Univariate Discrete Distributions

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


This chapter and the next enumerates over 70 univariate discrete and continuous distributions as VGLMs/VGAMs which are currently implemented in VGAM. Other variants, such as positive (zero-truncated), zero-inflated and zero-altered models, are described in a later chapter. A section is devoted to negative binomial regression, and it is shown that the VGLM/VGAM framework allows quite a number of variants to be naturally fitted.


Variance Function Negative Binomial Distribution Discrete Distribution Family Function Probability Mass Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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