Nandy, Preetam; Maathuis, Marloes H.; Richardson, Thomas S. Estimating the effect of joint interventions from observational data in sparse high-dimensional settings. (English) Zbl 1426.62286 Ann. Stat. 45, No. 2, 647-674 (2017). Summary: We consider the estimation of joint causal effects from observational data. In particular, we propose new methods to estimate the effect of multiple simultaneous interventions (e.g., multiple gene knockouts), under the assumption that the observational data come from an unknown linear structural equation model with independent errors. We derive asymptotic variances of our estimators when the underlying causal structure is partly known, as well as high-dimensional consistency when the causal structure is fully unknown and the joint distribution is multivariate Gaussian. We also propose a generalization of our methodology to the class of nonparanormal distributions. We evaluate the estimators in simulation studies and also illustrate them on data from the DREAM4 challenge. Cited in 12 Documents MSC: 62M99 Inference from stochastic processes 62H12 Estimation in multivariate analysis 62P10 Applications of statistics to biology and medical sciences; meta analysis Keywords:causal inference; directed acyclic graph; linear structural equation model; multiple simultaneous interventions; joint causal effects; nonparanormal distribution; high-dimensional data PDFBibTeX XMLCite \textit{P. Nandy} et al., Ann. Stat. 45, No. 2, 647--674 (2017; Zbl 1426.62286) Full Text: DOI arXiv