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We provide a toolbox to estimate the time delay between the brightness time series of gravitationally lensed quasar images via Bayesian and profile likelihood approaches. The model is based on a state-space representation for irregularly observed time series data generated from a latent continuous-time Ornstein-Uhlenbeck process. Our Bayesian method adopts scientifically motivated hyper-prior distributions and a Metropolis-Hastings within Gibbs sampler, producing posterior samples of the model parameters that include the time delay. A profile likelihood of the time delay is a simple approximation to the marginal posterior distribution of the time delay. Both Bayesian and profile likelihood approaches complement each other, producing almost identical results; the Bayesian way is more principled but the profile likelihood is easier to implement. A new functionality is added in version 1.0.9 for estimating the time delay between doubly-lensed light curves observed in two bands. See also Tak et al. (2017) <doi:10.1214/17-AOAS1027>, Tak et al. (2018) <doi:10.1080/10618600.2017.1415911>, Hu and Tak (2020) <doi:10.48550/arXiv.2005.08049>.
Version: | 1.0.11 |
Depends: | R (≥ 3.5.0) |
Imports: | MASS (≥ 7.3-51.3), mvtnorm (≥ 1.0-11) |
Published: | 2020-05-19 |
DOI: | 10.32614/CRAN.package.timedelay |
Author: | Hyungsuk Tak, Kaisey Mandel, David A. van Dyk, Vinay L. Kashyap, Xiao-Li Meng, Aneta Siemiginowska, and Zhirui Hu |
Maintainer: | Hyungsuk Tak <hyungsuk.tak at gmail.com> |
License: | GPL-2 |
NeedsCompilation: | no |
CRAN checks: | timedelay results |
Reference manual: | timedelay.pdf |
Package source: | timedelay_1.0.11.tar.gz |
Windows binaries: | r-devel: timedelay_1.0.11.zip, r-release: timedelay_1.0.11.zip, r-oldrel: timedelay_1.0.11.zip |
macOS binaries: | r-release (arm64): timedelay_1.0.11.tgz, r-oldrel (arm64): timedelay_1.0.11.tgz, r-release (x86_64): timedelay_1.0.11.tgz, r-oldrel (x86_64): timedelay_1.0.11.tgz |
Old sources: | timedelay archive |
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These binaries (installable software) and packages are in development.
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