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Nonparametric Regression Model for Longitudinal Data with Mixed Truncated Spline and Fourier Series

Author

Listed:
  • Made Ayu Dwi Octavanny
  • I. Nyoman Budiantara
  • Heri Kuswanto
  • Dyah Putri Rahmawati

Abstract

Existing literature in nonparametric regression has established a model that only applies one estimator to all predictors. This study is aimed at developing a mixed truncated spline and Fourier series model in nonparametric regression for longitudinal data. The mixed estimator is obtained by solving the two‐stage estimation, consisting of a penalized weighted least square (PWLS) and weighted least square (WLS) optimization. To demonstrate the performance of the proposed method, simulation and real data are provided. The results of the simulated data and case study show a consistent finding.

Suggested Citation

  • Made Ayu Dwi Octavanny & I. Nyoman Budiantara & Heri Kuswanto & Dyah Putri Rahmawati, 2020. "Nonparametric Regression Model for Longitudinal Data with Mixed Truncated Spline and Fourier Series," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:4710745
    DOI: 10.1155/2020/4710745
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    References listed on IDEAS

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    1. Naisyin Wang, 2003. "Marginal nonparametric kernel regression accounting for within-subject correlation," Biometrika, Biometrika Trust, vol. 90(1), pages 43-52, March.
    2. Cox, Dennis D. & O'Sullivan, Finbarr, 1996. "Penalized Likelihood-type Estimators for Generalized Nonparametric Regression," Journal of Multivariate Analysis, Elsevier, vol. 56(2), pages 185-206, February.
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    Cited by:

    1. Dyah P. Rahmawati & I. N. Budiantara & Dedy D. Prastyo & Made A. D. Octavanny, 2021. "Mixed Spline Smoothing and Kernel Estimator in Biresponse Nonparametric Regression," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    2. Sanusi Fattah & Abd Rahman Razak & Mohammad Amil Yusuf & Adji Achmad Rinaldo Fernandes, 2025. "Econometric Modelling of the Rural Poverty, Unemployment and the Agricultural Sector Using a Truncated Spline Approach with Longitudinal Data," Economies, MDPI, vol. 13(9), pages 1-23, September.

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