arXiv 3 Feb 2024 · Econometrics
arXiv:2402.02272 · PDF · DOI · OpenAlex · Extracted main text
The workhorse model for zero-truncated count data (y = 1, 2, ...) is the zero-truncated negative binomial (ZTNB) model. We find it should seldom be used. Instead, we recommend the one-inflated zero-truncated negative binomial (OIZTNB) model developed here. Zero-truncated count data often contain an excess of 1s, leading to bias and inconsistency in the ZTNB model. The importance of the OIZTNB model is apparent given the obvious presence of one-inflation in four datasets that have traditionally championed the standard ZTNB. We provide estimation, marginal effects, and a suite of accompanying tools in the R package oneinfl, available on CRAN.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Godwin, R. T. and Böhning, D (2017) Estimation of the population size by using the one-inflated positive poisson model self | 0.737 | 3 | 2 | 100% |
| 2 | Godwin, R. T (2017) One-inflation and unobserved heterogeneity in population size estimation self | 0.737 | 3 | 2 | 100% |
| 3 | Johnson, N. L. and Kotz, S (1969) Distributions in Statistics—Discrete Distributions | 0.737 | 3 | 2 | 100% |
| 4 | Hilbe, J. M (2011) Negative binomial regression | 0.644 | 4 | 1 | 100% |
| 5 | Loomis, J (2003) Travel cost demand model based river recreation benefit estimates with on-site and household surveys: Comparative results and a… | 0.644 | 4 | 1 | 100% |
| 6 | Lambert, D (1992) Zero-inflated poisson regression, with an application to defects in manufacturing | 0.644 | 2 | 2 | 100% |
| 7 | Hilbe, J. M (2016) COUNT: Functions, Data and Code for Count Data | 0.585 | 3 | 1 | 100% |
| 8 | R Core Team (2024) R: A Language and Environment for Statistical Computing | 0.405 | 1 | 1 | 100% |
| 9 | Baser, O., Supina, D., Sengupta, N., Wang, L., and Kwong, L (2010) Impact of postoperative venous thromboembolism on medicare recipients undergoing total hip replacement or total knee replacement… | 0.405 | 1 | 1 | 100% |
| 10 | Carson, R. T., Hanemann, W. M., and Wegge, T. C (2009) A nested logit model of recreational fishing demand in alaska | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 22 scored citations.