Bayesian Methods for Finite Population Sampling

By Glen Meeden, Malay Ghosh. 2021

84 citations recorded by the source corpus.

Bayesian Foundations Notation Sufficiency The Sufficiency and Likelihood Principles A Bayesian Example Posterior Linearity Overview A Noninfromative Bayesian Approach A Binomial Example A Characterization of Admissibility Admissibility of the Sample Mean Set Estimation The Polya Urn The Polya Posterior Simulating the Polya Posterior Some Examples Extensions of the Polya Posterior Prior Information Using an Auxiliary Variable Stratification and Prior Information Choosing between Experiments Nonresponse Some Nonparametric Problems Linear Interpolation Empirical Bayes Estimation Introduction Stepwise Bayes Estimators Estimation of Stratum Means Robust Estimation of Stratum Means Multistage Sampling Auxiliary Information Nested Error Regression Models Hierarchical Bayes Estimation Introduction Stepwise Bayes Estimators Estimation of Stratum Means Auxiliary Information I Auxiliary Information II

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9d8e66c6403c73a8d6a4d5caf25ebb431144efe9

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Citations in the corpus

Inference for the Population Total from Probability-Proportional-to-Size Samples Based on Predictions from a Penalized Spline Nonparametric Model (2003, methodology): “The Bayesian approach (Ericson, 1969; Rubin, 1987; Ghosh and Meeden, 1997) adds a prior for the parameters and bases inference for finite population quantities on the posterior predictive distribution of Y.”
To Model or Not To Model? Competing Modes of Inference for Finite Population Sampling (2004, background): “8 Bayesian survey inference (Ericson 1969, 1988; Basu 1971; Scott 1977; Binder 1982; Rubin 1983, 1987; Ghosh and Meeden 1997) requires the specification of a prior distribution ( ) p Y for the population values.”
Calibrated Bayes, an alternative inferential paradigm for official statistics (2012, background): “Bayesian survey inference (Ericson 1969, 1988; Basu 1971; Scott 1977; Binder 1982; Rubin 1983, 1987; Ghosh and Meeden 1997; Sedreansk 2008; Little 2003, 2004; Fienberg 2011) requires the specification of a prior distribution ( | ) p Y Z for the population values.”