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On Small deviations of Gaussian processes using majorizing measures
small deviations Gaussian processes entropy numbers
2011/2/21
We give two examples of periodic Gaussian processes, having en-tropy numbers of exactly same order but radically different small deviations.Our construction is based on classical Knopp’s result yieldi...
Large deviation properties of weakly interacting processes via weak convergence methods
Large deviation properties weakly interacting processes weak convergence methods
2010/12/14
We study large deviation properties of systems of weakly interacting particles modeled by Itô stochastic differential equations (SDEs).It is known under certain conditions that the corresponding...
Small deviations for a family of smooth Gaussian processes
Small deviations family of smooth Gaussian processes
2010/12/14
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processes. The canonical process from the family has the same scaling properties as standard Brownian motion...
Large deviations for renewal processes
Large Deviations Renewal Process Cumulative Process
2010/12/6
We investigate large deviations for the empirical measure of the forward and backward recurrence time processes associated with a classical renewal process with arbitrary waiting-time distribution. Th...
Error bounds for small jumps of Lévy processes and financial applications
Approximation of small jumps L´ evy processes Skorokhod embedding
2010/12/16
The pricing of exotic options in exponential L´evy models amounts to the computation of expectations of functionals of the whole path of a L´evy process. In many situations, Monte-Carlo me...