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Hidden Semi-Markov Models by Shun-Zheng Yu

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Chapter 6

Various Duration Distributions

Abstract

A nonparametric distribution of state duration can express probabilities of every state duration that may occur. The number of model parameters for the state duration distributions is thus determined by the maximum duration of a state. In some applications, however, parametric distributions of state duration are preferred so that only a few parameters that specify the selected distribution functions are needed. More importantly, a parametric distribution with a few parameters can express infinite length of state duration. This implies that a training sequence of observations can be shorter than the maximum duration of states. This chapter presents the most popular parametric distributions of state ...

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