Error analysis on the generalized negative binomial distribution

Felix Famoye, Oluwakemi Aremu

Research output: Contribution to journalArticlepeer-review

Abstract

The generalized negative binomial distribution characterized by three parameters, has been used to fit data from various fields of study. The distribution can model data for which the variance is larger or smaller than the mean, however, it becomes truncated under certain conditions. This truncation error is investigated via a detailed error analysis that determines the parameter space when the model can be used in place of the truncated generalized negative binomial distribution. The fitting of a generalized negative binomial distribution to a data set of absenteeism among shift-workers in a steel industry is re-analyzed.

Original languageEnglish
Pages (from-to)505-512
Number of pages8
JournalJournal of Modern Applied Statistical Methods
Volume10
Issue number2
DOIs
StatePublished - 2011

Keywords

  • Dispersion
  • Maximum likelihood estimates
  • Truncation error

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