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Spatial Fay-Herriot models for small area estimation with functional covariates

Journal Article


Abstract


  • © 2014 Elsevier Ltd. The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include functional covariates, such as social-media search loads or remote-sensing images (e.g., in crop-yield surveys). The inclusion of these functional covariates is facilitated through a two-stage dimension-reduction approach that includes a Karhunen-Loève expansion followed by stochastic search variable selection. Additionally, the importance of modeling spatial autocorrelation has recently been recognized in the FH model; our model utilizes the intrinsic conditional autoregressive class of spatial models in addition to functional covariates. We demonstrate the effectiveness of our approach through simulation and analysis of data from the American Community Survey. We use Google Trends searches over time as functional covariates to analyze relative changes in rates of percent household Spanish-speaking in the eastern half of the United States.

Authors


  •   Porter, A (external author)
  •   Holan, Scott H. (external author)
  •   Wikle, Christopher (external author)
  •   Cressie, Noel A.

Publication Date


  • 2014

Citation


  • Porter, A., Holan, S., Wikle, C. & Cressie, N. A. (2014). Spatial Fay-Herriot models for small area estimation with functional covariates. Spatial Statistics, 10 27-42.

Scopus Eid


  • 2-s2.0-84907663393

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/3477

Number Of Pages


  • 15

Start Page


  • 27

End Page


  • 42

Volume


  • 10

Abstract


  • © 2014 Elsevier Ltd. The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include functional covariates, such as social-media search loads or remote-sensing images (e.g., in crop-yield surveys). The inclusion of these functional covariates is facilitated through a two-stage dimension-reduction approach that includes a Karhunen-Loève expansion followed by stochastic search variable selection. Additionally, the importance of modeling spatial autocorrelation has recently been recognized in the FH model; our model utilizes the intrinsic conditional autoregressive class of spatial models in addition to functional covariates. We demonstrate the effectiveness of our approach through simulation and analysis of data from the American Community Survey. We use Google Trends searches over time as functional covariates to analyze relative changes in rates of percent household Spanish-speaking in the eastern half of the United States.

Authors


  •   Porter, A (external author)
  •   Holan, Scott H. (external author)
  •   Wikle, Christopher (external author)
  •   Cressie, Noel A.

Publication Date


  • 2014

Citation


  • Porter, A., Holan, S., Wikle, C. & Cressie, N. A. (2014). Spatial Fay-Herriot models for small area estimation with functional covariates. Spatial Statistics, 10 27-42.

Scopus Eid


  • 2-s2.0-84907663393

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/3477

Number Of Pages


  • 15

Start Page


  • 27

End Page


  • 42

Volume


  • 10