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Empirically Evaluating the Flexibility of the Johnson Family of Distributions: A Crop Insurance Application

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  • Lu, Yue
  • Ramirez, Octavio A.
  • Rejesus, Roderick M.
  • Knight, Thomas O.
  • Sherrick, Bruce J.

Abstract

This article examines the flexibility of the Johnson system of distributions by assessing its performance in terms of modeling crop yields for the purpose of setting actuarially fair crop insurance premiums. Using data from corn farms in Illinois coupled with Monte Carlo simulation procedures, we found that average crop insurance premiums computed on the basis of the Johnson system provide reasonably accurate estimates even when the data are normal or come from a non-normal distribution other than the Johnson system (i.e., a beta). These results suggest that there is potential for using the Johnson system to rate previously uninsured crops that do not have historical insurance performance data upon which to base premium calculations.

Suggested Citation

  • Lu, Yue & Ramirez, Octavio A. & Rejesus, Roderick M. & Knight, Thomas O. & Sherrick, Bruce J., 2008. "Empirically Evaluating the Flexibility of the Johnson Family of Distributions: A Crop Insurance Application," Agricultural and Resource Economics Review, Cambridge University Press, vol. 37(1), pages 79-91, April.
    • Handle: RePEc:cup:agrerw:v:37:y:2008:i:01:p:79-91_00
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    Cited by:

    1. Tack, Jesse, 2013. "A Nested Test for Common Yield Distributions with Applications to U.S. Corn," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 38(01), pages 1-14, April.
    2. Ramirez, Octavio A. & Carpio, Carlos E., 2015. "Are the Federal Crop Insurance Subsidies Equitably Distributed? Evidence from a Monte Carlo Simulation Analysis," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 40(3), pages 1-19, September.
    3. Moharram Ainollahi Ahmadabadi & Mohammad Ghahremanzadeh & Ghader Dashti & Seyed-Ali Hosseini-Yekani, 2025. "Evaluating Producer Welfare Benefits of Whole-Farm Revenue Insurance," Agriculture, MDPI, vol. 15(2), pages 1-20, January.
    4. Ramirez, Octavio A. & Carpio, Carlos E. & Rejesus, Roderick M., 2011. "Can Crop Insurance Premiums Be Reliably Estimated?," Agricultural and Resource Economics Review, Cambridge University Press, vol. 40(1), pages 81-94, April.
    5. Ghahremanzadeh, Mohammad & Mohammadrezaei, Rassul & Dashti, Ghader & Ainollahi, Moharram, . "Designing a whole-farm revenue insurance for agricultural crops in Zanjan province of Iran," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 17(02).

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