Synthetic Data Generation With Incomplete Survey Data Under Informative Sampling

Fuente: arXiv
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Autores principales: Almomani, Ayat, Chang, Won, Hwang, Youngdeok, Kim, Young Min, Kim, Hang J.
Formato: Preprint
Publicado: 2026
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author Almomani, Ayat
Chang, Won
Hwang, Youngdeok
Kim, Young Min
Kim, Hang J.
author_facet Almomani, Ayat
Chang, Won
Hwang, Youngdeok
Kim, Young Min
Kim, Hang J.
contents We propose a Bayesian framework for data synthesis and imputation in complex survey settings with informative sampling. To address variance underestimation in existing Bayesian approaches and to accommodate the missing data encountered in survey data, we introduce an adaptive weighting scheme for parameter estimation. We show that the proposed weighting yields consistent estimators with an asymptotically valid Godambe information matrix. The framework is flexible, accommodating a broad class of Bayesian models and facilitating practical implementation. Simulation studies demonstrate that the proposed method provides accurate uncertainty quantification for both model parameters and synthetic population inference.
format Preprint
id arxiv_https___arxiv_org_abs_2605_31440
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Synthetic Data Generation With Incomplete Survey Data Under Informative Sampling
Almomani, Ayat
Chang, Won
Hwang, Youngdeok
Kim, Young Min
Kim, Hang J.
Methodology
We propose a Bayesian framework for data synthesis and imputation in complex survey settings with informative sampling. To address variance underestimation in existing Bayesian approaches and to accommodate the missing data encountered in survey data, we introduce an adaptive weighting scheme for parameter estimation. We show that the proposed weighting yields consistent estimators with an asymptotically valid Godambe information matrix. The framework is flexible, accommodating a broad class of Bayesian models and facilitating practical implementation. Simulation studies demonstrate that the proposed method provides accurate uncertainty quantification for both model parameters and synthetic population inference.
title Synthetic Data Generation With Incomplete Survey Data Under Informative Sampling
topic Methodology
url https://arxiv.org/abs/2605.31440