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Nonparametric Bayes modeling with sample survey weights.

Publication ,  Journal Article
Kunihama, T; Herring, AH; Halpern, CT; Dunson, DB
Published in: Statistics & probability letters
June 2016

In population studies, it is standard to sample data via designs in which the population is divided into strata, with the different strata assigned different probabilities of inclusion. Although there have been some proposals for including sample survey weights into Bayesian analyses, existing methods require complex models or ignore the stratified design underlying the survey weights. We propose a simple approach based on modeling the distribution of the selected sample as a mixture, with the mixture weights appropriately adjusted, while accounting for uncertainty in the adjustment. We focus for simplicity on Dirichlet process mixtures but the proposed approach can be applied more broadly. We sketch a simple Markov chain Monte Carlo algorithm for computation, and assess the approach via simulations and an application.

Duke Scholars

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Published In

Statistics & probability letters

DOI

ISSN

0167-7152

Publication Date

June 2016

Volume

113

Start / End Page

41 / 48

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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Kunihama, T., Herring, A. H., Halpern, C. T., & Dunson, D. B. (2016). Nonparametric Bayes modeling with sample survey weights. Statistics & Probability Letters, 113, 41–48. https://doi.org/10.1016/j.spl.2016.02.009
Kunihama, T., A. H. Herring, C. T. Halpern, and D. B. Dunson. “Nonparametric Bayes modeling with sample survey weights.Statistics & Probability Letters 113 (June 2016): 41–48. https://doi.org/10.1016/j.spl.2016.02.009.
Kunihama T, Herring AH, Halpern CT, Dunson DB. Nonparametric Bayes modeling with sample survey weights. Statistics & probability letters. 2016 Jun;113:41–8.
Kunihama, T., et al. “Nonparametric Bayes modeling with sample survey weights.Statistics & Probability Letters, vol. 113, June 2016, pp. 41–48. Epmc, doi:10.1016/j.spl.2016.02.009.
Kunihama T, Herring AH, Halpern CT, Dunson DB. Nonparametric Bayes modeling with sample survey weights. Statistics & probability letters. 2016 Jun;113:41–48.
Journal cover image

Published In

Statistics & probability letters

DOI

ISSN

0167-7152

Publication Date

June 2016

Volume

113

Start / End Page

41 / 48

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics