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Environmental and Ecological Statistics

, Volume 19, Issue 3, pp 327–344 | Cite as

Hierarchical Bayesian strategy for modeling correlated compositional data with observed zero counts

  • Carolyn HustonEmail author
  • Carl Schwarz
Article

Abstract

This article proposes a hierarchical multivariate conditional autoregressive model applied to a compositional response vector. We particularly focus on situations when the composition is discrete occurring when observations are based on small multinomial counts. We address drawbacks that exist in current modeling approaches for such data. Our hierarchical model will be demonstrated with data used to help manage a commercial sockeye salmon fishery in the Fraser River of British Columbia.

Keywords

Compositional data MVCAR Hierarchical model Bayesian Sum-to-one Zero counts 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Statistics and Actuarial ScienceSimon Fraser UniversityBurnabyCanada

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