Generalized fiducial inference on the mean of zero-inflated Poisson and Poisson hurdle models

Yixuan Zou, Jan Hannig () and Derek S. Young ()
Additional contact information
Yixuan Zou: Genentech
Jan Hannig: Department of Statistics and Operations Research, University of North Carolina at Chapel Hill
Derek S. Young: Dr. Bing Zhang Department of Statistics, University of Kentucky

Journal of Statistical Distributions and Applications, 2021, vol. 8, issue 1, 1-15

Abstract: 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.

Keywords: Count data; Coverage probability; Data dispersion; Generalized confidence intervals; Zero-truncated poisson (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1186/s40488-021-00117-0 Abstract (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jstada:v:8:y:2021:i:1:d:10.1186_s40488-021-00117-0

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/40488

DOI: 10.1186/s40488-021-00117-0

Access Statistics for this article

Journal of Statistical Distributions and Applications is currently edited by Felix Famoye and Carl Lee

More articles in Journal of Statistical Distributions and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().