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On Approximation of the Backward Stochastic Differential Equation
Backward SDE approximation of the solution small noise asymptotics
2013/6/14
We consider the problem of approximation of the solution of the backward stochastic differential equation in the Markovian case. We suppose that the trend coefficient of the diffusion process depends ...
On characteristics of an ordinary differential equation and a related inverse problem in epidemiology
Chronic disease Compartment model Incidence Mortality Prevalence Population
2012/9/18
In this work we examine the properties of a recently described ordinary differential equation that relates the age-specific prevalence of achronic dis-ease with the incidence and mortalities of the di...
Estimation of constant and time-varying dynamic parameters of HIV infection in a nonlinear differential equation model
parameter identifiability differential algebra hybrid optimization
2010/10/19
Modeling viral dynamics in HIV/AIDS studies has resulted in a deep understanding of pathogenesis of HIV infection from which novel antiviral treatment guidance and strategies have been derived. Viral ...
Differential equation approximations for Markov chains
Differential equation Markov chains
2009/5/18
We formulate some simple conditions under which a Markov chain may be approximated by the solution to a differential equation, with quantifiable error probabilities. The role of a choice of coordinate...
MIXED EFFECTS IN STOCHASTIC DIFFERENTIAL EQUATION MODELS
maximum likelihood pharmacokinetics population estimates random eects repeated measurements stochastic processes
2009/2/26
A class of statistical models is proposed where random e®ects are incorporated into a
stochastic di®erential equations model, and an expression for the likelihood function
is derived. In gen...