메뉴 건너뛰기




Volumn 28, Issue 4, 2000, Pages 817-828

A robust nonparametric estimation of the autoregression function under an ergodic hypothesis

Author keywords

Autoregression function; Ergodic processes; Kernel estimate; Martingale difference; Regression function; Robust prediction

Indexed keywords


EID: 0039550290     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315918     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0001052553 scopus 로고
    • Robust nonparametric regression estimation for dependent variables
    • G. Boente & R. Fraiman (1989). Robust nonparametric regression estimation for dependent variables. The Annals of Statistics, 17, 1242-1256.
    • (1989) The Annals of Statistics , vol.17 , pp. 1242-1256
    • Boente, G.1    Fraiman, R.2
  • 2
    • 0001739403 scopus 로고
    • Asymptotic distribution of robust estimator for nonparametric models from mixing processes
    • G. Boente & R. Fraiman (1990). Asymptotic distribution of robust estimator for nonparametric models from mixing processes. The Annals of Statistics, 18, 891-906.
    • (1990) The Annals of Statistics , vol.18 , pp. 891-906
    • Boente, G.1    Fraiman, R.2
  • 3
    • 84982466858 scopus 로고
    • Nonparametric vs parametric forecastings in time series: A computational point of view
    • M. Carbon & M. Delecroix (1993). Nonparametric vs parametric forecastings in time series: A computational point of view. Applied Stochastic Models and Data Analysis, 9, 215-229.
    • (1993) Applied Stochastic Models and Data Analysis , vol.9 , pp. 215-229
    • Carbon, M.1    Delecroix, M.2
  • 4
    • 84972804609 scopus 로고
    • Nonparametric regression: An up-to-date bibliography
    • G. Collomb (1985). Nonparametric regression: An up-to-date bibliography. Statistics, 2, 309-324.
    • (1985) Statistics , vol.2 , pp. 309-324
    • Collomb, G.1
  • 5
    • 0001908707 scopus 로고
    • Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations
    • G. Collomb & W. Härdle (1986). Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations. Stochastic Processes and Their Applications, 23, 77-89.
    • (1986) Stochastic Processes and Their Applications , vol.23 , pp. 77-89
    • Collomb, G.1    Härdle, W.2
  • 7
    • 0001580091 scopus 로고    scopus 로고
    • Nonparametric estimation of a regression function and its derivatives under an ergodic hypothesis
    • M. Delecroix & A. C. M. Rosa (1996). Nonparametric estimation of a regression function and its derivatives under an ergodic hypothesis. Journal of Nonparametric Statistics, 6, 367-382.
    • (1996) Journal of Nonparametric Statistics , vol.6 , pp. 367-382
    • Delecroix, M.1    Rosa, A.C.M.2
  • 8
    • 84984306318 scopus 로고
    • The uniform convergence of the Nadaraya-Watson regression function estimate
    • L. Devroye (1982). The uniform convergence of the Nadaraya-Watson regression function estimate. The Canadian Journal of Statistics, 6, 179-191.
    • (1982) The Canadian Journal of Statistics , vol.6 , pp. 179-191
    • Devroye, L.1
  • 9
    • 0001257368 scopus 로고
    • Estimating regression functions and their derivatives by the kernel method
    • T. Gasser & H. G. Müller (1984). Estimating regression functions and their derivatives by the kernel method. Scandinavian Journal of Statistics, 11, 171-185.
    • (1984) Scandinavian Journal of Statistics , vol.11 , pp. 171-185
    • Gasser, T.1    Müller, H.G.2
  • 10
    • 0001839725 scopus 로고
    • Strong consistent density estimate from ergodic sample
    • L. Györfi (1981). Strong consistent density estimate from ergodic sample. Journal of Multivariate Analysis, 11, 81-84.
    • (1981) Journal of Multivariate Analysis , vol.11 , pp. 81-84
    • Györfi, L.1
  • 11
    • 38249010056 scopus 로고
    • Kernel density estimation from ergodic sample is not universally consistent
    • L. Györfi & G. Lugosi (1992). Kernel density estimation from ergodic sample is not universally consistent. Computational Statistics and Data Analysis, 14, 437-442.
    • (1992) Computational Statistics and Data Analysis , vol.14 , pp. 437-442
    • Györfi, L.1    Lugosi, G.2
  • 12
  • 14
  • 16
    • 0021197309 scopus 로고
    • Distribution-free consistency of a nonparametric kernel regression estimate and classification
    • A. Krzyzak & M. Pawlak (1984). Distribution-free consistency of a nonparametric kernel regression estimate and classification. IEEE Transactions on Information Theory, 30, 78-81.
    • (1984) IEEE Transactions on Information Theory , vol.30 , pp. 78-81
    • Krzyzak, A.1    Pawlak, M.2
  • 17
    • 0040153567 scopus 로고    scopus 로고
    • Exponential-type inequalities for martingale difference sequences: Application to non-parametric regression estimation
    • N. Laïb (1999a). Exponential-type inequalities for martingale difference sequences: Application to non-parametric regression estimation. Communication in Statistics, Theory and Methods (Series A), 28, 1565-1576.
    • (1999) Communication in Statistics, Theory and Methods (Series A) , vol.28 , pp. 1565-1576
    • Laïb, N.1
  • 18
    • 0040708924 scopus 로고    scopus 로고
    • Uniform consistency of the partitioning estimate under ergodic conditions
    • N. Laïb (1999b). Uniform consistency of the partitioning estimate under ergodic conditions. Journal of the Australian Mathematical Society (Series A), 67, 1-14.
    • (1999) Journal of the Australian Mathematical Society (Series A) , vol.67 , pp. 1-14
    • Laïb, N.1
  • 20
    • 0040151548 scopus 로고    scopus 로고
    • A note on ergodic processes prediction via estimation of conditional mode function
    • E. Ould-Saïd (1997). A note on ergodic processes prediction via estimation of conditional mode function. Scandinavian Journal of Statistics, 24, 231-240.
    • (1997) Scandinavian Journal of Statistics , vol.24 , pp. 231-240
    • Ould-Saïd, E.1
  • 22
    • 0000018365 scopus 로고
    • Robust nonparametric autoregression
    • Springer-Verlag, New York
    • R. Robinson (1984). Robust Nonparametric Autoregression. Lecture Notes in Statistics, Springer-Verlag, New York, 26, 247-255.
    • (1984) Lecture Notes in Statistics , vol.26 , pp. 247-255
    • Robinson, R.1
  • 23
    • 0039683139 scopus 로고
    • Estimation non-paramétrique de la médiane conditionnelle sous hypothèse ergodique. Application àla prévision des processus
    • Bruxelles
    • e Journées de statistique, Bruxelles pp. 325-328.
    • (1992) e Journées de Statistique , pp. 325-328
    • Rosa, A.C.M.1
  • 25
    • 0001377295 scopus 로고
    • Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
    • B. W. Silverman (1978). Weak and strong uniform consistency of the kernel estimate of a density and its derivatives. The Annals of Statistics, 6, 177-184.
    • (1978) The Annals of Statistics , vol.6 , pp. 177-184
    • Silverman, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.