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State-independent importance sampling for regularly varying random walks
State-independent regularly random walks
2012/9/14
Efficient simulation of rare events involving sums of heavy-tailed random vari-ables has been an active research area in applied probability in the lastfifteen years.These rare events arise in many ap...
Record Statistics for Multiple Random Walks
Record Statistics Multiple Random Walks Statistical Finance
2012/4/28
We study the statistics of the number of records R_{n,N} for N identical and independent symmetric discrete-time random walks of n steps in one dimension, all starting at the origin at step 0. At each...
Ruin probabilities in tough times - Part 2 - Heavy-traffic approximation for fractionally differentiated random walks in the domain of attraction of a nonGaussian stable distribution
heavy traffic ruin probability fractional random walk FARIMA process Poisson process
2011/3/23
Motivated by applications to insurance mathematics, we prove some heavy-traffic limit theorems for processes which encompass the fractionally differentiated random walk as well as some FARIMA processe...
Dual Quantization for random walks with application to credit derivatives
Quantization Backward Dynamic programming Random Walks
2010/11/2
We propose a new Quantization algorithm for the approximation of inhomogeneous random walks, which are the key terms for the valuation of CDO-tranches in latent factor models. This approach is based o...