Background Low Discrepancy Generators True Measures Integrands Stopping Criteria Conclusion References

1. Owen, A. B. On dropping the first Sobol’ point. 2021+.

https://arxiv.org/pdf/2008.08051.pdf.

2. Owen, A. B. Randomly Permuted (t, m, s)-Nets and (t, s)-Sequences. in Monte Carlo and

Quasi-Monte Carlo Methods in Scientific Computing (eds Niederreiter, H. & Shiue, P. J.-S.)

106 (Springer-Verlag, New York, 1995), 299–317.

3. Zhang, K. Adaptive (Multilevel) Quasi-Monte Carlo Methods For Bayesian Inference and

Uncertainty Quantification. PhD thesis (Illinois Institute of Technology, 2021+).

4. Vromans, M. Multilevel Monte Carlo for system reliability. MA thesis (Katholieke Universiteit

Leuven, 2019).

5. H., F. J. & Jiménez Rugama, L. A. Reliable Adaptive Cubature Using Digital Sequences. in

Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014 (eds

Cools, R. & Nuyens, D.) 163. arXiv:1410.8615 [math.NA] (Springer-Verlag, Berlin, 2016),

367–383.

10/10