## Abstract

Zero-inflated and hurdle models are widely applied to count data possessing excess zeros, where they can simultaneously model the process from how the zeros were generated and potentially help mitigate the effects of overdispersion relative to the assumed count distribution. Which model to use depends on how the zeros are generated: zero-inflated models add an additional probability mass on zero, while hurdle models are two-part models comprised of a degenerate distribution for the zeros and a zero-truncated distribution. Developing confidence intervals for such models is challenging since no closed-form function is available to calculate the mean. In this study, generalized fiducial inference is used to construct confidence intervals for the means of zero-inflated Poisson and Poisson hurdle models. The proposed methods are assessed by an intensive simulation study. An illustrative example demonstrates the inference methods.

Original language | English |
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Article number | 5 |

Journal | Journal of Statistical Distributions and Applications |

Volume | 8 |

Issue number | 1 |

DOIs | |

State | Published - Dec 2021 |

### Bibliographical note

Publisher Copyright:© 2021, The Author(s).

## Keywords

- Count data
- Coverage probability
- Data dispersion
- Generalized confidence intervals
- Zero-truncated poisson

## ASJC Scopus subject areas

- Statistics and Probability
- Computer Science Applications
- Statistics, Probability and Uncertainty