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Grafted Polynomials As Approximating Functions

Author

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  • Fuller, Wayne A.

Abstract

The use of segments of polynomials to approximate production surfaces and time-series trends is described and illustrated. These segmented curves are restricted to be continuous and have a continuous derivative(s) at the join points.

Suggested Citation

  • Fuller, Wayne A., 1969. "Grafted Polynomials As Approximating Functions," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 13(1), pages 1-12, June.
  • Handle: RePEc:ags:ajaeau:22940
    DOI: 10.22004/ag.econ.22940
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    References listed on IDEAS

    as
    1. Doll, John Philip, 1958. "Evaluation of alternative algebraic forms for production functions," ISU General Staff Papers 195801010800003248, Iowa State University, Department of Economics.
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    Cited by:

    1. Cornell, Laurence D. & Sorenson, Vernon L., 1986. "Implications of Structural Change in U.S. Demand for Meat on U.S. Livestock and Grain Markets," Agricultural Economic Report Series 201355, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    2. Tre, J.-P. & Lowenberg-Deboer, J., 2005. "Ex-ante economic analysis of alternative mulch-based management systems for sustainable plantain production in Southeastern Nigeria," Agricultural Systems, Elsevier, vol. 86(1), pages 52-75, October.
    3. Hall, Harry H., 1998. "Choosing an Empirical Production Function: Theory, Nonnested Hypotheses, Costs of Specifications," Agricultural Economics Research Reports 31977, University of Kentucky, Department of Agricultural Economics.
    4. Liu, Zong-Shin & Devadoss, S. & Meyers, William H., 1986. "Incorporation of Fixed-Flexible Exchange Rates in Econometric Trade Models: A Grafted Polynomial Approach," 1986 Annual Meeting, July 27-30, Reno, Nevada 278484, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Job Nmadu & Ezekiel Yisa & Usman Mohammed & Halima Sallawu & Yebosoko Nmadu & Sokoyami Nmadu, 2022. "Structural Analysis and Forecast of Nigerian Monthly Inflation Movement between 1996 and 2022," RAIS Conference Proceedings 2022-2024 0211, Research Association for Interdisciplinary Studies.
    6. Kevin Fox, 1998. "Non-Parametric Estimation of Technical Progress," Journal of Productivity Analysis, Springer, vol. 10(3), pages 235-250, November.
    7. Langley, Suchada Vichitakul, 1982. "The formation of price expectations: a case study of the soybean market," ISU General Staff Papers 198201010800009358, Iowa State University, Department of Economics.
    8. Hyunju Son & Youyi Fong, 2021. "Fast grid search and bootstrap‐based inference for continuous two‐phase polynomial regression models," Environmetrics, John Wiley & Sons, Ltd., vol. 32(3), May.
    9. Ryland, G.J., 1975. "Forecasting Crop Quality," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 43(02), pages 1-16, June.
    10. Lorraine Ivancic & Kevin J. Fox, 2013. "Understanding Price Variation Across Stores and Supermarket Chains: Some Implications for CPI Aggregation Methods," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 629-647, December.

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