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Markov chain model in structural state and its inference

Ji Yao

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Abstract

Markov chain is an acceptable model for describing and forecasting structural state, whereas the present method, the maximum likelihood method, meets difficulties in the course of setting up the model, because it takes a long time to collect data in different period. A new method of least squares on data of present states is presented in this paper, which makes it more feasible for Markov chain model to set up in practive.

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What this paper is about

Markov chain is an acceptable model for describing and forecasting structural state, whereas the present method, the maximum likelihood method, meets difficulties in the course of setting up the model, because it takes a long time to collect data in different period. A new method of least squares on data of present states is presented in this paper, which makes it more feasible for Markov chain model to set up in practive.

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Available abstract

Markov chain is an acceptable model for describing and forecasting structural state, whereas the present method, the maximum likelihood method, meets difficulties in the course of setting up the model, because it takes a long time to collect data in different period. A new method of least squares on data of present states is presented in this paper, which makes it more feasible for Markov chain model to set up in practive.

Key concepts: Markov chain, Inference, Computer science, Markov model, Markov chain Monte Carlo, Additive Markov chain, Variable-order Markov model, Set (abstract data type)

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