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Finite Population Survey Sampling: An Unapologetic Bayesian Perspective

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  • Sudipto Banerjee

    (University of California Los Angeles)

Abstract

This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical models, including some that yield design-based Horvitz-Thompson estimators, the article proceeds to introduce dependence in finite populations and sets out inferential frameworks for ignorable and nonignorable responses. Multivariate dependencies using graphical models and spatial processes are discussed and some salient features of two recent analyses for spatial finite populations are presented.

Suggested Citation

  • Sudipto Banerjee, 2024. "Finite Population Survey Sampling: An Unapologetic Bayesian Perspective," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(1), pages 95-124, November.
    • Handle: RePEc:spr:sankha:v:86:y:2024:i:1:d:10.1007_s13171-024-00348-8
    DOI: 10.1007/s13171-024-00348-8
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    References listed on IDEAS

    as
    1. Graham Kalton, 2019. "Developments in Survey Research over the Past 60 Years: A Personal Perspective," International Statistical Review, International Statistical Institute, vol. 87(S1), pages 10-30, May.
    2. Little R.J., 2004. "To Model or Not To Model? Competing Modes of Inference for Finite Population Sampling," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 546-556, January.
    3. Gneiting, Tilmann & Raftery, Adrian E., 2007. "Strictly Proper Scoring Rules, Prediction, and Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 359-378, March.
    4. Gong Tang, 2003. "Analysis of multivariate missing data with nonignorable nonresponse," Biometrika, Biometrika Trust, vol. 90(4), pages 747-764, December.
    5. Peter J. Diggle & Raquel Menezes & Ting‐li Su, 2010. "Geostatistical inference under preferential sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 191-232, March.
    6. Malay Ghosh, 2012. "Finite population sampling: a model-design synthesis," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(2), pages 235-242, June.
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    Cited by:

    1. Dipak Dey & Subhashis Ghosal & Tapas Samanta, 2024. "Editorial Article: Remembering D. Basu’s Legacy in Statistics," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(1), pages 1-7, November.

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