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Forcing Function Diagnostics for Nonlinear Dynamics

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  • Giles Hooker

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  • Giles Hooker, 2009. "Forcing Function Diagnostics for Nonlinear Dynamics," Biometrics, The International Biometric Society, vol. 65(3), pages 928-936, September.
    • Handle: RePEc:bla:biomet:v:65:y:2009:i:3:p:928-936
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2008.01172.x
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    References listed on IDEAS

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    1. Crainiceanu, Ciprian M. & Ruppert, David, 2004. "Likelihood ratio tests for goodness-of-fit of a nonlinear regression model," Journal of Multivariate Analysis, Elsevier, vol. 91(1), pages 35-52, October.
    2. Ciprian Crainiceanu & David Ruppert & Gerda Claeskens & M. P. Wand, 2005. "Exact likelihood ratio tests for penalised splines," Biometrika, Biometrika Trust, vol. 92(1), pages 91-103, March.
    3. Yangxin Huang & Dacheng Liu & Hulin Wu, 2006. "Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System," Biometrics, The International Biometric Society, vol. 62(2), pages 413-423, June.
    4. J. O. Ramsay & G. Hooker & D. Campbell & J. Cao, 2007. "Parameter estimation for differential equations: a generalized smoothing approach," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(5), pages 741-796, November.
    5. Marc C. Kennedy & Anthony O'Hagan, 2001. "Bayesian calibration of computer models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(3), pages 425-464.
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    Cited by:

    1. K. Sham Bhat & David S. Mebane & Priyadarshi Mahapatra & Curtis B. Storlie, 2017. "Upscaling Uncertainty with Dynamic Discrepancy for a Multi-Scale Carbon Capture System," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(520), pages 1453-1467, October.
    2. Hooker, Giles & Ramsay, James O. & Xiao, Luo, 2016. "CollocInfer: Collocation Inference in Differential Equation Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 75(i02).
    3. Liu, Ran & Zhu, Lixing, 2023. "Specification testing for ordinary differential equation models with fixed design and applications to COVID-19 epidemic models," Computational Statistics & Data Analysis, Elsevier, vol. 180(C).

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