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Generating From the Strauss Process Using Stitching

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Monte Carlo and Quasi-Monte Carlo Methods (MCQMC 2020)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 387))

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Abstract

The Strauss process is a point process with unnormalized density with respect to a Poisson point process of rate \( \lambda \), where each pair of points within a specified distance r of each other contributes a factor \(\gamma \in [0, 1]\) to the density. Basic acceptance-rejection works spectacularly poorly for this problem, which is why several other perfect simulation methods have been developed. These methods, however, also work poorly for reasonably large values of \(\lambda \). Recursive Acceptance Rejection Stitching is a new method that works much faster, allowing the simulation of point processes with values of \(\lambda \) much larger than ever before.

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Correspondence to Mark Huber .

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Huber, M. (2022). Generating From the Strauss Process Using Stitching. In: Keller, A. (eds) Monte Carlo and Quasi-Monte Carlo Methods. MCQMC 2020. Springer Proceedings in Mathematics & Statistics, vol 387. Springer, Cham. https://doi.org/10.1007/978-3-030-98319-2_12

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