Open AccessIntegral Estimator with Kernel Approach for Estimating Nonparametric Regression Functions
Author(s) -
Rahmat Hidayat,
. Ma’rufi,
Yuliani Yuliani
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2123/1/012022
Subject(s) - nonparametric regression , estimator , nonparametric statistics , mathematics , function (biology) , kernel regression , regression function , kernel (algebra) , kernel smoother , gaussian function , kernel method , mathematical optimization , regression analysis , kernel density estimation , statistics , gaussian , computer science , artificial intelligence , discrete mathematics , support vector machine , radial basis function kernel , physics , quantum mechanics , evolutionary biology , biology
Derivatives are measurements of how a function change as the input value changes, or in general a derivative shows how one quantity changes due to a change in another quantity. The concept of universal or comprehensive function derivatives is widely used in various scientific fields. For example, in economics, people are interested in studying the condition of the derivative of an objective function as the result of an optimization problem. In this study, nonparametric procedures are used to estimate a function where the form of the function does not lead to a particular function model. Suppose we are given a nonparametric regression model where f is an unknown function. The main problem of regression analysis is to determine the form of estimation f . To determine the estimation of f , one approach that can be used is the integral estimator with the Gaussian Kernel approach. Furthermore, as an application, the Labour Force Participation Rate ( y ) data is used with the predictor variable, namely the Average Length of Schooling ( x ). By using the GCV (Generalized Cross Validation) method, the optimal bandwidth is obtained at h = 80 with a GCV value of 0.243 with an MSE value of 32.1864.