Bayesian Analysis of Singly Imputed Synthetic Data under the Multivariate Normal Model

dc.contributor.authorGuin, Abhishek
dc.contributor.authorRoy, Anindya
dc.contributor.authorSinha, Bimal
dc.date.accessioned2024-02-27T18:51:23Z
dc.date.available2024-02-27T18:51:23Z
dc.date.issued2023-11-30
dc.description.abstractWe develop appropriate Bayesian procedures to draw inference about the parameters under a multivariate normal model based on synthetic data. We consider two standard forms of synthetic data, generated under plug in sampling method and posterior predictive sampling method. In addition to point estimates of the mean vector and dispersion matrix, Bayesian credible sets for the mean vector and the generalized variance are also provided under both the scenarios. The analysis in the case when some (partial) features are sensitive and need to be hidden is also briey indicated
dc.description.sponsorshipAbhishek Guin is thankful to the Department of Mathematics and Statistics, UMBC, for providing financial support for his graduate studies. Anindya Roy and Bimal Sinha are thankful to Dr. Tommy Wright, Chief of CSRM/Census Bureau for his support and encouragement. Our sincere thanks are due to Professor Gaurisankar Datta of the University of Georgia for his critical reading of the manuscript and making some excellent suggestions which led to improved presentation.
dc.description.urihttps://www.banglajol.info/index.php/ijss/article/view/70112
dc.format.extent18 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2x15k-j7l0
dc.identifier.citationGuin, Abhishek, Anindya Roy, and Bimal Sinha. “Bayesian Analysis of Singly Imputed Synthetic Data under the Multivariate Normal Model.” International Journal of Statistical Sciences 23, no. 2 (November 30, 2023): 1–18. https://doi.org/10.3329/ijss.v23i2.70112.
dc.identifier.urihttps://doi.org/10.3329/ijss.v23i2.70112
dc.identifier.urihttp://hdl.handle.net/11603/31715
dc.language.isoen_US
dc.publisherBangladesh Academy of Sciences
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.rightsCC BY-NC-SA 4.0 DEED Attribution-NonCommercial-ShareAlike 4.0 International en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/
dc.titleBayesian Analysis of Singly Imputed Synthetic Data under the Multivariate Normal Model
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0001-6361-8295

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