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三状态隐马氏模型观测过程的可逆性(英文)

On the Reversibility of the Observed Process of Three-state Hidden Markov Model
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摘要 对于连续时间和离散时间三状态隐马氏模型,给出了观测过程直到三维的似然函数流的显式表达.作为一个应用,证明了观测过程可逆性的充分必要条件. For the continuous-time and the discrete-time three-state hidden Markov model, the flux of the likelihood function up to 3-dimensional of the observed process is shown explicitly. As an application, the sufficient and necessary condition of the reversibility of the observed process is shown.
作者 陈勇
出处 《数学进展》 CSCD 北大核心 2011年第3期345-355,共11页 Advances in Mathematics(China)
基金 Supported by Hunan Provincial Nature Science Foundation of China(No.10JJ6014)
关键词 隐马氏模型 似然函数(联合概率分布) 可逆性 hidden Markov models likelihood function(joint probability distribution) reversibility
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参考文献24

  • 1Kolmogorov, A.N., Zur Theorie der Markoffschen Ketten, Math. Ann., 1936, 112: 155-160.
  • 2Hostinsky, B., Potocek, J., Chaines de Markoff inverses, Bull. Intern. Acad. Technique Sci., 1935, 36: 64-67.
  • 3Dobrushin, R.L., Sukhov, Y.M., Fritz, J., A.N. Kolmogorov-the founder of the theory of reversible Markov processes, Uspekhi Mat. Nauk, 1988, 43(6): 167-188.
  • 4Dobrushin, R.L., Sukhov, Y.M., Fritz, J., A.N. Kolmogorov-the founder of the theory of reversible Markov processes, Russian Math. Surveys, 1988, 43(6): 157-182.
  • 5Qian H., Qian M., Tang X., Thermodynamics of the general diffusion process: time-reversibility and entropy production, J. Star. Phys., 2002, 107: 1129-1141.
  • 6Jiang D-Q, Qian M., Qian M-P, Mathematical Theory of Nonequilibrium Steady States, Berlin: Springer, 2004.
  • 7Serfozo, R.F., Reversible Markov processes on general spaces and spatial migration processes, Adv. in Appl. Probab., 2005, 37(3): 801-818.
  • 8Ge H., Jiang D-Q, Qian M., Reversibility and entropy production of inhomogeneous Markov chains, J. Appl. Probab., 2006, 43(4): 1028-1043.
  • 9Wang H., Qian H., On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics, J. Math. Phys., 2007, 48: 013303.
  • 10Weiss, G., Time reversibility of linear stochastic processes, J. Appl. Probability, 1975, 12: 831-836.

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