메뉴 건너뛰기




Volumn 62, Issue 3, 2014, Pages 362-385

On the limiting probability distribution of a transition probability tensor

Author keywords

higher order Markov chains; it Z eigenvalue; iterative method; limiting probability distribution vector; non negative tensor; transition probability tensor

Indexed keywords


EID: 84888020693     PISSN: 03081087     EISSN: 15635139     Source Type: Journal    
DOI: 10.1080/03081087.2013.777436     Document Type: Article
Times cited : (167)

References (22)
  • 4
    • 0000029820 scopus 로고
    • A model of high-order Markov chains
    • Raftery A. A model of high-order Markov chains. J. Royal Stat. Soc. Ser. B. 1985;47:528-539.
    • (1985) J. Royal Stat. Soc. Ser. B , vol.47 , pp. 528-539
    • Raftery, A.1
  • 5
    • 21344497723 scopus 로고
    • Estimation and modelling repeated patterns in high order Markov chains with the mixture transition distribution model
    • Raftrey A, Tavare S. Estimation and modelling repeated patterns in high order Markov chains with the mixture transition distribution model. Appl. Stat. 1994;43:179-199.
    • (1994) Appl. Stat , vol.43 , pp. 179-199
    • Raftrey, A.1    Tavare, S.2
  • 7
    • 68149124133 scopus 로고    scopus 로고
    • FOG: fragment optimized growth algorithm for the de novo generation of molecules occupying druglike chemical
    • Kutchukian P, Lou D, Shakhnovich E. FOG: fragment optimized growth algorithm for the de novo generation of molecules occupying druglike chemical. J. Chem. Inf. Model. 2009;49: 1630-1642.
    • (2009) J. Chem. Inf. Model , vol.49 , pp. 1630-1642
    • Kutchukian, P.1    Lou, D.2    Shakhnovich, E.3
  • 8
    • 0037261108 scopus 로고    scopus 로고
    • A Data Cube Model for Prediction-based Web Prefetching
    • Yang Q, Huang Z, Ng M. A Data Cube Model for Prediction-based Web Prefetching. J. Intell. Inf. Sys. 2003;20:11-30.
    • (2003) J. Intell. Inf. Sys , vol.20 , pp. 11-30
    • Yang, Q.1    Huang, Z.2    Ng, M.3
  • 11
    • 84880245586 scopus 로고    scopus 로고
    • HAR: hub, authority and relevance scores in multi-relational data for query search
    • Anaheim, CA
    • Li X, Ng M, Ye Y. HAR: hub, authority and relevance scores in multi-relational data for query search, 2012 SIAM International Conference on Data Mining, Anaheim, CA; p. 141-152.
    • 2012 SIAM International Conference on Data Mining , pp. 141-152
    • Li, X.1    Ng, M.2    Ye, Y.3
  • 13
    • 0040831468 scopus 로고    scopus 로고
    • Limit distribution of a high order Markov chain
    • Adke S, Deshmukh S. Limit distribution of a high order Markov chain. J. R. Statis. Soc. B. 1998;50:105-108.
    • (1998) J. R. Statis. Soc. B , vol.50 , pp. 105-108
    • Adke, S.1    Deshmukh, S.2
  • 16
    • 27744582534 scopus 로고    scopus 로고
    • Eigenvalues of a real supersymmetric tensor
    • Qi L. Eigenvalues of a real supersymmetric tensor. J. Symb. Comput. 2005;40:1302-1324.
    • (2005) J. Symb. Comput , vol.40 , pp. 1302-1324
    • Qi, L.1
  • 17
    • 49349104328 scopus 로고    scopus 로고
    • Perron-Frobenius theorem for nonnegative tensors
    • Chang KC, Pearson K, Zhang T. Perron-Frobenius theorem for nonnegative tensors. Commu. Math. Sci. 2008;6:507-520.
    • (2008) Commu. Math. Sci , vol.6 , pp. 507-520
    • Chang, K.C.1    Pearson, K.2    Zhang, T.3
  • 18
    • 84869482453 scopus 로고    scopus 로고
    • Perron-Frobenius theorem for nonnegative multilinear forms and extensions
    • Friedland S, Gaubert S, Han L. Perron-Frobenius theorem for nonnegative multilinear forms and extensions. Linear Algebra Appl. 2013;438,2:738-759
    • (2013) Linear Algebra Appl , vol.438 , Issue.2 , pp. 738-759
    • Friedland, S.1    Gaubert, S.2    Han, L.3
  • 19
    • 72449208683 scopus 로고    scopus 로고
    • Finding the largest eigenvalue of a non-negative tensor
    • Ng M, Qi L, Zhou G. Finding the largest eigenvalue of a non-negative tensor. SIAM J. Matrix Anal. Appl. 2009;31:1090-1099.
    • (2009) SIAM J. Matrix Anal. Appl , vol.31 , pp. 1090-1099
    • Ng, M.1    Qi, L.2    Zhou, G.3
  • 21
    • 84893525539 scopus 로고    scopus 로고
    • NCBI, gene="REV7"
    • NCBI, http://www.ncbi.nlm.nih.gov/Sitmap/samplerecord.html, gene="REV7".
  • 22
    • 0041419360 scopus 로고    scopus 로고
    • The mixture transition distribution model for high-order Markov chains and non-Gaussian time series
    • Berchtold A, Raftery A. The mixture transition distribution model for high-order Markov chains and non-Gaussian time series. Stat. Sci. 2002;7:328-356.
    • (2002) Stat. Sci , vol.7 , pp. 328-356
    • Berchtold, A.1    Raftery, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.