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Model Estimation in Nonlinear Regression

Author

Listed:
  • Engel, J
  • Kneip, A

Abstract

Given data from a sample of noisy curves in a nonlinear parametric regression model we consider nonparametric estimation of the model function and the parameters under certain structural assumptions. An algorithm for a consistent estimator is proposed and examples given.

Suggested Citation

  • Engel, J & Kneip, A, 1995. "Model Estimation in Nonlinear Regression," Papers 9510, Catholique de Louvain - Institut de statistique.
    • Handle: RePEc:fth:louvis:9510
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    Citations

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    Cited by:

    1. Daniel Gervini & Patrick A. Carter, 2014. "Warped functional analysis of variance," Biometrics, The International Biometric Society, vol. 70(3), pages 526-535, September.
    2. Samaddar, Arunava & Jackson, Brooke S. & Helms, Christopher J. & Lazar, Nicole A. & McDowell, Jennifer E. & Park, Cheolwoo, 2022. "A group comparison in fMRI data using a semiparametric model under shape invariance," Computational Statistics & Data Analysis, Elsevier, vol. 167(C).
    3. Cody Carroll & Hans‐Georg Müller & Alois Kneip, 2021. "Cross‐component registration for multivariate functional data, with application to growth curves," Biometrics, The International Biometric Society, vol. 77(3), pages 839-851, September.
    4. Holger Dette & Subhra Sankar Dhar & Weichi Wu, 2021. "Identifying shifts between two regression curves," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(5), pages 855-889, October.
    5. Georg Ch. Pflug & Roger J.-B. Wets, 2013. "Shape-restricted nonparametric regression with overall noisy measurements," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 25(2), pages 323-338, June.
    6. Nikolaos Kampelis & Georgios I. Papayiannis & Dionysia Kolokotsa & Georgios N. Galanis & Daniela Isidori & Cristina Cristalli & Athanasios N. Yannacopoulos, 2020. "An Integrated Energy Simulation Model for Buildings," Energies, MDPI, vol. 13(5), pages 1-23, March.
    7. Schick, Anton, 1999. "Efficient estimation of a shift in nonparametric regression," Statistics & Probability Letters, Elsevier, vol. 41(3), pages 287-301, February.

    More about this item

    Keywords

    STATISTICS; EVALUATION;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

    Statistics

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