Böhning D. On the equivalence of one-inflated zero-truncated and zero-truncated one-inflated count data likelihoods.
Biom J 2023;
65:e2100343. [PMID:
35971027 PMCID:
PMC10087693 DOI:
10.1002/bimj.202100343]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 03/07/2022] [Accepted: 07/02/2022] [Indexed: 11/06/2022]
Abstract
One-inflation in zero-truncated count data has recently found considerable attention. There are currently two views in the literature. In the first approach, the untruncated model is considered as one-inflated whereas in the second approach the truncated model is viewed as one-inflated. Here, we show that both models have identical model spaces as well as identical maximum likelihoods. Consequences of population size estimation are illuminated, and the findings are illustrated at hand of two case studies.
Collapse