منابع مشابه
On extinction time of a generalized endemic chain-binomial model.
We considered a chain-binomial epidemic model not conferring immunity after infection. Mean field dynamics of the model has been analyzed and conditions for the existence of a stable endemic equilibrium are determined. The behavior of the chain-binomial process is probabilistically linked to the mean field equation. As a result of this link, we were able to show that the mean extinction time of...
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We establish a connection between a class of chain-binomial models of use in ecology and epidemiology and binomial autoregressive (AR) processes. New results are obtained for the latter, including expressions for the lag-conditional distribution and related quantities. We focus on two types of chain-binomial model, extinction-colonization and colonization-extinction models, and present two appr...
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A classic model of infectious disease transmission was developed during the 1930s by Lowell J. Reed and Wade Hamptom Frost of Johns Hopkins. Because the model is simple to explain and provides valuable insights, we will discuss it at this time. In the classical Reed-Frost model, we assume a fixed population of size N . At each time, there are a certain number of cases of disease, C, and a certa...
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A Corporation is a company that owns other companies outstanding stock. In business matters, a Corporation is a defaul company if, at least, one of its subsidiary is on default. The statistical interest is, in a specific period of time, to determine the Default probability for the Corporation given that the subsidiaries of this Corporation are correlated. Therefore, the model must address the i...
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Background: In recent years, there has been an increase in the amount and variety of data generated in the field of healthcare, (e.g., data related to the prevalence of contagious diseases in the society). Various patterns of individuals’ relationships in the society make the analysis of the network a complex, highly important process in detecting and preventing the incidence of diseases....
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ژورنال
عنوان ژورنال: Open Journal of Statistics
سال: 2016
ISSN: 2161-718X,2161-7198
DOI: 10.4236/ojs.2016.61001