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Monte Carlo Splitting Importance Sampling
Monte Carlo Methods and Applications, 1995The author approaches the Monte Carlo method to get an estimate of the functional \(F\) for a Fredholm-type integral equation of the second kind: \[ F = \int \psi (x) h(x) dx \] where \[ \psi (x) = \int k(x',x) \psi (x') dx + f(x). \] This interesting article presents a general method for combining the splitting random walk with the importance sampling.
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