메뉴 건너뛰기




Volumn 28, Issue 7, 1999, Pages 1711-1730

A Bayesian method in determining the order of a finite state Markov chain

Author keywords

AIC; Bayes factors; BIC; Noninformative priors; Order of a Markov chain

Indexed keywords


EID: 0012097198     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929908832381     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0016355478 scopus 로고
    • A New Look at the Statistical Model Identification
    • Akaike, H. (1974). A New Look at the Statistical Model Identification. IEEE Transactions on Automatic Control, 19, 716-723.
    • (1974) IEEE Transactions on Automatic Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 2
    • 0002371041 scopus 로고
    • Statistical Inference about Markov Chains
    • Anderson, T. W. and Goodman, L. A. (1957). Statistical Inference about Markov Chains. Ann. Math. Stat., 28, 89-110.
    • (1957) Ann. Math. Stat. , vol.28 , pp. 89-110
    • Anderson, T.W.1    Goodman, L.A.2
  • 3
    • 0003030604 scopus 로고
    • The Frequency Goodness of Fit Tests for Probability Chains
    • Bartlett, M. S. (1951). The Frequency Goodness of Fit Tests for Probability Chains. Proc. Camb. Phil. Soc., 47, 86-95.
    • (1951) Proc. Camb. Phil. Soc. , vol.47 , pp. 86-95
    • Bartlett, M.S.1
  • 5
    • 0000298252 scopus 로고    scopus 로고
    • The Intrinsic Bayes Factor for Model Selection and Prediction
    • Berger, J. O. and Pericchi, L. R. (1996). The Intrinsic Bayes Factor for Model Selection and Prediction. J. Amer. Statist. Assoc., 91, 109-122.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 109-122
    • Berger, J.O.1    Pericchi, L.R.2
  • 6
    • 0001809736 scopus 로고    scopus 로고
    • The Intrinsic Bayes Factor for Linear Models
    • eds. J. M. Bernardo et al., Oxford, U.K.: Oxford University Press
    • Berger, J. O. and Pericchi, L. R. (1996). The Intrinsic Bayes Factor for Linear Models. In Bayesian Statistics 5, eds. J. M. Bernardo et al., Oxford, U.K.: Oxford University Press, 25-44.
    • (1996) Bayesian Statistics 5 , pp. 25-44
    • Berger, J.O.1    Pericchi, L.R.2
  • 7
    • 78449276408 scopus 로고
    • A Markov Chain Model for Daily Rainfall Occurrence at Tel Aviv
    • Gabriel, K. and Neumann, J. (1962). A Markov Chain Model for Daily Rainfall Occurrence at Tel Aviv. Quart. J. Roy. Meteor. Soc., 88, 90-95.
    • (1962) Quart. J. Roy. Meteor. Soc. , vol.88 , pp. 90-95
    • Gabriel, K.1    Neumann, J.2
  • 8
    • 0017020133 scopus 로고
    • On Markov Chain Modeling to Some Weather Data
    • Gates, P. and Tong, U. (1976). On Markov Chain Modeling to Some Weather Data. Journal of Applied Meteorology, 15, 1145-1151.
    • (1976) Journal of Applied Meteorology , vol.15 , pp. 1145-1151
    • Gates, P.1    Tong, U.2
  • 9
    • 84959581633 scopus 로고
    • The Serial Test for Sampling Numbers and Other Tests for Randomness
    • Good, I. J. (1953). The Serial Test for Sampling Numbers and Other Tests for Randomness. Proc. Camb. Phil. Soc., 49, 276-284.
    • (1953) Proc. Camb. Phil. Soc. , vol.49 , pp. 276-284
    • Good, I.J.1
  • 10
    • 3242703020 scopus 로고
    • The Likelihood Ratio Test for Markov Chains
    • Good, I. J. (1955). The Likelihood Ratio Test for Markov Chains. Biometrika, 42, 531-533.
    • (1955) Biometrika , vol.42 , pp. 531-533
    • Good, I.J.1
  • 11
    • 0002146417 scopus 로고
    • The Generalized Serial Test and the Binary Expansion of √2
    • Good, I. J. and Gover, T. N. (1967). The Generalized Serial Test and The Binary Expansion of √2. J. R. Statist. Soc., Ser. A, 130, 102-107.
    • (1967) J. R. Statist. Soc., Ser. A , vol.130 , pp. 102-107
    • Good, I.J.1    Gover, T.N.2
  • 12
    • 0001671645 scopus 로고
    • A Test for Markov Chains
    • Hoel, P. G. (1954). A Test for Markov Chains. Biometrika, 41, 430-433.
    • (1954) Biometrika , vol.41 , pp. 430-433
    • Hoel, P.G.1
  • 15
    • 0000567699 scopus 로고
    • Fitting Autoregressions
    • Jones, R. H. (1975). Fitting Autoregressions. J. Amer. Statist. Assoc., 70, 590-592.
    • (1975) J. Amer. Statist. Assoc. , vol.70 , pp. 590-592
    • Jones, R.H.1
  • 17
    • 0019598027 scopus 로고
    • On Some Critera for Estimating the Order of a Markov Chain
    • Katz, R. W. (1981). On Some Critera for Estimating the Order of a Markov Chain. Technometrics, 23, 243-249.
    • (1981) Technometrics , vol.23 , pp. 243-249
    • Katz, R.W.1
  • 19
    • 0000120766 scopus 로고
    • Estimating the Dimension of a Model
    • Schwarz, G. (1978). Estimating the Dimension of a Model. Annals of Statistics, 6, 461-464.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 20
    • 0001588455 scopus 로고
    • Comments on Model Selection Criteria of Akaike and Schwarz
    • Stone, M. (1979). Comments on Model Selection Criteria of Akaike and Schwarz. J. R. Statist. Soc., Ser. B, 41, 276-278.
    • (1979) J. R. Statist. Soc., Ser. B , vol.41 , pp. 276-278
    • Stone, M.1
  • 21
    • 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. Journal of Applied Probability, 12, 488-497.
    • (1975) Journal of Applied Probability , vol.12 , pp. 488-497
    • Tong, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.