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math.PR2020
Rare Events in Random Geometric Graphs
Christian Hirsch, Sarat B. Moka, Thomas Taimre +1
This work introduces and compares approaches for estimating rare-event probabilities related to the number of edges in the random geometric graph on a Poisson point process. In the…
math.PR2019
Perfect Sampling for Gibbs Point Processes Using Partial Rejection Sampling
Sarat B. Moka, Dirk P. Kroese
We present a perfect sampling algorithm for Gibbs point processes, based on the partial rejection sampling of Guo et al. (2017). Our particular focus is on pairwise interaction pro…