The Estimation Function Approach Smoothing Spline Regression Analysis for Longitudinal Data

被引:0
|
作者
Risnawati [1 ]
Fernandes, Adji Achmad Rinaldo [1 ]
Nurjannah [1 ]
机构
[1] Brawijaya Univ, Fac Math & Nat Sci, Dept Stat, Malang, Indonesia
关键词
nonparametric; longitudinal; smoothing spline; PWLS;
D O I
10.1088/1757-899X/546/5/052064
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
It is given the paired data following a nonparametric regression model for longitudinal data. The regression curve is approached by the smoothing spline function. The smoothing spline is a function that is able to map the data well and has a small error variance. This current study aims to obtained from completing PWLS (Penalized Weighted Least Square) optimaziton. Besides, the GCV method is used to select the smoothing parameter.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Smoothing spline regression estimation based on real and artificial data
    Furer, Dmytro
    Kohler, Michael
    [J]. METRIKA, 2015, 78 (06) : 711 - 746
  • [2] Smoothing spline regression estimation based on real and artificial data
    Dmytro Furer
    Michael Kohler
    [J]. Metrika, 2015, 78 : 711 - 746
  • [3] GEE-Smoothing Spline for Semiparametric Estimation of Longitudinal Binary Data
    Suliadi
    Ibrahim, Noor Akma
    Daud, Isa
    Krishnarajah, Isthrinayagy S.
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2010, 18 (S10): : 82 - 95
  • [4] Comparison of spline estimator at various levels of autocorrelation in smoothing spline non parametric regression for longitudinal data
    Fernandes, Adji Achmad Rinaldo
    Janssen, Paul
    Sa'adah, Umu
    Solimun
    Effendi, Achmad
    Nurjanna
    Amaliana, Luthfatul
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (21) : 5265 - 5285
  • [5] Reproducing Kernel Hilbert Space Approach to Multiresponse Smoothing Spline Regression Function
    Lestari, Budi
    Chamidah, Nur
    Aydin, Dursun
    Yilmaz, Ersin
    [J]. SYMMETRY-BASEL, 2022, 14 (11):
  • [6] Smoothing spline models for stratified longitudinal data
    Brumback, BA
    Rice, JA
    [J]. MINING AND MODELING MASSIVE DATA SETS IN SCIENCE, ENGINEERING, AND BUSINESS WITH A SUBTHEME IN ENVIRONMENTAL STATISTICS, 1997, 29 (01): : 497 - 497
  • [7] Smoothing spline and kernel estimation of a probit function
    Tahsoh, JT
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 68 (04) : 373 - 389
  • [8] Estimation of Covariance Matrix on Bi-Response Longitudinal Data Analysis with Penalized Spline Regression
    Islamiyati, A.
    Fatmawati
    Chamidah, N.
    [J]. 2ND INTERNATIONAL CONFERENCE ON SCIENCE (ICOS), 2018, 979
  • [9] A model-averaging approach for smoothing spline regression
    Xu, Liwen
    Zhou, Jiabin
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (08) : 2438 - 2451
  • [10] Combination Estimation of Smoothing Spline and Fourier Series in Nonparametric Regression
    Mariati, Ni Putu Ayu Mirah
    Budiantara, I. Nyoman
    Ratnasari, Vita
    [J]. JOURNAL OF MATHEMATICS, 2020, 2020