메뉴 건너뛰기




Volumn 76, Issue 1, 2013, Pages 19-52

Kernel spatial density estimation in infinite dimension space

Author keywords

Density estimation; Functional variables; Infinite dimensional space; Mixing conditions; Random fields; Small balls probabilities

Indexed keywords


EID: 84871937919     PISSN: 00261335     EISSN: 1435926X     Source Type: Journal    
DOI: 10.1007/s00184-011-0374-4     Document Type: Article
Times cited : (16)

References (48)
  • 2
    • 84871932048 scopus 로고    scopus 로고
    • Spatio-temporal functional regression on paleoecological data
    • S. Dabo-Niang and F. Ferraty (Eds.), Berlin: Springer
    • Bar-Hen A, Bel L, Cheddadi R (2008) Spatio-temporal functional regression on paleoecological data. In: Dabo-Niang S, Ferraty F (eds) Functional and operatorial statistics. Springer, Berlin.
    • (2008) Functional and Operatorial Statistics
    • Bar-Hen, A.1    Bel, L.2    Cheddadi, R.3
  • 3
    • 84871934804 scopus 로고    scopus 로고
    • Kernel density estimation for functional random fields
    • Basse M, Dabo-Niang S, Diop S (2008) Kernel density estimation for functional random fields. Pub Inst Stat Univ Paris LII(1-2): 91-108.
    • (2008) Pub Inst Stat Univ Paris , vol.LII , Issue.1-2 , pp. 91-108
    • Basse, M.1    Dabo-Niang, S.2    Diop, S.3
  • 8
    • 84982078035 scopus 로고
    • Simple metric sedimentary statistics used to recognize different environments
    • Buller A, McManus J (1972) Simple metric sedimentary statistics used to recognize different environments. Sedimentology 18: 1-21.
    • (1972) Sedimentology , vol.18 , pp. 1-21
    • Buller, A.1    McManus, J.2
  • 9
    • 33645907863 scopus 로고    scopus 로고
    • Polygone des fréquences pour des champs aléatoires
    • Carbon M (2006) Polygone des fréquences pour des champs aléatoires. C R Math Acad Sci Paris 342(9): 693-696.
    • (2006) C R Math Acad Sci Paris , vol.342 , Issue.9 , pp. 693-696
    • Carbon, M.1
  • 10
    • 33750576929 scopus 로고    scopus 로고
    • Kernel regression estimation for random fields
    • Carbon M, Francq C, Tran LT (2007) Kernel regression estimation for random fields. J Statist Plann Inference 137(Issue 3): 778-798.
    • (2007) J Statist Plann Inference , vol.137 , Issue.3 , pp. 778-798
    • Carbon, M.1    Francq, C.2    Tran, L.T.3
  • 12
    • 0031498227 scopus 로고    scopus 로고
    • Kernel density estimation for random fields
    • Carbon M, Tran LT, Wu B (1997) Kernel density estimation for random fields. Stat Probab Lett 36: 115-125.
    • (1997) Stat Probab Lett , vol.36 , pp. 115-125
    • Carbon, M.1    Tran, L.T.2    Wu, B.3
  • 14
    • 0003548569 scopus 로고
    • New-York: Wiley Series in Probability and Mathematical Statistics
    • Cressie NA (1993) Statistics for spatial data. Wiley Series in Probability and Mathematical Statistics, New-York.
    • (1993) Statistics for Spatial Data
    • Cressie, N.A.1
  • 15
    • 0001509668 scopus 로고
    • A relation between chung's and strassen laws of the iterated logarithm
    • Csaki E (1980) A relation between chung's and strassen laws of the iterated logarithm. Zeit Wahrs Ver Geb 19: 287-301.
    • (1980) Zeit Wahrs Ver Geb , vol.19 , pp. 287-301
    • Csaki, E.1
  • 16
    • 1842689670 scopus 로고    scopus 로고
    • Kernel density estimator in an infinite dimensional space with a rate of convergence in the case of diffusion process
    • Dabo-Niang S (2004) Kernel density estimator in an infinite dimensional space with a rate of convergence in the case of diffusion process. Appl Math Lett 17: 381-386.
    • (2004) Appl Math Lett , vol.17 , pp. 381-386
    • Dabo-Niang, S.1
  • 17
    • 34247328682 scopus 로고    scopus 로고
    • Mode estimation for functional random variable and its application for curves classification
    • Dabo-Niang S, Ferraty F, Vieu P (2006) Mode estimation for functional random variable and its application for curves classification. Far East J Theor Stat 18(1): 93-119.
    • (2006) Far East J Theor Stat , vol.18 , Issue.1 , pp. 93-119
    • Dabo-Niang, S.1    Ferraty, F.2    Vieu, P.3
  • 18
    • 57749209151 scopus 로고    scopus 로고
    • Kernel regression estimate in a Banach space
    • Dabo-Niang S, Rhomari N (2009) Kernel regression estimate in a Banach space. J Statist Plann Inf 139: 1421-1434.
    • (2009) J Statist Plann Inf , vol.139 , pp. 1421-1434
    • Dabo-Niang, S.1    Rhomari, N.2
  • 19
    • 77955050047 scopus 로고    scopus 로고
    • Spatial kernel mode estimation for functional random, with application to bioturbation problem
    • Dabo-Niang S, Yao A, Pischedda L, Cuny P, Gilbert F (2010) Spatial kernel mode estimation for functional random, with application to bioturbation problem. Stoc Environ Res Risk Assess 24(4): 487-497.
    • (2010) Stoc Environ Res Risk Assess , vol.24 , Issue.4 , pp. 487-497
    • Dabo-Niang, S.1    Yao, A.2    Pischedda, L.3    Cuny, P.4    Gilbert, F.5
  • 20
    • 68849126051 scopus 로고    scopus 로고
    • Kernel regression estimation for continuous spatial processes
    • Dabo-Niang S, Yao AF (2007) Kernel regression estimation for continuous spatial processes. Math Method Stat 16(4): 1-20.
    • (2007) Math Method Stat , vol.16 , Issue.4 , pp. 1-20
    • Dabo-Niang, S.1    Yao, A.F.2
  • 21
    • 70449705240 scopus 로고    scopus 로고
    • Point-wise kriging for spatial prediction of functional data
    • S. Dabo-Niang and F. Ferraty (Eds.), Berlin: Springer
    • Delicado P, Giraldo R, Mateu J (2008) Point-wise kriging for spatial prediction of functional data. In: Dabo-Niang S, Ferraty F (eds) Functional and operatorial statistics. Springer, Berlin, pp 135-141.
    • (2008) Functional and Operatorial Statistics , pp. 135-141
    • Delicado, P.1    Giraldo, R.2    Mateu, J.3
  • 24
    • 52249117688 scopus 로고    scopus 로고
    • Advances in nonparametric regression for functional variables
    • Ferraty F, Mas A, Vieu P (2007) Advances in nonparametric regression for functional variables. Aust N Z J Stat 49(3): 1-20.
    • (2007) Aust N Z J Stat , vol.49 , Issue.3 , pp. 1-20
    • Ferraty, F.1    Mas, A.2    Vieu, P.3
  • 26
    • 0028257854 scopus 로고
    • Analysis of grain size trends, for defining sediment transport pathways in marine environments
    • Gao S, Collins M (1994) Analysis of grain size trends, for defining sediment transport pathways in marine environments. J Coastal Res 10(1): 70-78.
    • (1994) J Coastal Res , vol.10 , Issue.1 , pp. 70-78
    • Gao, S.1    Collins, M.2
  • 30
    • 21644451521 scopus 로고    scopus 로고
    • Local linear spatial regression
    • Hallin M, Lu Z, Tran LT (2004) Local linear spatial regression. Ann Statist 32(6): 2469-2500.
    • (2004) Ann Statist , vol.32 , Issue.6 , pp. 2469-2500
    • Hallin, M.1    Lu, Z.2    Tran, L.T.3
  • 31
    • 70350344396 scopus 로고    scopus 로고
    • Gaussian processes: inequalities, small ball probabilities and applications
    • Stochastic processes: theory and methods
    • Li W-V, Shao Q-M (2001) Gaussian processes: inequalities, small ball probabilities and applications. Stochastic processes: theory and methods. Handbook of Statist, page 1861734.
    • (2001) Handbook of Statist , pp. 1861734
    • Li, W.-V.1    Shao, Q.-M.2
  • 32
    • 0026278702 scopus 로고
    • Grain-size distributions of pyroclastic deposits
    • Lirer L, Vinci A (1991) Grain-size distributions of pyroclastic deposits. Sedimentology 38: 1075-1083.
    • (1991) Sedimentology , vol.38 , pp. 1075-1083
    • Lirer, L.1    Vinci, A.2
  • 33
    • 0347914856 scopus 로고    scopus 로고
    • Weak consistency of nonparametric kernel regression under alpha-mixing dependence
    • Lu Z (1996) Weak consistency of nonparametric kernel regression under alpha-mixing dependence. Chin Sci Bull 41: 2219-2221.
    • (1996) Chin Sci Bull , vol.41 , pp. 2219-2221
    • Lu, Z.1
  • 34
    • 0031537053 scopus 로고    scopus 로고
    • Distribution-free strong conistency for nonparametric kernel regression involving nonlinear time series
    • Lu Z, Chen P (1997) Distribution-free strong conistency for nonparametric kernel regression involving nonlinear time series. J Statist Plann Inference 65: 67-86.
    • (1997) J Statist Plann Inference , vol.65 , pp. 67-86
    • Lu, Z.1    Chen, P.2
  • 35
    • 2542435912 scopus 로고    scopus 로고
    • Spatial kernel regression estimation: weak concistency
    • Lu Z, Chen X (2004) Spatial kernel regression estimation: weak concistency. Stat Proba Lett 68: 125-136.
    • (2004) Stat Proba Lett , vol.68 , pp. 125-136
    • Lu, Z.1    Chen, X.2
  • 36
    • 0002975792 scopus 로고
    • Strong consistency and rates for recursive density estimators for stationary mixing processes
    • Masry E, Györfi L (1987) Strong consistency and rates for recursive density estimators for stationary mixing processes. J Multivar Anal 22: 79-93.
    • (1987) J Multivar Anal , vol.22 , pp. 79-93
    • Masry, E.1    Györfi, L.2
  • 37
    • 70449727405 scopus 로고    scopus 로고
    • A cokriging method for spatial functional
    • Nerini D, Monestiez P, Manté C (2010) A cokriging method for spatial functional. J Multivar Anal 101(2): 409-418.
    • (2010) J Multivar Anal , vol.101 , Issue.2 , pp. 409-418
    • Nerini, D.1    Monestiez, P.2    Manté, C.3
  • 42
    • 84986849734 scopus 로고
    • Nonparametric estimators for time series
    • Robinson PM (1983) Nonparametric estimators for time series. J Time Ser Anal 4: 185-207.
    • (1983) J Time Ser Anal , vol.4 , pp. 185-207
    • Robinson, P.M.1
  • 43
    • 84986870099 scopus 로고
    • Time series residuals with applocation to probability density estimation
    • Robinson PM (1987) Time series residuals with applocation to probability density estimation. J Time Ser Anal 8: 329-344.
    • (1987) J Time Ser Anal , vol.8 , pp. 329-344
    • Robinson, P.M.1
  • 44
    • 38249032193 scopus 로고
    • Nonparametric estimation in mixing sequences of random variables
    • Roussas GG (1988) Nonparametric estimation in mixing sequences of random variables. J Statist Plann Inference 18: 135-149.
    • (1988) J Statist Plann Inference , vol.18 , pp. 135-149
    • Roussas, G.G.1
  • 45
    • 38249021063 scopus 로고
    • Kernel density estimation on random fields
    • Tran LT (1990) Kernel density estimation on random fields. J Multivar Anal 34: 37-53.
    • (1990) J Multivar Anal , vol.34 , pp. 37-53
    • Tran, L.T.1
  • 46
    • 0002957748 scopus 로고
    • Nearest neighbor estimators for random fields
    • Tran LT, Yakowitz S (1993) Nearest neighbor estimators for random fields. J Multivar Anal 44: 23-46.
    • (1993) J Multivar Anal , vol.44 , pp. 23-46
    • Tran, L.T.1    Yakowitz, S.2
  • 47
    • 0001917688 scopus 로고
    • Nonparametric function estimation involving time series
    • Truong YM, Stone CJ (1992) Nonparametric function estimation involving time series. Ann Statist 20: 77-97.
    • (1992) Ann Statist , vol.20 , pp. 77-97
    • Truong, Y.M.1    Stone, C.J.2
  • 48
    • 84986753922 scopus 로고
    • Nearest-neighbor methods for times series analysis
    • Yakowitz S (1987) Nearest-neighbor methods for times series analysis. J Time Ser Anal 8: 235-247.
    • (1987) J Time Ser Anal , vol.8 , pp. 235-247
    • Yakowitz, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.