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

@article{Huang2021ConsistentSD, title={Consistent second-order discrete kernel smoothing using dispersed Conway–Maxwell–Poisson kernels}, author={Alan Huang and Lucas Sippel and Thomas Fung}, journal={Computational Statistics}, year={2021} }

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…

## One Citation

On arbitrarily underdispersed Conway-Maxwell-Poisson distributions

- Mathematics
- 2020

We show that the Conway--Maxwell--Poisson distribution can be arbitrarily underdispersed when parametrized via its mean. More precisely, if the mean $\mu$ is an integer then the limiting distribution…

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