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Titlebook: Analysis and Approximation of Rare Events; Representations and Amarjit Budhiraja,Paul Dupuis Book 2019 Springer Science+Business Media, LL

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Digital Service Delivery in Africapresentations in this setting follows from a straightforward application of the chain rule. The only significant issue is to decide on the ordering used for the underlying “driving noises” when the chain rule is applied, since controls are allowed to depend on the “past,” which is determined by this
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Digital Service Delivery in Africaonal jump-diffusions. We will consider only Laplace principles rather than uniform Laplace principles, since, as was noted in Chap. ., the extension from the nonuniform to the uniform case is straightforward. The first general results on large deviation principles for jump-diffusions of the form con
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Yuan Hao,Laihong Lu,Yuping Zhoustudy the large deviation properties of infinite dimensional small noise stochastic dynamical systems. In the application, the driving noise is given by a Brownian sheet, and so in this chapter we will present a sufficient condition analogous to Condition . (but there will be no Poisson noise in thi
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Dragos Vieru,Simon Bourdeau,Mélissa Bourdeauite dimensional systems described by stochastic differential equations. In this chapter we complete our study of continuous time processes by considering additional problems with features that benefit from a somewhat different use of the representations and/or weak convergence arguments.
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https://doi.org/10.1007/978-3-030-67888-3 .. Two types of events were emphasized: those that are described by process behavior on a bounded time interval (finite-time problems) and those that concern properties of the process over unbounded time horizons (e.g., exit probability problems).
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Amarjit Budhiraja,Paul DupuisIllustrates the use of these methods using a wide variety of discrete and continuous time models.Timely and important topic with significant developments over the last 15 years.Includes both theory an
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