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Negative binomial distribution is the most used distribution to modelmacro-parasite burden in hosts. However reliable maximum likelihood parameterestimation from data is far from trivial. No closed formula is available andnumerical estimation requires sophisticated methods. Using data from theliterature we show that simple alternatives to negative binomial, likezero-inflated geometric or hurdle geometric distributions, produce a good andeven better fit to data than negative binomial distribution. We derived closedsimple formulas for the maximum likelihood parameter estimation whichconstitutes a significant advantage of these distributions over negativebinomial distribution.

Simple models for macro-parasite distributions in hosts