749547 scopus 로고    scopus 로고
    • fda.usc: functional data analysis and utilities for statistical computing (fda.usc), r package version 0.9.5
    • M. Febrero-Bande, M. Oviedo de la Fuente, fda.usc: functional data analysis and utilities for statistical computing (fda.usc), r package version 0.9.5 (2011). http://CRAN.R-project.org/package%3Dfda.usc.
    • (2011)
    • Febrero-Bande, M.1    Oviedo de la Fuente, M.2
  • 12
    • 78651307143 scopus 로고    scopus 로고
    • Statistical methods and problems in infinite-dimensional spaces
    • Special Issue
    • Ferraty F. Statistical methods and problems in infinite-dimensional spaces. J. Multivariate Anal. 2010, 101. Special Issue.
    • (2010) J. Multivariate Anal. , vol.101
    • Ferraty, F.1
  • 14
    • 33845913997 scopus 로고    scopus 로고
    • Nonparametric Functional Data Analysis: Theory and Practice
    • Springer-Verlag New York, Inc.
    • Ferraty F., Vieu P. Nonparametric Functional Data Analysis: Theory and Practice. Springer Series in Statistics 2006, Springer-Verlag New York, Inc.
    • (2006) Springer Series in Statistics
    • Ferraty, F.1    Vieu, P.2
  • 15
    • 0347141868 scopus 로고    scopus 로고
    • Trimmed means for functional data
    • Fraiman R., Muniz G. Trimmed means for functional data. Test 2001, 10(2):419-440.
    • (2001) Test , vol.10 , Issue.2 , pp. 419-440
    • Fraiman, R.1    Muniz, G.2
  • 16
    • 0034414165 scopus 로고    scopus 로고
    • A nonlinear PCA based on manifold approximation
    • Girard S. A nonlinear PCA based on manifold approximation. Comput. Statist. 2000, 15(2):145-167.
    • (2000) Comput. Statist. , vol.15 , Issue.2 , pp. 145-167
    • Girard, S.1
  • 18
    • 33747153005 scopus 로고    scopus 로고
    • Properties of principal component methods for functional and longitudinal data analysis
    • Hall P., Müller H.-G., Wang J.-L. Properties of principal component methods for functional and longitudinal data analysis. Ann. Statist. 2006, 34(3):1493-1517.
    • (2006) Ann. Statist. , vol.34 , Issue.3 , pp. 1493-1517
    • Hall, P.1    Müller, H.-G.2    Wang, J.-L.3
  • 19
    • 77649325713 scopus 로고    scopus 로고
    • Multivariate quantiles and multiple-output regression quantiles: from l1 optimization to halfspace depth
    • Hallin M., Paindaveine D., Siman M. Multivariate quantiles and multiple-output regression quantiles: from l1 optimization to halfspace depth. Ann. Statist. 2010, 38(2):635-669.
    • (2010) Ann. Statist. , vol.38 , Issue.2 , pp. 635-669
    • Hallin, M.1    Paindaveine, D.2    Siman, M.3
  • 20
    • 33750436765 scopus 로고    scopus 로고
    • Robust forecasting of mortality and fertility rates: a functional data approach
    • Hyndman R.J., Shahid Ullah M. Robust forecasting of mortality and fertility rates: a functional data approach. Comput. Statist. Data Anal. 2007, 51(10):4942-4956.
    • (2007) Comput. Statist. Data Anal. , vol.51 , Issue.10 , pp. 4942-4956
    • Hyndman, R.J.1    Shahid Ullah, M.2
  • 21
    • 77749302275 scopus 로고    scopus 로고
    • Rainbow plots, bagplots and boxplots for functional data
    • Hyndman R.J., Shang H.L. Rainbow plots, bagplots and boxplots for functional data. J. Comput. Graph. Statist. 2010, 19:29-45.
    • (2010) J. Comput. Graph. Statist. , vol.19 , pp. 29-45
    • Hyndman, R.J.1    Shang, H.L.2
  • 23
    • 0000273843 scopus 로고
    • Regression quantiles
    • Koenker R., Bassett G. Regression quantiles. Econometrica 1978, 46(1):33-50.
    • (1978) Econometrica , vol.46 , Issue.1 , pp. 33-50
    • Koenker, R.1    Bassett, G.2
  • 24
    • 84866874265 scopus 로고    scopus 로고
    • Quantile tomography
    • Using quantiles with multivariate data, Statistica Sinica, doi:10.5705/ss.2010.224
    • L. Kong, I. Mizera, Quantile tomography: Using quantiles with multivariate data, Statistica Sinica, doi:10.5705/ss.2010.224.
    • Kong, L.1    Mizera, I.2
  • 25
    • 0033147626 scopus 로고    scopus 로고
    • Multivariate analysis by data depth: descriptive statistics, graphics and inference
    • Liu R.Y., Parelius J.M., Singh K. Multivariate analysis by data depth: descriptive statistics, graphics and inference. Ann. Statist. 1999, 27(3):783-858.
    • (1999) Ann. Statist. , vol.27 , Issue.3 , pp. 783-858
    • Liu, R.Y.1    Parelius, J.M.2    Singh, K.3
  • 27
    • 34247337662 scopus 로고    scopus 로고
    • Depth-based inference for functional data
    • López-Pintado S., Romo J. Depth-based inference for functional data. Comput. Statist. Data Anal. 2007, 51(10):4957-4968.
    • (2007) Comput. Statist. Data Anal. , vol.51 , Issue.10 , pp. 4957-4968
    • López-Pintado, S.1    Romo, J.2
  • 28
    • 66549091623 scopus 로고    scopus 로고
    • On the concept of depth for functional data
    • López-Pintado S., Romo J. On the concept of depth for functional data. J. Amer. Statist. Assoc. 2009, 104(486):718-734.
    • (2009) J. Amer. Statist. Assoc. , vol.104 , Issue.486 , pp. 718-734
    • López-Pintado, S.1    Romo, J.2
  • 31
    • 79951480123 scopus 로고    scopus 로고
    • R Foundation for Statistical Computing, Vienna, Austria, R Development Core Team
    • R Development Core Team R: A Language and Environment for Statistical Computing 2010, R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org/.
    • (2010) R: A Language and Environment for Statistical Computing
  • 32
    • 0036012647 scopus 로고    scopus 로고
    • Quantile functions for multivariate analysis: approaches and applications
    • Serfling R. Quantile functions for multivariate analysis: approaches and applications. Stat. Neerl. 2002, 56(2):214-232.
    • (2002) Stat. Neerl. , vol.56 , Issue.2 , pp. 214-232
    • Serfling, R.1
  • 33
    • 34547240974 scopus 로고    scopus 로고
    • Multivariate symmetry and asymmetry
    • Wiley, C.B.R. S. Kotz, N. Balakrishnan, B. Vidakovic (Eds.)
    • Serfling R.J. Multivariate symmetry and asymmetry. Encyclopedia of Statistical Sciences, Vol. 8 2006, Wiley. Second Edition. C.B.R. S. Kotz, N. Balakrishnan, B. Vidakovic (Eds.).
    • (2006) Encyclopedia of Statistical Sciences, Vol. 8
    • Serfling, R.J.1
  • 34
    • 84868093440 scopus 로고    scopus 로고
    • Rainbow: rainbow plots, bagplots and boxplots for functional data
    • R package version 2.3.4
    • H.L. Shang, R.J. Hyndman, Rainbow: rainbow plots, bagplots and boxplots for functional data, r package version 2.3.4 (2011). http://CRAN.R-project.org/package%3Drainbow.
    • (2011)
    • Shang, H.L.1    Hyndman, R.J.2
  • 35
    • 0034347419 scopus 로고    scopus 로고
    • General notions of statistical depth function
    • Zuo Y., Serfling R. General notions of statistical depth function. Ann. Statist. 2000, 28(2):461-482.
    • (2000) Ann. Statist. , vol.28 , Issue.2 , pp. 461-482
    • Zuo, Y.1    Serfling, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.