postTheta

logpostDelta

postX

internal

timedelay-internal

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.

Hyungsuk Tak

timedelay

Time Delay Estimation for Stochastic Time Series of
Gravitationally Lensed Quasars

timedelay-internal function

Internal  — timedelay-internal

Internal 

timedelay-internal: Internal

Description

Arguments

Details