To cite the kernR package in publications, use:

Moldovan, M. (2026). kernR: Kernel-Based Causal Distributional Testing. R package version 0.10.0.9000. https://github.com/max578/kernR

The backdoor-adjusted HSIC test (bd-HSIC) is from:

Hu, R., Sejdinovic, D. and Evans, R. J. (2024). A kernel test for causal association via noise contrastive backdoor adjustment. Journal of Machine Learning Research, 25(160), 1-56.

The doubly robust distributional tests (DR-DATE, DR-DETT) are from:

Fawkes, J., Hu, R., Evans, R. J. and Sejdinovic, D. (2024). Doubly robust kernel statistics for testing distributional treatment effects. Transactions on Machine Learning Research.

Corresponding BibTeX entries:

  @Manual{,
    title = {{kernR}: Kernel-Based Causal Distributional Testing},
    author = {Max Moldovan},
    year = {2026},
    note = {R package version 0.10.0.9000},
    url = {https://github.com/max578/kernR},
  }

  @Article{,
    title = {A kernel test for causal association via noise contrastive
      backdoor adjustment},
    author = {Robert Hu and Dino Sejdinovic and Robin J. Evans},
    journal = {Journal of Machine Learning Research},
    year = {2024},
    volume = {25},
    number = {160},
    pages = {1--56},
    url = {https://jmlr.org/papers/v25/21-1409.html},
  }

  @Article{,
    title = {Doubly robust kernel statistics for testing distributional
      treatment effects},
    author = {Jake Fawkes and Robert Hu and Robin J. Evans and Dino
      Sejdinovic},
    journal = {Transactions on Machine Learning Research},
    year = {2024},
    url = {https://openreview.net/pdf?id=5g5zFVj33K},
  }