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Volumn 52, Issue 3, 2006, Pages 343-372

Analysing grouping of nucleotides in DNA sequences using lumped processes constructed from Markov chains

Author keywords

DNA sequence; Lumpability; Markov chain; Model selection

Indexed keywords

DNA;

EID: 32544433021     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00285-005-0358-y     Document Type: Article
Times cited : (3)

References (32)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control 19 (6), 716-723 (1974)
    • (1974) IEEE Transactions on Automatic Control , vol.19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 2
    • 0002469511 scopus 로고
    • Statistical methods in Markov chains
    • Billingsley, P.: Statistical methods in Markov chains. Ann. Math. Stat. 32, 12-40 (1961)
    • (1961) Ann. Math. Stat. , vol.32 , pp. 12-40
    • Billingsley, P.1
  • 3
    • 0039530516 scopus 로고    scopus 로고
    • Variable length Markov chains
    • Bühlmann, P., Wyner, A.J.: Variable length Markov chains. The Ann. Stat. 27 (2), 480-513 (1999)
    • (1999) The Ann. Stat. , vol.27 , Issue.2 , pp. 480-513
    • Bühlmann, P.1    Wyner, A.J.2
  • 4
    • 0001150840 scopus 로고
    • A Markovian function of a Markov chain
    • Burke, C.J., Rosenblatt, M.: A Markovian function of a Markov chain. Ann. Math. Stat. 29, 1112-1122 (1958)
    • (1958) Ann. Math. Stat. , vol.29 , pp. 1112-1122
    • Burke, C.J.1    Rosenblatt, M.2
  • 6
    • 0034343421 scopus 로고    scopus 로고
    • The consistency of the BIC Markov order estimator
    • Csiszár, I., Shields, P.C.: The consistency of the BIC Markov order estimator. The Ann. Stat. 28 (6), 1601-1619 (2000)
    • (2000) The Ann. Stat. , vol.28 , Issue.6 , pp. 1601-1619
    • Csiszár, I.1    Shields, P.C.2
  • 10
    • 0032221151 scopus 로고    scopus 로고
    • Statistical methodology for assessing homology of intronic regions of genes
    • Hall, D.L., Kadafar, K., Malkinson, A.M.: Statistical methodology for assessing homology of intronic regions of genes. The Canadian J. Stat. 26 (3), 455-465 (1998)
    • (1998) The Canadian J. Stat. , vol.26 , Issue.3 , pp. 455-465
    • Hall, D.L.1    Kadafar, K.2    Malkinson, A.M.3
  • 14
    • 0019598027 scopus 로고
    • On some criteria for estimating the order of a Markov chain
    • Katz, R.W.: On some criteria for estimating the order of a Markov chain. Technometrics 23 (3), 243-249 (1981)
    • (1981) Technometrics , vol.23 , Issue.3 , pp. 243-249
    • Katz, R.W.1
  • 18
    • 0035371080 scopus 로고    scopus 로고
    • Diversity in translational regulation
    • Macdonald, P.: Diversity in translational regulation. Current Opinion Cell Biol. 13, 326-331 (2001)
    • (2001) Current Opinion Cell Biol. , vol.13 , pp. 326-331
    • Macdonald, P.1
  • 19
    • 3042630661 scopus 로고    scopus 로고
    • Variable length Markov chains: Methodology, computing and software
    • Mächler, M., Bühemann, P.: Variable length Markov chains: Methodology, computing and software. J. Computational and Graphical Stat. 13 (2), 435-455 (2004)
    • (2004) J. Computational and Graphical Stat. , vol.13 , Issue.2 , pp. 435-455
    • Mächler, M.1    Bühemann, P.2
  • 21
    • 0036087522 scopus 로고    scopus 로고
    • UTRdb and UTRsite: Specialized database of sequences and functional elements of 5′ and 3′ untranslated regions of eukaryotic mRNAs
    • Pesole, G., Liuni, S., Grillo, G., Licciulli, F., Mignone, F., Gissi, C., Saccone, C.: UTRdb and UTRsite: specialized database of sequences and functional elements of 5′ and 3′ untranslated regions of eukaryotic mRNAs. Nucleic Acids Res. 30, 335-340 (2002)
    • (2002) Nucleic Acids Res. , vol.30 , pp. 335-340
    • Pesole, G.1    Liuni, S.2    Grillo, G.3    Licciulli, F.4    Mignone, F.5    Gissi, C.6    Saccone, C.7
  • 23
    • 21344497723 scopus 로고
    • Estimation and modelling repeated patterns in high order Markov chains with the mixture transition distribution model
    • Raftery, A.E., Tavaré, S.: Estimation and modelling repeated patterns in high order Markov chains with the mixture transition distribution model. Appl. Stat. 43 (1), 179-199 (1994)
    • (1994) Appl. Stat. , vol.43 , Issue.1 , pp. 179-199
    • Raftery, A.E.1    Tavaré, S.2
  • 24
    • 0034125366 scopus 로고    scopus 로고
    • Probabilistic and statistical properties of words: An overview
    • Reinert, G., Schbath, S., Waterman, M.S.: Probabilistic and statistical properties of words: An overview. J. Comput. Biol. 7 (1/2), 1-46 (2000)
    • (2000) J. Comput. Biol. , vol.7 , Issue.1-2 , pp. 1-46
    • Reinert, G.1    Schbath, S.2    Waterman, M.S.3
  • 25
    • 0033238297 scopus 로고    scopus 로고
    • Exact distribution of word occurrences in a random sequence of letters
    • Robin, S., Daudin, J.J.: Exact distribution of word occurrences in a random sequence of letters. J. Appl. Probability 36, 179-193 (1999)
    • (1999) J. Appl. Probability , vol.36 , pp. 179-193
    • Robin, S.1    Daudin, J.J.2
  • 26
    • 0027677926 scopus 로고
    • Estimating equilibrium probabilities for band diagonal Markov chains using aggregation and disaggregation techniques
    • Rogers, D.F., Plante, R.D.: Estimating equilibrium probabilities for band diagonal Markov chains using aggregation and disaggregation techniques. Computers & Oper. Res. 20, 857-877 (1993)
    • (1993) Computers & Oper. Res. , vol.20 , pp. 857-877
    • Rogers, D.F.1    Plante, R.D.2
  • 27
    • 0030282113 scopus 로고    scopus 로고
    • The power of amnesia: Learning probabilistic automata with variable memory length
    • Ron, D., Singer, Y., Tishby, N.: The power of amnesia: Learning probabilistic automata with variable memory length. Machine Learning 25, 117-149 (1996)
    • (1996) Machine Learning , vol.25 , pp. 117-149
    • Ron, D.1    Singer, Y.2    Tishby, N.3
  • 28
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G.: Estimating the dimension of a model. The Ann. Stat. 6 (2), 461-464 (1978)
    • (1978) The Ann. Stat. , vol.6 , Issue.2 , pp. 461-464
    • Schwarz, G.1
  • 29
    • 0031568356 scopus 로고    scopus 로고
    • Probabilistic independence networks for hidden Markov probability models
    • Smyth, P., Heckerman, D., Jordan, M.I.: Probabilistic independence networks for hidden Markov probability models. Neural Computation 9, 227-269 (1997)
    • (1997) Neural Computation , vol.9 , pp. 227-269
    • Smyth, P.1    Heckerman, D.2    Jordan, M.I.3
  • 30
    • 0442323012 scopus 로고    scopus 로고
    • The intersite distances between pattern occurrences in strings generated by general discrete- and continuous-time models: An algorithmic approach
    • Stefanov, V.T.: The intersite distances between pattern occurrences in strings generated by general discrete- and continuous-time models: An algorithmic approach. J. Appl. Probability 40, 881-892 (2003)
    • (2003) J. Appl. Probability , vol.40 , pp. 881-892
    • Stefanov, V.T.1
  • 31
    • 30244448752 scopus 로고
    • An approximate test of Markov chain lumpability
    • Thomas, M.U., Barr, D.R.: An approximate test of Markov chain lumpability. J. American Stat. Association 72, 175-179 (1977)
    • (1977) J. American Stat. Association , vol.72 , pp. 175-179
    • Thomas, M.U.1    Barr, D.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.