On VGAM Family Functions

  • Thomas W. Yee
Part of the Springer Series in Statistics book series (SSS)


This chapter looks at positive (0-truncated), zero-inflated and zero-altered (hurdle) distributions, with the focus on discrete distributions. Zero-deflated distributions are also mentioned. Specific examples include the zero-inflated Poisson and positive-binomial distributions. Another example concerns closed-population capture–recapture estimation, which is described in relatively more detail as an application of a positive-Bernoulli distribution. Reduced-rank variants of some of the above models are also considered.


Multiple Response Negative Binomial Regression Family Function Model Frame Function Substitute 
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Copyright information

© Thomas Yee 2015

Authors and Affiliations

  • Thomas W. Yee
    • 1
  1. 1.Department of StatisticsUniversity of AucklandAucklandNew Zealand

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