Unlike the negative binomial distribution this model is independent of the mean density.
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Note : The negative binomial distribution was originally derived as a limiting case of the gamma-Poisson distribution.
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The shift geometric distribution is discrete compound Poisson distribution since it is a trivial case of negative binomial distribution.
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The probability of finding zero individuals " P " ( 0 ) is estimated with the negative binomial distribution
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The above formula is particularly useful for the negative binomial distribution, so that the RR-NB has variance function
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Suppose we used the negative binomial distribution to model the number of days a certain machine works before it breaks down.
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A Poisson compounded with Log ( " p " )-distributed random variables has a negative binomial distribution.
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The posterior predictive distribution for a single additional observation is a negative binomial distribution, sometimes called a Gamma Poisson distribution.
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According to his analysis, both Poisson distribution and negative binomial distribution provided an adequate fit to results of football games.
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A tool akin to a quantitative power calculation, based on the negative binomial distribution, has been suggested for thematic analysis.
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