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Epsilon-Identifiability of Causal Quantities
arXiv stat.TH0 views
arXiv:2301.12022v2 Announce Type: replace-cross Abstract: Identifying the effects of causes and causes of effects is vital in virtually every scientific field. Often, however, the needed probabilities may not be fully identifiable from the available data sources. This paper shows how approximate identifiability is still possible for several probabilities of causation. We term this epsilon-identifiability and demonstrate its usefulness in cases where the behavior of certain subpopulations can be restricted within sufficiently narrow bounds. In particular, we show how unidentifiable causal effects and counterfactual probabilities can be epsilon-identified when such allowances are made. Often, these allowances are easily measured and reasonably assumed. Finally, epsilon-identifiability is applied to the unit selection problem.
Source:https://arxiv.org/abs/2301.12022PreviousParametric Statistical Inference in the Zone of Moderate Deviation ProbabilitiesNextTemporal difference learning adapts to incomplete coverage: an oracle inequality over subgraphs
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