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Volumn 71, Issue 1, 1999, Pages 24-41

Strongly consistent nonparametric forecasting and regression for stationary ergodic sequences

Author keywords

Forecasting; Nonparametric estimation; Time series regression; Universal prediction

Indexed keywords


EID: 0002645342     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1825     Document Type: Article
Times cited : (6)

References (39)
  • 1
    • 0000551326 scopus 로고
    • Universal schemes for prediction, gambling and portfolio selection
    • Correction, Ann. Probab. 23 (1995), 474-478
    • P. H. Algoet, Universal schemes for prediction, gambling and portfolio selection, Ann. Probab. 20 (1992), 901-941; Correction, Ann. Probab. 23 (1995), 474-478.
    • (1992) Ann. Probab. , vol.20 , pp. 901-941
    • Algoet, P.H.1
  • 2
    • 0028428283 scopus 로고
    • The strong law of large numbers for sequential decisions under uncertainty
    • P. H. Algoet, The strong law of large numbers for sequential decisions under uncertainty, IEEE Trans. Inform. Theory 40 (1994), 609-634.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 609-634
    • Algoet, P.H.1
  • 7
    • 84926662675 scopus 로고
    • Nearest neighbor pattern classification
    • T. M. Cover and P. Hart, Nearest neighbor pattern classification, IEEE Trans. Inform. Theory 13 (1967), 21-27.
    • (1967) IEEE Trans. Inform. Theory , vol.13 , pp. 21-27
    • Cover, T.M.1    Hart, P.2
  • 8
    • 0032264526 scopus 로고    scopus 로고
    • The sample autocorrelations of heavy-tailed processes with applications to ARCH
    • R. Davis and T. Mikosch, The sample autocorrelations of heavy-tailed processes with applications to ARCH, Ann. Statist. 26 (1999), 2049-2080.
    • (1999) Ann. Statist. , vol.26 , pp. 2049-2080
    • Davis, R.1    Mikosch, T.2
  • 9
    • 0001244757 scopus 로고
    • On the almost everywhere convergence of nonparametric regression function estimates
    • L. Devroye, On the almost everywhere convergence of nonparametric regression function estimates, Ann. Statist. 9 (1981), 1310-1319.
    • (1981) Ann. Statist. , vol.9 , pp. 1310-1319
    • Devroye, L.1
  • 10
    • 0001844070 scopus 로고
    • 1 error of partitioning estimates of a regression function
    • F. Konecny, J. Mogyoródi, and W. Wertz, Eds., Akadémiai Kiadó, Budapest, Hungary
    • 1 error of partitioning estimates of a regression function, in "Proceedings of the Fourth Pannonian Symposium on Mathematical Statistics" (F. Konecny, J. Mogyoródi, and W. Wertz, Eds.), pp. 67-76, Akadémiai Kiadó, Budapest, Hungary, 1983.
    • (1983) Proceedings of the Fourth Pannonian Symposium on Mathematical Statistics , pp. 67-76
    • Devroye, L.1    Györfi, L.2
  • 12
    • 0000568602 scopus 로고
    • Distribution-free consistency results in nonparametric discrimination and regression function estimation
    • L. Devroye and T. J. Wagner, Distribution-free consistency results in nonparametric discrimination and regression function estimation, Ann. Statist. 8 (1980), 231-239.
    • (1980) Ann. Statist. , vol.8 , pp. 231-239
    • Devroye, L.1    Wagner, T.J.2
  • 13
    • 0000289318 scopus 로고
    • Distribution-free pointwise consistency of kernel regression estimate
    • W. Greblicki, A. Krzyżak, and M. Pawlak, Distribution-free pointwise consistency of kernel regression estimate, Ann. Statist. 12 (1984), 1570-1575.
    • (1984) Ann. Statist. , vol.12 , pp. 1570-1575
    • Greblicki, W.1    Krzyzak, A.2    Pawlak, M.3
  • 15
    • 0002438218 scopus 로고
    • Universal consistencies of a regression estimate for unbounded regression functions
    • "Nonparametric Functional Estimation" (G. Roussas, Ed.), Kluwer Academic, Berlin
    • L. Györfi, Universal consistencies of a regression estimate for unbounded regression functions, in "Nonparametric Functional Estimation" (G. Roussas, Ed.), pp. 329-338, NATO ASI Series, Kluwer Academic, Berlin, 1991.
    • (1991) NATO ASI Series , pp. 329-338
    • Györfi, L.1
  • 16
    • 0032027780 scopus 로고    scopus 로고
    • Limits to consistent on-line forecasting for ergodic time series
    • L. Györfi, G. Morvai, and S. Yakowitz, Limits to consistent on-line forecasting for ergodic time series, IEEE Trans. Inform. Theory 44 (1998), 886-892.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 886-892
    • Györfi, L.1    Morvai, G.2    Yakowitz, S.3
  • 17
    • 9144272791 scopus 로고
    • Estimation of a convex real parameter of an unknown information source
    • J. Kieffer, Estimation of a convex real parameter of an unknown information source, Ann. Probab. 7 (1979), 882-886.
    • (1979) Ann. Probab. , vol.7 , pp. 882-886
    • Kieffer, J.1
  • 18
    • 0029341263 scopus 로고
    • Rates of convergence of nearest neighbor estimation under arbitrary sampling
    • S. R. Kulkarni and S. E. Posner, Rates of convergence of nearest neighbor estimation under arbitrary sampling, IEEE Trans. Inform. Theory 41 (1995), 1028-1039.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1028-1039
    • Kulkarni, S.R.1    Posner, S.E.2
  • 19
    • 0021197309 scopus 로고
    • Distribution-free consistency of a nonparametric kernel regression estimate and classification
    • A. Krzyżak and M. Pawlak, Distribution-free consistency of a nonparametric kernel regression estimate and classification, IEEE Trans. Inform. Theory 30 (1984), 78-81.
    • (1984) IEEE Trans. Inform. Theory , vol.30 , pp. 78-81
    • Krzyzak, A.1    Pawlak, M.2
  • 20
    • 0002812609 scopus 로고    scopus 로고
    • A multifractal walk down Wall Street
    • B. B. Mandelbrot, A multifractal walk down Wall Street, Scientif. Amer. 280 (1999), 70-73.
    • (1999) Scientif. Amer. , vol.280 , pp. 70-73
    • Mandelbrot, B.B.1
  • 21
    • 84974185463 scopus 로고
    • Nonparametric estimation and identification of nonlinear ARCH time series
    • E. Masry and D. Tjostheim, Nonparametric estimation and identification of nonlinear ARCH time series, Econ. Theory 11 (1995), 258-289.
    • (1995) Econ. Theory , vol.11 , pp. 258-289
    • Masry, E.1    Tjostheim, D.2
  • 22
    • 0030551977 scopus 로고    scopus 로고
    • Nonparametric inferences for ergodic, stationary time series
    • G. Morvai, S. Yakowitz, and L. Györfi, Nonparametric inferences for ergodic, stationary time series, Ann. Statist. 24 (1996), 370-379.
    • (1996) Ann. Statist. , vol.24 , pp. 370-379
    • Morvai, G.1    Yakowitz, S.2    Györfi, L.3
  • 24
    • 0348238223 scopus 로고    scopus 로고
    • Regression estimation from an individual stable sequence
    • to appear
    • G. Morvai, S. Kulkarni, and A. Nobel, Regression estimation from an individual stable sequence, Statistics, to appear, 1999.
    • (1999) Statistics
    • Morvai, G.1    Kulkarni, S.2    Nobel, A.3
  • 25
    • 0031103068 scopus 로고    scopus 로고
    • Weakly convergent nonparametric forecasting of stationary time series
    • G. Morvai, S. Yakowitz, and P. Algoet, Weakly convergent nonparametric forecasting of stationary time series, IEEE Trans. Inform. Theory 43 (1997), 483-498.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 483-498
    • Morvai, G.1    Yakowitz, S.2    Algoet, P.3
  • 26
    • 0032029008 scopus 로고    scopus 로고
    • Density estimation from an individual numerical sequence
    • A. Nobel, G. Morvai, and S. Kulkarni, Density estimation from an individual numerical sequence, IEEE Trans. Inform. Theory 44 (1998), 537-541.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , pp. 537-541
    • Nobel, A.1    Morvai, G.2    Kulkarni, S.3
  • 27
    • 51249183423 scopus 로고
    • Guessing the next output of a stationary process
    • D. Ornstein, Guessing the next output of a stationary process, Israel J. Math. 30 (1978), 292-296.
    • (1978) Israel J. Math. , vol.30 , pp. 292-296
    • Ornstein, D.1
  • 28
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data
    • S. Resnick, Heavy tail modeling and teletraffic data, Ann. Math. Statist. 25 (1997), 1805-1849.
    • (1997) Ann. Math. Statist. , vol.25 , pp. 1805-1849
    • Resnick, S.1
  • 29
    • 0002230924 scopus 로고
    • Time series with strong dependence
    • C. A. Sims, Ed., Cambridge Univ. Press, Cambridge, UK
    • P. Robinson, Time series with strong dependence, in "Advances in Econometrics: Sixth World Congress" (C. A. Sims, Ed.), Vol. I, pp. 47-95, Cambridge Univ. Press, Cambridge, UK, 1994.
    • (1994) Advances in Econometrics: Sixth World Congress , vol.1 , pp. 47-95
    • Robinson, P.1
  • 30
    • 0000661887 scopus 로고
    • Density estimates and Markov sequences
    • M. Puri, Ed., Cambridge Univ. Press, London
    • M. Rosenblatt, Density estimates and Markov sequences, in "Nonparametric Techniques in Statistical Inference" (M. Puri, Ed.), pp. 199-210, Cambridge Univ. Press, London, 1970.
    • (1970) Nonparametric Techniques in Statistical Inference , pp. 199-210
    • Rosenblatt, M.1
  • 31
    • 84950440675 scopus 로고
    • Non-parametric estimation of the transition distribution of a Markov processes
    • G. Roussas, Non-parametric estimation of the transition distribution of a Markov processes, Ann. Inst. Statist. Math. 21 (1969), 73-87.
    • (1969) Ann. Inst. Statist. Math. , vol.21 , pp. 73-87
    • Roussas, G.1
  • 32
    • 0024097061 scopus 로고
    • Prediction of random sequences and universal coding
    • B. Ya. Ryabko, Prediction of random sequences and universal coding, Problems Inform. Transmission 24 (1988), 87-96.
    • (1988) Problems Inform. Transmission , vol.24 , pp. 87-96
    • Ryabko, B.Ya.1
  • 33
    • 0027553276 scopus 로고
    • Universal redundancy rates don't exist
    • P. Shields, Universal redundancy rates don't exist, IEEE Trans. Inform. Theory 39 (1993), 520-524.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 520-524
    • Shields, P.1
  • 34
    • 0001293371 scopus 로고
    • Consistent window estimation in nonparametric regression
    • C. Spiegelman and J. Sacks, Consistent window estimation in nonparametric regression, Ann. Statist. 8 (1980), 240-246.
    • (1980) Ann. Statist. , vol.8 , pp. 240-246
    • Spiegelman, C.1    Sacks, J.2
  • 35
    • 0000439527 scopus 로고
    • Consistent nonparametric regression
    • C. J. Stone, Consistent nonparametric regression, Ann. Statist. 8 (1977), 1348-1360.
    • (1977) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.J.1
  • 36
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • G. S. Watson, Smooth regression analysis, Sankhya Ser. A 26 (1964), 359-372.
    • (1964) Sankhya Ser. A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 37
    • 84972521562 scopus 로고
    • Self-similarity in high-speed packet traffic-analysis and modeling on ethernet traffic measurements
    • W. Willinger, M. S. Taqqu, W. E. Leland, and D. V. Wilson, Self-similarity in high-speed packet traffic-analysis and modeling on ethernet traffic measurements, Statist. Sci. 10 (1995), 67-85.
    • (1995) Statist. Sci. , vol.10 , pp. 67-85
    • Willinger, W.1    Taqqu, M.S.2    Leland, W.E.3    Wilson, D.V.4
  • 38
    • 0001207364 scopus 로고
    • Nearest neighbor regression estimation for null-recurrent Markov time series
    • S. Yakowitz, Nearest neighbor regression estimation for null-recurrent Markov time series, Stochastic Process. Appl. 37 (1993), 311-318.
    • (1993) Stochastic Process. Appl. , vol.37 , pp. 311-318
    • Yakowitz, S.1
  • 39
    • 0018019231 scopus 로고
    • Compression of individual sequences by variable rate coding
    • J. Ziv and A. Lempel, Compression of individual sequences by variable rate coding, IEEE Trans. Inform. Theory 24 (1978), 530-536.
    • (1978) IEEE Trans. Inform. Theory , vol.24 , pp. 530-536
    • Ziv, J.1    Lempel, A.2


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