Stationary probability vectors of higher-order two-dimensional transition probability tensors

A. Raftery, A model of high-order Markov chains, Journal of the Royal Statistical Society, Series B, 47 (1985): 528-539

1985

Earlier work this paper cites.

A. Berman and R. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Classics in Applied Mathematics, SIAM, 1994

1994

Earlier work this paper cites.

A. Raftrey and S. Tavare, Estimation and modelling repeated patterns in high order Markov chains with the mixture transition distribution model, Applied Statistics, 43 (1994): 179-199

1994

Earlier work this paper cites.

M. Waterman, Introduction to Computational Biology, Chapman & Hall, Cambridge, 1995

1995

Earlier work this paper cites.

I. MacDonald and W. Zucchini, Hidden Markov and Other Models for Discrete-valued Time Series, Chapman & Hall, London, 1997

1997

Earlier work this paper cites.

L. Qi, Eigenvalues of a real supersymmetric tensor, J. Symbolic Comput., 40 (2005): 1302-1324

2005

Earlier work this paper cites.

L.-H. Lim, Singular values and eigenvalues of tensors: a variational approach, in: Proceedings of the IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP’05, vol. 1, 2005, pp. 129-132

2005

Cited alongside, same era.

W. Ching and M. Ng, Markov Chains: Models, Algorithms and Applications, International Series on Operations Research and Management Science, Springer, 2006

2006

Cited alongside, same era.

K.C. Chang, K. Pearson, T. Zhang, Perron-Frobenius theorem for nonnegative tensors, Commun. Math. Sci., 6 (2008): 507-520

Original

2008

Cited alongside, same era.

M. Ng, L. Qi and G. Zhou, Finding the largest eigenvalue of a non-negative tensor, SIAM J. Matrix Anal. Appl., 31 (2009): 1090-1099

2009

Cited alongside, same era.

S. Hu and L. Qi, Convergence of a second order Markov chain, Appl. Math. Comput., 241 (2014): 183-192

2014

Later among the works it cites.

W. Li and M. Ng, On the limiting probability distribution of a transition probability tensor, Linear Multilinear Algebra, 62 (2014): 362-385

2014

Later among the works it cites.

C.-K. Li and S. Zhang, Stationary probability vectors of higher-order Markov chains, Linear Algebra Appl., 473 (2016): 114-125

2016

Later among the works it cites.

H. Bozorgmanesh and M. Hajarian, Convergence of a transition probability tensor of a higher-order Markov chain to the stationary probability vector, Numer. Linear Algebra Appl., 23 (2016): 972-988

2016

Later among the works it cites.

J. Culp, K. Pearson and T. Zhang, On the uniqueness of the Z 1 Z_{1} -eigenvector of transition probability tensors, Linear Multilinear Algebra, 65 (2017): 891-896