Multivariate Normal Probabilities using Vecchia Approximation
Overview
Under a different representation of the multivariate normal (MVN) probability, we can use the Vecchia approximation to sample the integrand at a linear complexity with respect to n. Additionally, both the SOV algorithm from Genz (92) and the exponential-tilting method from Botev (2017) can be adapted to linear complexity. The reference for the method implemented in this package is Jian Cao and Matthias Katzfuss (2024) "Linear-Cost Vecchia Approximation of Multivariate Normal Probabilities" doi:10.48550/arXiv.2311.09426. Two major references for the development of our method are Alan Genz (1992) "Numerical Computation of Multivariate Normal Probabilities" doi:10.1080/10618600.1992.10477010 and Z. I. Botev (2017) "The Normal Law Under Linear Restrictions: Simulation and Estimation via Minimax Tilting" doi:10.48550/arXiv.1603.04166.
- Add guards to check if n > m. If not, error will be raised.
From NEWS.md in the release
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Dependencies
Installing VeccTMVN adds 20 packages (15 with compiled code, 33 MB of source tarballs). Heaviest: BH 14 MB, fields 3.9 MB, spacefillr 3.1 MB.
Code & Tests
People & History
Package metadata
- First published
- 2024-01-26
- Total releases
- 8 / 2 yrs
- License
- GPL (>= 2) OSI
- Download size
- 39 KB
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