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Volumn 52, Issue 2, 2000, Pages 287-315

Model selection for variable length Markov chains and tuning the context algorithm

Author keywords

Bootstrap; Final prediction error; Finite memory source; FSMX model; Kullback Leibler information; L2 loss; Optimal tree pruning; Resampling; Tree model; Zero one loss

Indexed keywords


EID: 6744229778     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004165822461     Document Type: Article
Times cited : (38)

References (23)
  • 1
    • 84942737910 scopus 로고
    • Fitting autoregressive models for prediction
    • Akaike, H. (1969). Fitting autoregressive models for prediction, Ann. Inst. Statist. Math., 21, 243-247.
    • (1969) Ann. Inst. Statist. Math. , vol.21 , pp. 243-247
    • Akaike, H.1
  • 2
    • 51249190305 scopus 로고
    • Statistical predictor identification
    • Akaike, H. (1970). Statistical predictor identification, Ann. Inst. Statist. Math., 22, 202-217.
    • (1970) Ann. Inst. Statist. Math. , vol.22 , pp. 202-217
    • Akaike, H.1
  • 3
    • 0000501656 scopus 로고
    • Information theory and the maximum likelihood principle
    • (eds. B. N. Petrov and F. Csàki), Akademiai Kiàdo, Budapest
    • Akaike, H. (1973). Information theory and the maximum likelihood principle, 2nd International Symposium on Information Theory (eds. B. N. Petrov and F. Csàki), 267-281, Akademiai Kiàdo, Budapest.
    • (1973) 2nd International Symposium on Information Theory , pp. 267-281
    • Akaike, H.1
  • 5
    • 0041837835 scopus 로고    scopus 로고
    • Efficient and adaptive post-model-selection estimators
    • Bühlmann, P. (1999). Efficient and adaptive post-model-selection estimators, J. Statist. Plann. Inference, 79, 1-9.
    • (1999) J. Statist. Plann. Inference , vol.79 , pp. 1-9
    • Bühlmann, P.1
  • 6
    • 0039530516 scopus 로고    scopus 로고
    • Variable length Markov chains
    • Bühlmann, P. and Wyner, A. J. (1999). Variable length Markov chains. Ann. Statist., 27, 480-513.
    • (1999) Ann. Statist. , vol.27 , pp. 480-513
    • Bühlmann, P.1    Wyner, A.J.2
  • 7
    • 0030679857 scopus 로고    scopus 로고
    • A percolating state selector for suffix-tree context models
    • (eds. J. A. Storer and M. Cohn), IEEE Computer Society Press, Los Alamitos, CA
    • Bunton, S. (1997). A percolating state selector for suffix-tree context models, Proc. of the 1997 Data Compression Conference, Snowbird, Utah (eds. J. A. Storer and M. Cohn), 32-41, IEEE Computer Society Press, Los Alamitos, CA.
    • (1997) Proc. of the 1997 Data Compression Conference, Snowbird, Utah , pp. 32-41
    • Bunton, S.1
  • 8
    • 0031478161 scopus 로고    scopus 로고
    • A bootstrap variant of AIC for state-space model selection
    • Cavanaugh, J. and Shumway, R. (1997). A bootstrap variant of AIC for state-space model selection, Statist. Sinica, 7, 473-496.
    • (1997) Statist. Sinica , vol.7 , pp. 473-496
    • Cavanaugh, J.1    Shumway, R.2
  • 9
    • 0003155075 scopus 로고
    • Mixing. Properties and examples
    • Springer, New York
    • Doukhan, P. (1994). Mixing. Properties and Examples, Lecture Notes in Statist., No. 85, Springer, New York.
    • (1994) Lecture Notes in Statist. , vol.85
    • Doukhan, P.1
  • 10
    • 84950461478 scopus 로고
    • Estimating the error rate of a prediction rule: Improvement on cross-validation
    • Efron, B. (1983). Estimating the error rate of a prediction rule: improvement on cross-validation, J. Amer. Statist. Assoc., 78, 316-331.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 316-331
    • Efron, B.1
  • 11
    • 80053264999 scopus 로고
    • How biased is the apparent error rate of a prediction rule
    • Efron, B. (1986). How biased is the apparent error rate of a prediction rule, J. Amer. Statist. Assoc., 81, 461-470.
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 461-470
    • Efron, B.1
  • 12
    • 0024733038 scopus 로고
    • On the estimation of the order of a Markov chain and universal data compression
    • Merhav, N., Gutman, M. and Ziv, J. (1989). On the estimation of the order of a Markov chain and universal data compression, IEEE Trans. Inform. Theory, IT-35, 1014-1019.
    • (1989) IEEE Trans. Inform. Theory , vol.IT-35 , pp. 1014-1019
    • Merhav, N.1    Gutman, M.2    Ziv, J.3
  • 13
    • 0020824731 scopus 로고
    • A universal data compression system
    • Rissanen, J. (1983). A universal data compression system, IEEE Trans. Inform. Theory, IT-29, 656-664.
    • (1983) IEEE Trans. Inform. Theory , vol.IT-29 , pp. 656-664
    • Rissanen, J.1
  • 14
    • 0022754340 scopus 로고
    • Complexity of strings in the class of Markov sources
    • Rissanen, J. (1986). Complexity of strings in the class of Markov sources, IEEE Trans. Inform. Theory, IT-32, 526-532.
    • (1986) IEEE Trans. Inform. Theory , vol.IT-32 , pp. 526-532
    • Rissanen, J.1
  • 15
    • 0042338973 scopus 로고
    • Noise separation and MDL modeling of chaotic processes
    • (eds. P. Grassberger and J.-P. Nadal), Kluwer, Dordrecht
    • Rissanen, J. (1994). Noise separation and MDL modeling of chaotic processes, From Statistical Physics to Statistical Inference and Back (eds. P. Grassberger and J.-P. Nadal), 317-330. Kluwer, Dordrecht.
    • (1994) From Statistical Physics to Statistical Inference and Back , pp. 317-330
    • Rissanen, J.1
  • 16
    • 0001801337 scopus 로고
    • Statistical aspects of model selection
    • (ed. J. C. Willems), Springer, New York
    • Shibata, R. (1989). Statistical aspects of model selection, From Data to Model (ed. J. C. Willems), 215-240, Springer, New York.
    • (1989) From Data to Model , pp. 215-240
    • Shibata, R.1
  • 17
    • 0031480481 scopus 로고    scopus 로고
    • Bootstrap estimate of Kullback-Leibler information for model selection
    • Shibata, R. (1997). Bootstrap estimate of Kullback-Leibler information for model selection, Statist. Sinica, 7, 375-394.
    • (1997) Statist. Sinica , vol.7 , pp. 375-394
    • Shibata, R.1
  • 18
    • 0001930912 scopus 로고
    • Distribution of informational statistics and a criterion of model fitting
    • in Japanese
    • Takeuchi, K. (1976). Distribution of informational statistics and a criterion of model fitting, Suri-Kagaku (Mathematical Sciences), 153, 12-18 (in Japanese).
    • (1976) Suri-kagaku (Mathematical Sciences) , vol.153 , pp. 12-18
    • Takeuchi, K.1
  • 19
    • 0016556675 scopus 로고
    • Determination of the order of a Markov chain by Akaike's information criterion
    • Tong, H. (1975). Determination of the order of a Markov chain by Akaike's information criterion, J. Appl. Probab., 12, 488-497.
    • (1975) J. Appl. Probab. , vol.12 , pp. 488-497
    • Tong, H.1
  • 20
    • 38149146958 scopus 로고
    • Predictive stochastic complexity and model estimation for finite-state processes
    • Weinberger, M. J. and Feder, M. (1994). Predictive stochastic complexity and model estimation for finite-state processes, J. Statist. Plann. Inference, 39, 353-372.
    • (1994) J. Statist. Plann. Inference , vol.39 , pp. 353-372
    • Weinberger, M.J.1    Feder, M.2
  • 21
    • 0026866314 scopus 로고
    • A sequential algorithm for the universal coding of finite memory sources
    • Weinberger, M. J., Lempel, A. and Ziv, J. (1992). A sequential algorithm for the universal coding of finite memory sources, IEEE Trans. Inform. Theory, IT-38, 1002-1014.
    • (1992) IEEE Trans. Inform. Theory , vol.IT-38 , pp. 1002-1014
    • Weinberger, M.J.1    Lempel, A.2    Ziv, J.3
  • 23
    • 0030127897 scopus 로고    scopus 로고
    • Applications of universal context modeling to lossless compression of gray-scale images
    • Weinberger, M. J., Rissanen, J. and Arps, R. B. (1996). Applications of universal context modeling to lossless compression of gray-scale images, IEEE Trans. Image Processing, IP-5, 575-586.
    • (1996) IEEE Trans. Image Processing , vol.IP-5 , pp. 575-586
    • Weinberger, M.J.1    Rissanen, J.2    Arps, R.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.