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Hidden Semi-Markov Models by Shun-Zheng Yu

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These show that a book borrowed from library 2 and returned to library 2 often has longer holding period. Thus the mean holding times that a book is borrowed from different libraries are

d¯1=a1,1d¯1,1+a1,2d¯1,23.67d¯2=a2,1d¯2,1+a2,2d¯2,2=7.75.

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These show that people hold a book borrowed from library 2 for a longer time.

1.2 Hidden Markov Models

In this chapter, we briefly review the hidden Markov model (HMM). An HMM is defined as a doubly stochastic process. The underlying stochastic process is a discrete-time finite-state homogeneous Markov chain. ...

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