Some wavelet filters to estimate non-parametric GAM models with application and simulation.

Section: Research Paper
Published
Jun 25, 2025
Pages
7-18

Abstract

This study shed light on the method of estimating the GAM based on Smoothing splines repetitive graders . The Wavelet Shrinkage method was used as a paving of data when estimating the GAM by using some wavelets as filters in calculating the wavy intermittent transformation, including (Haar Wavelet, Daubecheis Wavelet, Coiflets Wavelet, wavelet Least Asymmetric) with one of the types of threshold cutting which is Soft Threshold Thresholding to obtain modified coefficients for intermittent wavelet transformation with explanatory and response variables and dependence on estimating the WGAM model with a comparison of the results of all methods with some comparative statistical criteria, And that is by employing the simulation method as well as through real data analysis, and for this purpose data was collected from Ibn Sina Teaching Hospital (Al-Wafa Specialist Center for Diabetes and Endocrinology Consultant Short Stature) for Nineveh Governorate - 2019, for cases of short stature, and a program was used R for the purpose of writing some code for the purpose of obtaining the desired results from this research.

References

  1. - Amodio, S. ; Aria, M ; and DAmbrosio, A, (2015), On Concurvity in nonlinear and nonparametric models, STATISTICA, vol. 74, no.1 , pp. 85-98.
  2. - Li,Y. and Ruppert , D. (2008) ,"On the asymptotic of Penalized Splines" , Biometricka , 95,415-436 .
  3. - Rajeev Aggarwal, Jai Karan Singh,and Other , (2011) , "Noise Reducation of Speech Signal Using Wavelet Transform with Modified Universal Threshold " International Journal of Computer Application, Volume 20, No.5 , P14-19.
  4. - Ruppert , D. , Wand , M.P. ,and Carroll,R.J. (2003) , " Semmiparametric Regression" Cambrdge Univeristy Press , New York .
  5. - Zitong , Z . , & Qawik.T , (2016) , "Choosing Wavelet Method , Filter , and Length for Function Brain Network Construction " , Jornal List , Plos one ,V.11(6) .
  6. - Augustin , N. H. H. , Sauleau , E. j A. , & Wood S. N. ,(2012) , " On Quantile Quantile Plots for Generalized Linear Models" , Computational Statisstics & Data Analysis 56 , 2404-2409 .
  7. - B. Mphan Kumar , R. Vidhya Lavanya , (2011) , " Signal Denoising with Soft Threshold By Using Chui-Lian (CL) Multiwavelet " , International Journal of Electronics & Communication Technology IJECT Vol . 2 , Issue 1 , pp 38-42 .
  8. - Buja , A. , Hastie,T.J. and Tibshirani , R.J. ,(1989) , "Linear Smoothing and Addition Models" , Annass of Statistic , Vol.17,PP.453-555 .
  9. - Crowley . P. & Maraum . p. & Mayes , P. , (2006) " How hard is the euro core ? an evaluation of growth cycles using wavelet analysis " , Bank of Finland Research .
  10. - Donoho , L.D , Johnstone , M.l. , (1994) , " Ideal Spatial adaptation by wavelet Shrinkage " Biometrika , 81 , 3 , pp . 425-550 .
  11. - Friedman , J.H.,(1999)," Multivariat Adaptive Regression Spline" , The Annals of Statitics , Vol.19,No.1,pp 1-141.
  12. - Green,O.J. and Silverman, B.W.,(1994) , "Nonparametric Regression and Generalized Linear Models :ARoughness Penalty Approach" , Chapman and Hall , London .
  13. - He , Shui , (2004) , "Generalized Additive Models for Data With Concurvity: Statistical Issus and a novel model Fitting Approach " , School of Public Health Library , University of Pittsburgh .

Identifiers

Download this PDF file

Statistics

How to Cite

abd alsatar, A., بشار, Abd Al-Aziz Al-Talib, B., & الاء. (2025). Some wavelet filters to estimate non-parametric GAM models with application and simulation. IRAQI JOURNAL OF STATISTICAL SCIENCES, 17(2), 7–18. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20758