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Global COVID-19 under-reporting: A Tobit model

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  • Kumbhakar, Subal C.
  • Wang, Yulu

Abstract

During the COVID-19 pandemic, the precision in reporting infectious cases and fatalities presents significant challenges, exacerbated by rapid transmission rates and overburdened healthcare infrastructures. Officially reported cases occasionally exhibit zero increments, which is likely to be under-reported. Some models exclude zero values from the sample, creating a sample selectivity problem. In contrast, alternative models substitute zero values with a constant to enable logarithmic transformations. Since both modeling approaches are wrong, in this study, we address this issue by extending the Tobit model to account for both under-reporting and random noise. Analyzing data from 61 countries between January 1, 2020, and November 3, 2020, we explore external factors that explain country-specific under-reporting. Our findings confirm the existence of under-reporting across countries and reveal that cases reported with zero increments actually involve non-zero infectious instances. This novel methodology enriches future under-reporting analyses.

Suggested Citation

  • Kumbhakar, Subal C. & Wang, Yulu, 2024. "Global COVID-19 under-reporting: A Tobit model," Economic Modelling, Elsevier, vol. 141(C).
  • Handle: RePEc:eee:ecmode:v:141:y:2024:i:c:s0264999324002748
    DOI: 10.1016/j.econmod.2024.106917
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    1. Askitas, Nikos & Tatsiramos, Konstantinos & Verheyden, Bertrand, 2020. "Lockdown Strategies, Mobility Patterns and COVID-19," IZA Discussion Papers 13293, Institute of Labor Economics (IZA).
    2. Oleg Badunenko & Daniel J. Henderson, 2024. "Production analysis with asymmetric noise," Journal of Productivity Analysis, Springer, vol. 61(1), pages 1-18, February.
    3. Jose Olmo & Marcos Sanso‐Navarro, 2021. "Modeling the spread of COVID‐19 in New York City," Papers in Regional Science, Wiley Blackwell, vol. 100(5), pages 1209-1229, October.
    4. Luis Orea & Inmaculada C. Álvarez, 2022. "How effective has the Spanish lockdown been to battle COVID‐19? A spatial analysis of the coronavirus propagation across provinces," Health Economics, John Wiley & Sons, Ltd., vol. 31(1), pages 154-173, January.
    5. Kumbhakar, Subal C. & Sun, Kai, 2013. "Derivation of marginal effects of determinants of technical inefficiency," Economics Letters, Elsevier, vol. 120(2), pages 249-253.
    6. Manski, Charles F. & Molinari, Francesca, 2021. "Estimating the COVID-19 infection rate: Anatomy of an inference problem," Journal of Econometrics, Elsevier, vol. 220(1), pages 181-192.
    7. Domenico Depalo, 2021. "True COVID-19 mortality rates from administrative data," Journal of Population Economics, Springer;European Society for Population Economics, vol. 34(1), pages 253-274, January.
    8. Kumbhakar, Subal C & Ghosh, Soumendra & McGuckin, J Thomas, 1991. "A Generalized Production Frontier Approach for Estimating Determinants of Inefficiency in U.S. Dairy Farms," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(3), pages 279-286, July.
    9. Hortaçsu, Ali & Liu, Jiarui & Schwieg, Timothy, 2021. "Estimating the fraction of unreported infections in epidemics with a known epicenter: An application to COVID-19," Journal of Econometrics, Elsevier, vol. 220(1), pages 106-129.
    10. Sean L. Wu & Andrew N. Mertens & Yoshika S. Crider & Anna Nguyen & Nolan N. Pokpongkiat & Stephanie Djajadi & Anmol Seth & Michelle S. Hsiang & John M. Colford & Art Reingold & Benjamin F. Arnold & Al, 2020. "Substantial underestimation of SARS-CoV-2 infection in the United States," Nature Communications, Nature, vol. 11(1), pages 1-10, December.
    11. Daniel L. Millimet & Christopher F. Parmeter, 2022. "COVID‐19 severity: A new approach to quantifying global cases and deaths," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(3), pages 1178-1215, July.
    12. Lien, Gudbrand & Kumbhakar, Subal C. & Alem, Habtamu, 2018. "Endogeneity, heterogeneity, and determinants of inefficiency in Norwegian crop-producing farms," International Journal of Production Economics, Elsevier, vol. 201(C), pages 53-61.
    13. Marc F. Bellemare & Casey J. Wichman, 2020. "Elasticities and the Inverse Hyperbolic Sine Transformation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(1), pages 50-61, February.
    14. Seth Flaxman & Swapnil Mishra & Axel Gandy & H. Juliette T. Unwin & Thomas A. Mellan & Helen Coupland & Charles Whittaker & Harrison Zhu & Tresnia Berah & Jeffrey W. Eaton & Mélodie Monod & Azra C. Gh, 2020. "Estimating the effects of non-pharmaceutical interventions on COVID-19 in Europe," Nature, Nature, vol. 584(7820), pages 257-261, August.
    15. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    16. Inmaculada C. Álvarez & Luis Orea & Alan Wall, 2023. "Estimating the propagation of both reported and undocumented COVID-19 cases in Spain: a panel data frontier approximation of epidemiological models," Journal of Productivity Analysis, Springer, vol. 59(3), pages 259-279, June.
    17. Feng, Qu & Wu, Guiying Laura & Yuan, Mengying & Zhou, Shihao, 2022. "Save lives or save livelihoods? A cross-country analysis of COVID-19 pandemic and economic growth," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 221-256.
    18. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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    More about this item

    Keywords

    COVID-19; Stochastic frontier; Tobit model; Under-reporting;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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