# MIXED ESTIMATORS OF TRUNCATED SPLINE-EPANECHNIKOV KERNEL ON NONPARAMETRIC REGRESSION AND ITS APPLICATIONS

• Sifriyani Sifriyani Statistics Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
• Andrea Tri Rian Dani Statistics Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
• Meirinda Fauziyah Statistics Study Program, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
• Zakiyah Mar’ah Department of Statistics, Faculty of Mathematics and Natural Sciences, State Universiy of Makassar, Indonesia
Keywords: Espanechnikov Kernel, Health Sector, Mixed Estimator, Truncated Spline

### Abstract

Research on innovations in the statistics and statistical computing program systems implemented in the health sector. The development of a mixed estimator model is an innovation of nonparametric regression analysis by combining two approaches in nonparametric regression, namely the truncated spline estimator and the Epanechnikov kernel. The urgency of this study is that there are often cases where there are different data patterns from each predictor variable. In addition, by using only one form of the estimator in estimating a multivariable regression curve, the result is that the estimator obtained will not match the data pattern. The research objective was to find a mixed estimator between the truncated spline and the Epanechnikov kernel and the estimator results were applied to Dengue Hemorrhagic Fever case data. The unit of observation is a province in Indonesia and This study relied on secondary data received from the Central Statistical Agency (BPS) and the Health Office. Based on the analysis results, it was found that the best model of nonparametric regression with a mixed estimator of the truncated spline and Epanechnikov Kernel is a model with 3 knots with a combination of variables. The coefficient of determination (R2) is 98.11%. We can conclude that the mixed estimator tends to follow actual data and represents a nonparametric regression model with a mixed estimator that can predict the number of Dengue Hemorrhagic Fever Cases in Indonesia

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Published
2023-12-19
How to Cite
[1]
S. Sifriyani, A. Dani, M. Fauziyah, and Z. Mar’ah, “MIXED ESTIMATORS OF TRUNCATED SPLINE-EPANECHNIKOV KERNEL ON NONPARAMETRIC REGRESSION AND ITS APPLICATIONS”, BAREKENG: J. Math. & App., vol. 17, no. 4, pp. 2023-2032, Dec. 2023.
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