1995
DOI: 10.1016/0165-1684(94)00088-h
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State duration modelling in hidden Markov models

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Cited by 56 publications
(35 citation statements)
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“…Moreover, it also requires a considerable amount of memory space for the storage of all the duration distributions. On the other hand, the parametric method allows some specific probability density functions, such as Poisson (Russell & Moore, 1985;Russell & Cook, 1987), gamma (Levinson, 1986;Burshtein, 1995), Gaussian (Rabiner, 1989;Burshtein, 1995) and bounded density functions (Gu et al, 1991;Kim, Yoon & Youn, 1994;Vaseghi, 1995;Power, 1996;Laurila, 1997) to be used to model the state duration distributions explicitly, which requires only a few parameters to completely specify its distribution. It is inevitable that there are some drawbacks in the use of the parametric approach.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, it also requires a considerable amount of memory space for the storage of all the duration distributions. On the other hand, the parametric method allows some specific probability density functions, such as Poisson (Russell & Moore, 1985;Russell & Cook, 1987), gamma (Levinson, 1986;Burshtein, 1995), Gaussian (Rabiner, 1989;Burshtein, 1995) and bounded density functions (Gu et al, 1991;Kim, Yoon & Youn, 1994;Vaseghi, 1995;Power, 1996;Laurila, 1997) to be used to model the state duration distributions explicitly, which requires only a few parameters to completely specify its distribution. It is inevitable that there are some drawbacks in the use of the parametric approach.…”
Section: Introductionmentioning
confidence: 99%
“…Each activity will be placed in a HAM leaf node (sensor level) according to its day and time of occurrence, and will have a start time and event durations assigned to it. There have been earlier approaches to modeling durations of states in a Markov chain such as the approach by Vaseghi [14] in which state transition probabilities are conditioned on how long the current stated has been occupied. In our model, for each activity at each time node, we describe the start time and the duration of each individual event using a normal distribution that will be updated every time new data is collected.…”
Section: Temporal Informationmentioning
confidence: 99%
“…Another important source of temporal information is the start time and duration distributions of events of an activity. There have been earlier approaches to modeling durations of states in a Markov decision process such as the approach by Vaseghi [13] in which state transition probabilities are conditioned on how long the current stated has been occupied. In HAM, we model the start time of the first event of an activity and durations of all events of an activity using a normal distribution.…”
Section: Hierarchical Activity Model: Hammentioning
confidence: 99%