In this paper we propose a continuous-time Markov chain to describe the spread of an infective and non-mortal disease into a community numerically limited and subjected to an external infection. We make a numerical simulation that shows tendencies for recurring epidemic outbreaks and for fade-out or
The multi-chain Markov switching model
โ Scribed by Edoardo Otranto
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 258 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0277-6693
- DOI
- 10.1002/for.965
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โฆ Synopsis
In many real phenomena the behaviour of a certain variable, subject to different regimes, depends on the state of other variables or the same variable observed in other subjects, so the knowledge of the state of the latter could be important to forecast the state of the former. In this paper a particular multivariate Markov switching model is developed to represent this case. The transition probabilities of this model are characterized by the dependence on the regime of the other variables. The estimation of the transition probabilities provides useful information for the researcher to forecast the regime of the variables analysed. Theoretical background and an application are shown.
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