On State Occupancies, First Passage Times and Duration in Non-Homogeneous Semi-Markov Chains
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- M. L. Menéndez & L. Pardo & M. C. Pardo & K. Zografos, 2011. "Testing the Order of Markov Dependence in DNA Sequences," Methodology and Computing in Applied Probability, Springer, vol. 13(1), pages 59-74, March.
- Jeffrey J. Hunter, 2007. "Simple Procedures For Finding Mean First Passage Times In Markov Chains," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(06), pages 813-829.
- M-A Guerry & T De Feyter, 2012. "Optimal recruitment strategies in a multi-level manpower planning model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(7), pages 931-940, July.
- P.-C. G. Vassiliou & A. C. Georgiou, 1990. "Asymptotically Attainable Structures in Nonhomogeneous Markov Systems," Operations Research, INFORMS, vol. 38(3), pages 537-545, June.
- Dimitriou, V.A. & Georgiou, A.C. & Tsantas, N., 2013. "The multivariate non-homogeneous Markov manpower system in a departmental mobility framework," European Journal of Operational Research, Elsevier, vol. 228(1), pages 112-121.
- Maria Symeonaki, 2015. "Theory of fuzzy non homogeneous Markov systems with fuzzy states," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2369-2385, November.
- Papapetrou, M. & Kugiumtzis, D., 2013. "Markov chain order estimation with conditional mutual information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1593-1601.
- F.I. Ugwuowo & S.I. McClean, 2000. "Modelling heterogeneity in a manpower system: a review," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 16(2), pages 99-110, April.
- V. A. Dimitriou & A. C. Georgiou, 2021. "Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(5), pages 1173-1199, March.
- P.‐C. G. Vassiliou, 1997. "The evolution of the theory of non‐homogeneous Markov systems," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 13(3‐4), pages 159-176, September.
- Zhang, Xuan & Hou, Zhenting, 2012. "The first-passage times of phase semi-Markov processes," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 40-48.
- R. J. Boys & D. A. Henderson & D. J. Wilkinson, 2000. "Detecting homogeneous segments in DNA sequences by using hidden Markov models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 49(2), pages 269-285.
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Keywords
semi-Markov modeling; occupancy; first passage time; duration; non-homogeneity; DNA sequences;All these keywords.
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