# COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data

@article{Zhang2018COMnegativeBD, title={COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data}, author={Huiming Zhang and Kai Tan and Bo Li}, journal={Frontiers of Mathematics in China}, year={2018}, volume={13}, pages={967-998} }

We focus on the COM-type negative binomial distribution with three parameters, which belongs to COM-type (a, b, 0) class distributions and family of equilibrium distributions of arbitrary birth-death process. Besides, we show abundant distributional properties such as overdispersion and underdispersion, log-concavity, log-convexity (infinite divisibility), pseudo compound Poisson, stochastic ordering, and asymptotic approximation. Some characterizations including sum of equicorrelated…

## 8 Citations

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### A multilevel zero-inflated Conway–Maxwell type negative binomial model for analysing clustered count data

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Basic negative binomial models can only capture over-dispersed count responses, because the variance of the distribution is always greater than the mean value. So, they are not the best selection…

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