Extreme Analysis of a Random Ordinary Differential Equation

نویسندگان

  • Jingchen Liu
  • Xiang Zhou
چکیده

In this paper, we consider a one dimensional stochastic system described by an ellipticequation. A spatially varying random coefficient is introduced to account for uncertainty orimprecise measurements. We model the logarithm of this coefficient by a Gaussian process andprovide asymptotic approximations of the tail probabilities of the derivative of the solution.

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عنوان ژورنال:
  • J. Applied Probability

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2014