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Volumn 48, Issue 2, 1996, Pages 267-281

Minimum distance regression-type estimates with rates under weak dependence

Author keywords

Kolmogorov's entropy; Minimum distance estimation; Nonparametric regression; Rate of convergence; mixing

Indexed keywords

CONVERGENCE RATE; KOLMOGOROV ENTROPY; NON PARAMETRIC ESTIMATION; REGRESSION MODEL;

EID: 0030371629     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00054790     Document Type: Article
Times cited : (4)

References (23)
  • 1
    • 0000204608 scopus 로고
    • Minimum Hellinger distance estimates for parametric models
    • Beran, R. J. (1977). Minimum Hellinger distance estimates for parametric models, Ann. Statist., 5, 445-463.
    • (1977) Ann. Statist. , vol.5 , pp. 445-463
    • Beran, R.J.1
  • 2
    • 2742538488 scopus 로고
    • Strong mixing properties of linear stochastic processes
    • Chanda, K. C. (1974). Strong mixing properties of linear stochastic processes, J. Appl. Probab., 14, 67-77.
    • (1974) J. Appl. Probab. , vol.14 , pp. 67-77
    • Chanda, K.C.1
  • 3
    • 0000568602 scopus 로고
    • Distribution-free consistency results in nonparametric discrimination and regression function estimation
    • Devroye, L. P. and Wagner, T. J. (1980). Distribution-free consistency results in nonparametric discrimination and regression function estimation, Ann. Statist., 8, 231-239.
    • (1980) Ann. Statist. , vol.8 , pp. 231-239
    • Devroye, L.P.1    Wagner, T.J.2
  • 4
    • 0040006038 scopus 로고
    • On nonparametric estimation of regression
    • Ibragimov, I. A. and Khas'minskii, R. Z. (1980). On nonparametric estimation of regression, Soviet Math. Dokl, 21, 130-131.
    • (1980) Soviet Math. Dokl , vol.21 , pp. 130-131
    • Ibragimov, I.A.1    Khas'minskii, R.Z.2
  • 5
    • 0000624821 scopus 로고
    • ε-entropy and ε-capacity of sets of function spaces
    • translation
    • Kolmogorov, A. N. and Tikhomirov, V. M. (1961). ε-entropy and ε-capacity of sets of function spaces, Amer. Math. Soc. Transl., 17, 277-364 (translation).
    • (1961) Amer. Math. Soc. Transl. , vol.17 , pp. 277-364
    • Kolmogorov, A.N.1    Tikhomirov, V.M.2
  • 7
    • 0001703939 scopus 로고
    • The mixing property of linear and generalized random coefficient autoregressive models
    • Pham, D. T. (1986). The mixing property of linear and generalized random coefficient autoregressive models, Stochastic Process. Appl., 23, 291-300.
    • (1986) Stochastic Process. Appl. , vol.23 , pp. 291-300
    • Pham, D.T.1
  • 8
    • 0001155464 scopus 로고
    • Some strong mixing properties of time series models
    • Pham, D. T. and Tran, L. T. (1985). Some strong mixing properties of time series models, Stochastic Process. Appl., 19, 297-303.
    • (1985) Stochastic Process. Appl. , vol.19 , pp. 297-303
    • Pham, D.T.1    Tran, L.T.2
  • 9
    • 51249175937 scopus 로고
    • On the consistency and finite-sample properties of nonparametric kernel time series regression, autoregression and density estimators
    • Robinson, P. M. (1986). On the consistency and finite-sample properties of nonparametric kernel time series regression, autoregression and density estimators, Ann. Inst. Statist. Math., 38, 539-549.
    • (1986) Ann. Inst. Statist. Math. , vol.38 , pp. 539-549
    • Robinson, P.M.1
  • 10
    • 0002591194 scopus 로고
    • Nonparametric regression estimation under mixing conditions
    • Roussas, G. G. (1990). Nonparametric regression estimation under mixing conditions, Stochastic Process. Appl., 36, 107-116.
    • (1990) Stochastic Process. Appl. , vol.36 , pp. 107-116
    • Roussas, G.G.1
  • 11
    • 84948295815 scopus 로고
    • Moment inequalities for mixing sequences of random variables
    • Roussas, G. G. and Ioannides, D. (1987). Moment inequalities for mixing sequences of random variables, Stochastic Anal. Appl., 5, 61-120.
    • (1987) Stochastic Anal. Appl. , vol.5 , pp. 61-120
    • Roussas, G.G.1    Ioannides, D.2
  • 12
    • 0009244662 scopus 로고
    • Probability bounds for sums in triangular arrays of random variables under mixing conditions
    • (ed. K. Matusita), Elsevier Science (North Holland), New York
    • Roussas, G. G. and Ioannides, D. (1988). Probability bounds for sums in triangular arrays of random variables under mixing conditions, Statistical Theory and Data Analysis II (ed. K. Matusita), Elsevier Science (North Holland), New York.
    • (1988) Statistical Theory and Data Analysis II
    • Roussas, G.G.1    Ioannides, D.2
  • 13
    • 0000439527 scopus 로고
    • Optimal rates of convergence for nonparametric estimators
    • Stone, C. J. (1980). Optimal rates of convergence for nonparametric estimators, Ann. Statist., 8, 1348-1360.
    • (1980) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.J.1
  • 14
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric estimators
    • Stone, C. J. (1982). Optimal global rates of convergence for nonparametric estimators, Ann. Statist., 10, 1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1
  • 15
    • 0010811474 scopus 로고
    • 1-convergence of kernel density estimates under dependence
    • 1-convergence of kernel density estimates under dependence, Canad. J. Statist., 17, 197-208.
    • (1989) Canad. J. Statist. , vol.17 , pp. 197-208
    • Tran, L.T.1
  • 16
    • 38249020988 scopus 로고
    • Kernel density estimation under dependence
    • Tran, L. T. (1990). Kernel density estimation under dependence, Statist. Probab. Lett., 10, 193-201.
    • (1990) Statist. Probab. Lett. , vol.10 , pp. 193-201
    • Tran, L.T.1
  • 17
    • 0010888380 scopus 로고
    • Nonparametric functional estimation for time series by local average estimators
    • Tran, L.T. (1993). Nonparametric functional estimation for time series by local average estimators, Ann. Statist., 40, 1040-1057.
    • (1993) Ann. Statist. , vol.40 , pp. 1040-1057
    • Tran, L.T.1
  • 18
    • 0002451938 scopus 로고
    • The minimum distance method
    • Wolfowitz, J. (1957). The minimum distance method, Ann. Math. Statist., 28, 75-88.
    • (1957) Ann. Math. Statist. , vol.28 , pp. 75-88
    • Wolfowitz, J.1
  • 19
    • 0000643161 scopus 로고
    • Rates of convergence of minimum distance estimators and Kolmogorov's entropy
    • Yatracos, Y. G. (1985). Rates of convergence of minimum distance estimators and Kolmogorov's entropy, Ann. Statist., 13, 768-774.
    • (1985) Ann. Statist. , vol.13 , pp. 768-774
    • Yatracos, Y.G.1
  • 20
    • 0010891094 scopus 로고
    • A regression type problem
    • Yatracos, Y. G. (1989a). A regression type problem, Ann. Statist., 17, 1597-1607
    • (1989) Ann. Statist. , vol.17 , pp. 1597-1607
    • Yatracos, Y.G.1
  • 21
    • 38249023347 scopus 로고
    • On the estimation of the derivatives of a function with the derivatives of an estimate
    • Yatracos, Y. G. (1989b). On the estimation of the derivatives of a function with the derivatives of an estimate, J. Multivariate Anal., 28, 172-175.
    • (1989) J. Multivariate Anal. , vol.28 , pp. 172-175
    • Yatracos, Y.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.