Some results on generalized difference estimation and generalized regression estimation for finite populations

By C. Cassel, C. Särndal, Jan H. Wretman. 1976

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In Statistics and Probability

Citations in the corpus

Approximate residual balancing: debiased inference of average treatment effects in high dimensions (2016, background): “Second we compute weights γi that balance the covariatees at least approximately, and apply these weights to the residuals (Cassel et al., 1976; Robins et al., 1994): μ̂c = Xt · β̂c + ∑ {i:Wi=0} γi ( Y obs i −Xi · β̂c ) .”
Doubly Robust Policy Evaluation and Learning (2011, methodology): “In both cases, the algorithms and estimators described here are substantially more sophisticated.”
More Robust Doubly Robust Off-policy Evaluation (2018, methodology): “, Cassel et al. 1976), brought to contextual bandits by Dudı́k et al. (2011), and to RL by Jiang & Li (2016) and Thomas & Brunskill (2016). The DR estimator for RL is defined as”
Simple rules to guide expert classifications (2020, methodology): “We investigated three approaches to estimating V π—response surface modelling (Hill, 2012), inverse propensity weighting (Rosenbaum and Rubin, 1983b, 1984) and doubly robust estimation (Cassel et al., 1976; Robins et al., 1994; Robins and Rotnitzky, 1995; Kang and Schafer, 2007; Dudı́k et al., 2011)”
Covariate adjustment for two-sample treatment comparisons in randomized clinical trials: A principled yet flexible approach (2008, background): “From (5), all consistent and asymptotically normal estimators for β may be viewed as “augmenting” [17] this estimator by the second term, which incorporates covariates and thereby implements the “adjustment,” in a spirit similar to estimators proposed in the survey sampling literature [18, 19, 20].”
The Augmented Synthetic Control Method (2018, result): “This is also comparable in form to the generalized regression estimator in survey sampling (Cassel et al., 1976; Breidt and Opsomer, 2017), which has been adapted to the causal inference setting by, among others, Athey et al.”
Calibration Estimation in Survey Sampling (2010, unknown): “Cassel et al (1976) considered the diﬀerence estimator for unequal probability samples and suggested the term generalized regression (GREG) estimator when the regression coeﬃcients are estimated.”
A GENERAL DOUBLE ROBUSTNESS RESULT FOR ESTIMATING AVERAGE TREATMENT EFFECTS (2014, background): “However, Kang and Schafer (2007) and Long, Hsu, and Li (2012) noted that this approach to estimation goes back at least as far as Cassel, Särndal, and Wretman (1976).”
Sample-efficient Nonstationary Policy Evaluation for Contextual Bandits (2012, methodology): “Our incorporation of revealed randomness yields a favorable bonus: when the past data is generated by the same (or very similar) policy as the one evaluated, we accept all (or almost all) samples—a property called “idempotent self-evaluation.””
The Generalized Oaxaca-Blinder Estimator (2020, methodology): “The idea of using fitted values in an OLS regression has also appeared before in the survey sampling community, under the name “model calibration estimator” (Wu and Sitter 2001), and a similar idea appears in Chakrabortty and Cai (2018).”