Consistent second-order discrete kernel smoothing using dispersed Conway-Maxwell-Poisson kernels

@article{Huang2022ConsistentSD,
  title={Consistent second-order discrete kernel smoothing using dispersed Conway-Maxwell-Poisson kernels},
  author={Alan Huang and Lucas Sippel and Thomas Fung},
  journal={Comput. Stat.},
  year={2022},
  volume={37},
  pages={551-563}
}
The histogram estimator of a discrete probability mass function often exhibits undesirable properties related to zero probability estimation both within the observed range of counts and outside into the tails of the distribution. To circumvent this, we formulate a novel second-order discrete kernel smoother based on the recently developed mean-parametrized Conway–Maxwell–Poisson distribution which allows for both overand under-dispersion. Two automated bandwidth selection approaches, one based… 
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