Censored regression and IV models?

Specific Domains Statistics
4

I would also prefer this approach, but note that for IV there are various caveats one should keep in mind. See eg

@article{lopes2014bayesian,
  title={Bayesian instrumental variables: priors and likelihoods},
  author={Lopes, Hedibert F and Polson, Nicholas G},
  journal={Econometric Reviews},
  volume={33},
  number={1-4},
  pages={100--121},
  year={2014},
  publisher={Taylor \& Francis}
}