Displaying similar documents to “A birth-death process approach to constructing multistate life tables.”

Coupling a branching process to an infinite dimensional epidemic process

Andrew D. Barbour (2010)

ESAIM: Probability and Statistics

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Branching process approximation to the initial stages of an epidemic process has been used since the 1950's as a technique for providing stochastic counterparts to deterministic epidemic threshold theorems. One way of describing the approximation is to construct both branching and epidemic processes on the same probability space, in such a way that their paths coincide for as long as possible. In this paper, it is shown, in the context of a Markovian model of parasitic infection,...

Cumulative processes related to event histories.

Cook, Richard, J. 1, Jerald F. Lawless, Ker-Ai Lee (2003)

SORT

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Costs or benefits which accumulate for individuals over time are of interest in many life history processes. Familiar examples include costs of health care for persons with chronic medical conditions, the payments to insured persons during periods of disability, and quality of life which is sometimes used in the evaluation of treatments in terminally ill patients. For convenience, here we use the term costs to refer to cost or other cumulative measures. Two important scenarios are (i)...

Survival probabilities for HIV infected patients through semi-Markov processes

Giovanni Masala, Giuseppina Cannas, Marco Micocci (2014)

Biometrical Letters

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In this paper we apply a parametric semi-Markov process to model the dynamic evolution of HIV-1 infected patients. The seriousness of the infection is rendered by the CD4+ T-lymphocyte counts. For this purpose we introduce the main features of nonhomogeneous semi-Markov models. After determining the transition probabilities and the waiting time distributions in each state of the disease, we solve the evolution equations of the process in order to estimate the interval transition probabilities....

Contributions of spatial point process modelling to biodiversity theory

Janine Illian, David Burslem (2007)

Journal de la société française de statistique

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Recent decades have seen an unprecedented decline in biodiversity that has led to a growing concern about the consequences of biodiversity loss for the functioning of ecosystems. Key research in plant community ecology seeks to reveal the mechanisms that allow a large number of species to coexist and sustain biodiversity. Processes in plant communities are predominantly local and interactions take place in a spatial context. They thus need to be modelled from the individual plants’ perspective. Several...