Penalized Spline Model-Based Estimation of the Finite Populations Total from Probability-Proportional-to-Size Samples

By H. Zheng, Roderick J. A. Little. 2003

91 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c8b2d5dbdcaaa82f8d31b210cf86e4c1025a8ceb

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Citations in the corpus

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).”
Penalized Spline Nonparametric Mixed Models for Inference About a Finite Population Mean from Two-Stage Samples (2003, unknown): “…for the following linear model relating iy to iπ : iiiiy επβπ += , where iε is assumed to be i.i.d. normally distributed with mean zero and variance .σ2 In Zheng and Little (2003, 2004), we proposed a nonparametric model ( ),σπ,0ind~ε,ε)π( 22kiiiii Nfy += using penalized splines to model mean of…”
Model-assisted estimation for complex surveys using penalised splines (2005, methodology): “Recently, Zheng and Little (2003) have proposed a model-based survey estimator that uses penalized splines to account for the effect of non-ignorable design weights, and have extended it to the case of two-stage sampling in Zheng and Little (2004).”
Worth Weighting? How to Think About and Use Weights in Survey Experiments (2017, background): “Other estimators that rely on regression and other forms ofmodeling are also possible; see Zheng and Little (2003) or, more recently, Si, Pillai, and Gelman (2015).”
Model-Assisted Estimation of Forest Resources With Generalized Additive Models (2007, methodology): “Zheng and Little (2003, 2004, 2005) avoid the so-called “curse of dimensionality” of nonparametric regression by confining the nonparametric part to the relationship with the sampling weight.”
Inference for the Population Total from Probability-Proportional-to-Size Samples Based on Predictions from a Penalized Spline Nonparametric Model (2003, unknown): “Hence, the goal of the current article is to consider variance estimation and inference properties of the estimators compared in Zheng and Little (2003).”