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Multidimensional Spline Interpolation: Theory and Applications

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  • Christian Habermann
  • Fabian Kindermann

Abstract

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  • Christian Habermann & Fabian Kindermann, 2007. "Multidimensional Spline Interpolation: Theory and Applications," Computational Economics, Springer;Society for Computational Economics, vol. 30(2), pages 153-169, September.
  • Handle: RePEc:kap:compec:v:30:y:2007:i:2:p:153-169
    DOI: 10.1007/s10614-007-9092-4
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    References listed on IDEAS

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    1. Burkhard Heer & Alfred Maußner, 2024. "Dynamic General Equilibrium Modeling," Springer Texts in Business and Economics, Springer, edition 3, number 978-3-031-51681-8, September.
    2. Hans Fehr & Christian Habermann, 2008. "Risk Sharing and Efficiency Implications of Progressive Pension Arrangements," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(2), pages 419-443, June.
    3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    4. Shinichi Nishiyama & Kent Smetters, 2005. "Consumption Taxes and Economic Efficiency with Idiosyncratic Wage Shocks," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 1088-1115, October.
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    Cited by:

    1. Fabian Kindermann, 2012. "Welfare Effects of Privatizing Public Education When Human Capital Investments Are Risky," Journal of Human Capital, University of Chicago Press, vol. 6(2), pages 87-123.
    2. Kallweit, Manuel & Fehr, Hans & Kindermann, Fabian, 2011. "Should pensions be progressive? Yes, at least in Germany!," VfS Annual Conference 2011 (Frankfurt, Main): The Order of the World Economy - Lessons from the Crisis 48708, Verein für Socialpolitik / German Economic Association.
    3. Ralf Sabiwalsky, 2008. "Nonlinear Modeling of Target Leverage with Latent Determinant Variables – New Evidence on the Trade-off Theory," SFB 649 Discussion Papers SFB649DP2008-062, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    4. Yukun Du & Yitao Cai & Xiao Jin & Hongxia Wang & Yao Li & Min Lu, 2023. "ASIDS: A Robust Data Synthesis Method for Generating Optimal Synthetic Samples," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    5. Xian, Hui & Colson, Gregory & Karali, Berna & Wetzstein, Michael, 2017. "Do nonrenewable-energy prices affect renewable-energy volatility? The case of wood pellets," Journal of Forest Economics, Elsevier, vol. 28(C), pages 42-48.
    6. Qiu, Cheng & Colson, Gregory & Escalante, Cesar & Wetzstein, Michael, 2012. "Considering macroeconomic indicators in the food before fuel nexus," Energy Economics, Elsevier, vol. 34(6), pages 2021-2028.
    7. Uli KLEINWECHTER, 2010. "A Utility Function Based Approach Towards the Modeling of Migration in Village Equilibrium Models," EcoMod2010 259600092, EcoMod.
    8. Sabiwalsky, Ralf, 2010. "Nonlinear modelling of target leverage with latent determinant variables -- new evidence on the trade-off theory," Review of Financial Economics, Elsevier, vol. 19(4), pages 137-150, October.
    9. Hyunju Lee, 2018. "Gross Capital Flows and International Diversification," 2018 Meeting Papers 51, Society for Economic Dynamics.
    10. Stephen P. Ryan & Mar Reguant & Meredith Fowlie, 2011. "Pollution Permits and the Evolution of Market Structure," 2011 Meeting Papers 1440, Society for Economic Dynamics.
    11. Almuth Scholl & Liang Tong, 2020. "Sovereign Default, Taxation, and the Underground Economy," Working Paper Series of the Department of Economics, University of Konstanz 2020-02, Department of Economics, University of Konstanz.
    12. Yoo, Minji & Kim, Taejin & Yoon, Joung Taek & Kim, Yunhan & Kim, Sooho & Youn, Byeng D., 2020. "A resilience measure formulation that considers sensor faults," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    13. Hans Fehr & Christian Habermann & Fabian Kindermann, 2008. "Social Security with Rational and Hyperbolic Consumers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 884-903, October.
    14. Hans Fehr & Fabian Kindermann, 2012. "Optimal Taxation with Current and Future Cohorts," CESifo Working Paper Series 3973, CESifo.
    15. Petchrompo, Sanyapong & Wannakrairot, Anupong & Parlikad, Ajith Kumar, 2022. "Pruning Pareto optimal solutions for multi-objective portfolio asset management," European Journal of Operational Research, Elsevier, vol. 297(1), pages 203-220.
    16. Kallweit Manuel, 2009. "Rentenreform und Rentenzugangsentscheidung – Eine numerische Gleichgewichtsanalyse / Pension Reform and Endogenous Retirement – a Computable General Equilibrium Analysis," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 229(4), pages 426-449, August.
    17. Prein, Timm, 2019. "Persistent Unemployment, Sovereign Debt Crises, and the Impact of Haircuts," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203654, Verein für Socialpolitik / German Economic Association, revised 2019.
    18. Fink, Fabian & Scholl, Almuth, 2016. "A quantitative model of sovereign debt, bailouts and conditionality," Journal of International Economics, Elsevier, vol. 98(C), pages 176-190.
    19. Fehr, Hans & Kallweit, Manuel & Kindermann, Fabian, 2013. "Should pensions be progressive?," European Economic Review, Elsevier, vol. 63(C), pages 94-116.
    20. Hans Fehr & Christian Habermann, 2008. "Private Retirement Savings in Germany: The Structure of Tax Incentives and Annuitization," CESifo Working Paper Series 2238, CESifo.
    21. Fehr, Hans & Jokisch, Sabine & Kallweit, Manuel & Kindermann, Fabian & Kotlikoff, Laurence J., 2013. "Generational Policy and Aging in Closed and Open Dynamic General Equilibrium Models," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1719-1800, Elsevier.
    22. Raquel Fonseca Benito & Pierre-Carl Michaud & Titus Galama & Arie Kapteyn, 2009. "On the Rise of Health Spending and Longevity," Working Papers WR-722, RAND Corporation.
    23. Ralf Sabiwalsky, 2010. "Nonlinear modelling of target leverage with latent determinant variables — new evidence on the trade‐off theory," Review of Financial Economics, John Wiley & Sons, vol. 19(4), pages 137-150, October.
    24. Peter Schober & Julian Valentin & Dirk Pflüger, 2022. "Solving High-Dimensional Dynamic Portfolio Choice Models with Hierarchical B-Splines on Sparse Grids," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 185-224, January.
    25. Hans Fehr & Christian Habermann & Fabian Kindermann, 2008. "Tax-Favored Retirement Accounts: Are they Efficient in Increasing Savings and Growth?," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(2), pages 171-198, June.

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    More about this item

    Keywords

    Interpolation; Multidimensional cubic splines; C63; C65;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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