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

  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},
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… 

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