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3 Jun 2024: mfB , Z. mB )) for some B {1,. , p} if the following conditions are satisfied:. ... Almost exact inference. Consider any sharp null hypothesis H0 : Y (x) = Y (0) βx for some β.

3 Jun 2024: 3/20. Some existing sensitivity models. Generally, we need to specify how unconfoundedness is violated. ... B. Shimkin, and E. L. Wynder.Smoking and lung cancer: recent evidence and a discussion of some questions.

3 Jun 2024: 9/17. Some theoretical guarantees. TheoremWhen n,p , if the factor analysis estimates5 of Γ and Σ areuniformly consistent, the robust loss function ρ is “nice”, we have for afixed j,. ... 8Barber, B. M., Huang, X., & Odean, T. (2016). “Which

3 Jun 2024: Berkson, J. (1958). Smoking and lung cancer: Some observations on two recent reports. ... 1959).Smoking and lung cancer: Recent evidence and a discussion of some questions.

3 Jun 2024: Part 1. Part 2. References. 10/42. Some notations. Data: (zsi , xsi , y. ... Identifiable estimand βb βb βbLATE βabLATE. Table : Summary of some identification results and assumptions.

3 Jun 2024: besides,. =cov(Y, g(Z)). cov(A, g(Z)). After some simple plug-ins, we can get the influence function shown in (b). ... Now instead of talking about some members of G slipping into the distribution, it’s as if we have toomany of individual x in the

3 Jun 2024: For the i-th unit, observed some covariates Xi prior to treatment assignment. • ... relying on specific statistical models (“all models are wrong, but some are useful”).