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Who Invented the Delta Method?

Author

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  • Jay M. Ver Hoef

Abstract

Many statisticians and other scientists use what is commonly called the “delta method.” However, few people know who proposed it. The earliest article was found in an obscure journal, and the author is rarely cited for his contribution. This article briefly reviews three modern versions of the delta method and how they are used. Then, some history on the author and the journal of the first known article on the delta method is given. The original author’s specific contribution is reproduced, along with a discussion on possible reasons that it has been overlooked.

Suggested Citation

  • Jay M. Ver Hoef, 2012. "Who Invented the Delta Method?," The American Statistician, Taylor & Francis Journals, vol. 66(2), pages 124-127, May.
    • Handle: RePEc:taf:amstat:v:66:y:2012:i:2:p:124-127
    DOI: 10.1080/00031305.2012.687494
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    Citations

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    Cited by:

    1. Peter L. Boveng & Jay M. Ver Hoef & David E. Withrow & Josh M. London, 2018. "A Bayesian Analysis of Abundance, Trend, and Population Viability for Harbor Seals in Iliamna Lake, Alaska," Risk Analysis, John Wiley & Sons, vol. 38(9), pages 1988-2009, September.
    2. Prakash Gorroochurn, 2020. "Who Invented the Delta Method, Really?," The Mathematical Intelligencer, Springer, vol. 42(3), pages 46-49, September.
    3. Spouge, John L., 2019. "An accurate approximation for the expected site frequency spectrum in a Galton–Watson process under an infinite sites mutation model," Theoretical Population Biology, Elsevier, vol. 127(C), pages 7-15.
    4. Aurélien Saussay & Misato Sato, 2018. "The Impacts of Energy Prices on Industrial Foreign Investment Location: Evidence from Global Firm Level Data," SciencePo Working papers Main hal-03475473, HAL.
    5. Aurélien Saussay, 2019. "Dynamic heterogeneity: rational habits and the heterogeneity of household responses to gasoline prices," SciencePo Working papers Main hal-03632598, HAL.
    6. Li, Yi & Mathur, Maya B & Yoshida, Kazuki, 2022. "R package regmedint: extension of regression-based causal mediation analysis with effect measure modification by covariates," OSF Preprints d4brv, Center for Open Science.
    7. Umed Temurshoev, 2015. "Uncertainty treatment in input-output analysis," Working Papers 2015-004, Universidad Loyola Andalucía, Department of Economics.
    8. Dennis D. Boos & Jason A. Osborne, 2015. "Assessing Variability of Complex Descriptive Statistics in Monte Carlo Studies Using Resampling Methods," International Statistical Review, International Statistical Institute, vol. 83(2), pages 228-238, August.
    9. Robert B. Nielsen & Martin C. Seay, 2014. "Complex Samples and Regression-Based Inference: Considerations for Consumer Researchers," Journal of Consumer Affairs, Wiley Blackwell, vol. 48(3), pages 603-619, October.
    10. Rahma Abid & Célestin C. Kokonendji & Afif Masmoudi, 2020. "Geometric Tweedie regression models for continuous and semicontinuous data with variation phenomenon," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(1), pages 33-58, March.
    11. Ernest Lo & Dan Vatnik & Andrea Benedetti & Robert Bourbeau, 2016. "Variance models of the last age interval and their impact on life expectancy at subnational scales," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 35(15), pages 399-454.
    12. Rudan Wang & Bruce Morley & Javier Ordóñez, 2016. "The Taylor Rule, Wealth Effects and the Exchange Rate," Review of International Economics, Wiley Blackwell, vol. 24(2), pages 282-301, May.
    13. Julian Ramirez-Villegas & Andrew J. Challinor, 2016. "Towards a genotypic adaptation strategy for Indian groundnut cultivation using an ensemble of crop simulations," Climatic Change, Springer, vol. 138(1), pages 223-238, September.
    14. Matt Higham & Jay Ver Hoef & Lisa Madsen & Andy Aderman, 2021. "Adjusting a finite population block kriging estimator for imperfect detection," Environmetrics, John Wiley & Sons, Ltd., vol. 32(1), February.

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