Zeta - Math Journal
Vol 4 No 1 (2018): Mei 2018

Estimator Deret Fourier Dalam Regresi Nonparametrik dengan Pembobot Untuk Perencanaan Penjualan Camilan Khas Madura

Anisatus Sholiha (Universitas Islam Madura)
Kuzairi Kuzairi (Universitas Islam Madura)
M. Fariz Fadillah Madianto (Universitas Airlangga)



Article Info

Publish Date
16 May 2018

Abstract

The purpose of regression analysis is determining the relationship between response variables to predictor variables. To estimate the regression curve there are three approaches, parametric regression, nonparametric regression, and semiparametric regression. In this study, the estimator form of nonparametric regression curve is analyzed by using the Fourier series approach with sine and cosine bases, sine bases, and cosine bases. Based on Weighted Least Square (WLS) optimization, the estimator result can be applied to model the sale planning of Madura typical snacks. Nonparametric regression estimators with the Fourier series approach are weighted with uniform and variance weight. The best model that be obtained in this study for uniform weight, based on cosine and sine basis with GCV value ​​of 1541.015, MSE value of 0.1375912 and determination coefficient value of 0.4728418%. The best model for variance weight is based on cosine and sine basis with a GCV value of 1541.011, MSE value of 0.1375912 and determination coefficient of 0.4728227%.

Copyrights © 2018






Journal Info

Abbrev

zeta

Publisher

Subject

Mathematics

Description

Zeta - Math Journal is a mathematical journal published twice a year by the Mathematics Department, Faculty of Mathematics and Science, Islamic University of Madura. Journal includes research papers, literature studies, analysis, and problem solving in Mathematics (Algebra, Analysis, Statistics, ...