Inference for the Population Total from Probability-Proportional-to-Size Samples Based on Predictions from a Penalized Spline Nonparametric Model

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Balancing Covariates via Propensity Score Weighting (2014, background): “A lively stream of current research aims to recover information from the weights without the inefficiency of the standard weighted analysis (Zheng and Little, 2005); these approaches might be productively applied to propensity-score weighting.”
Penalized Spline Nonparametric Mixed Models for Inference About a Finite Population Mean from Two-Stage Samples (2003, unknown): “Zheng and Little (2004) provided a theoretical justification for the jackknife method for the p-spline modelbased estimator in the case of one-stage designs.”
To Model or Not To Model? Competing Modes of Inference for Finite Population Sampling (2004, unknown): “(For more details and additional simulation results, see Zheng and Little 2003, 2004a.) Generalizations of this approach to two-stage sampling have been considered by Zheng and Little (2004b).”