Estimates the likelihood of a vector of egg counts with negative binomial distribution fixed mean and inverse of the dispersion parameter, kappa, frequently denoted alpha can be used in conjunction with an opimizer function to find max likelihood of the dispersion parameter, implemented here in the 'mle_kap' function
value of the inverse of the dispersion parameter, kappa
vector of individual egg or worm burden intensities
estimate of the negative log likelihood
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