negative binomial distribution

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negative binomial distribution

A distribution parameterised by a mean and an aggregation parameter that is large when aggregation is small; as it becomes larger, the negative binomial distribution approximates a Poisson distribution. Aggregated distributions are often well described empirically by the negative binomial distribution. For instance, macroparasites are typically aggregated in their host populations, such that most hosts harbour few or no parasites while a few have large parasite burdens.
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The posterior distribution of the number of nonconformities is reduced to the gamma-Poisson distribution.
In this paper, we have assumed that the shape parameter of the gamma-Poisson distribution is known.
Figure 2 gives the OC curves of single sampling plan RGS plan under gamma-Poisson distribution for fixed parameters.
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