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Estimation of spline function in nonparametric path analysis based on penalized weighted least square (PWLS)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The aim of this research is to estimate the spline in Path Analysis-based on Nonparametric Regression using Penalized Weighted Least Square (PWLS) approach. Approach used is Reproducing Kernel Hilbert Space at sobolev space. Nonparametric path analysis model on the equation y1i=f1.1(x1i)+ϵ1i;y2i=f1.2(x1i)+f2.2(y1i)+ϵ2i; i=1,2,..,n Nonparametric Path Analysis which meet the criteria of minimizing PWLS minfw.kW2m[aw.k,bw.k],k=1,2{ (2n)-1(y-f)TΣ-1(y-f)+k=12w=12λw.kaw.kbw.k [fw.k(m)(xi)]

Original languageEnglish
Title of host publicationInternational Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
EditorsAdem Kilicman, Marjono, Ratno Bagus Edy Wibowo, Moch. Aruman Imron
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416055
DOIs
Publication statusPublished - 5 Dec 2017
EventInternational Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 - Malang, Indonesia
Duration: 2 Aug 2017 → 3 Aug 2017

Publication series

NameAIP Conference Proceedings
Volume1913
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Country/TerritoryIndonesia
CityMalang
Period2/08/17 → 3/08/17

Keywords

  • Nonparametric
  • Path Analysis
  • PWLS
  • Spline

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