Underdispersion models: Models that are "under the radar"

作者：Sellers Kimberly F^*; Morris Darcy S

来源：Communications in Statistics - Theory and Methods, 2017, 46(24): 12075-12086.

DOI：10.1080/03610926.2017.1291976

• Condensed Poisson
• Conway-Maxwell-Poisson
• Count data
• Double Poisson
• Gamma count
• Generalized Poisson
• Poisson

The Poisson distribution is a benchmark for modeling count data. Its equidispersion constraint, however, does not accurately represent real data. Most real datasets express overdispersion; hence attention in the statistics community focuses on associated issues. More examples are surfacing, however, that display underdispersion, warranting the need to highlight this phenomenon and bring more attention to those models that can better describe such data structures. This work addresses various sources of data underdispersion and surveys several distributions that can model underdispersed data, comparing their performance on applied datasets.

• 出版日期2017