Modeling the Hotel Tax Revenue in Central Lombok using Nonparametric Regression

Nurul Fitriyani; Joji Ardian  Pembargi; Ena  Setiawana; Rosanti W. ahidatussolihah

doi:10.20956/j.v19i3.25260

Authors

Nurul Fitriyani University of Mataram
Joji Ardian Pembargi
Ena Setiawana
Rosanti W. ahidatussolihah

DOI:

https://doi.org/10.20956/j.v19i3.25260

Keywords:

bandwidth, curve estimation, hotel tax revenue, kernel functions, nonparametric kernel

Abstract

In Central Lombok Regency, the hotel tax is one of the highest incomes contributing to Regional Original Revenue. A hotel tax is a tax on services provided by the hotel. This research aims to estimate the nonparametric kernel regression curve on hotel tax revenue data in Central Lombok. The method used is nonparametric kernel regression analysis with the seven kernel functions. The results of the analysis with the Generalized Cross Validation (GCV) criteria, the optimal bandwidth values generated by the seven kernel functions have varying values. Although the bandwidth values vary, the resulting estimation results are similar, and the comparison of the Mean Square Error (MSE) values of the seven kernel functions is not significantly different.

References

Chacon J. E., and Duong T., 2018. Multivariate Kernel Smoothing and its Applications, Taylor and Francis Group, New York.

Denis D. J., 2016. Applied Univariate, Bivariate, and Multivariate Statistics. John Wiley and Sons Inc., Canada.

Eubank R. L., 1999. Nonparametric Regression and Spline Smoothing. Marcel Dekker, New York.

Fitriyani, N. and Budiantara, I.N., 2014. Metode Cross Validation dan Generalized Cross Validation dalam Regresi Nonparametrik Spline: Studi Kasus Data Fertilitas di Jawa Timur (translate: CV and GCV Methods in Spline Nonparametric Regression: A Case Study of Fertility Data in East Java). Proceeding of Seminar Nasional Pendidikan Sains, 1089–1095. Universitas Negeri Surabaya.

Hadijati, M., Irwansyah and Fitriyani, N., 2021. Prediction of Daily Rainfall in Dodokan Watershed Based on Statistical Downscaling Model: An Effort to Manage Watershed Ecosystems. Eastern Journal of Agricultural and Biological Sciences (EJABS), Vol. 1, No. 2, 1–7.

Hadijati, M., Irwansyah and Fitriyani, N., 2022. Autoregressive Prewhitening on the Nonparametric Regression Model of Water Discharge in the Jangkok Watershed, Lombok Island. Global Journal of Pure and Applied Mathematics, Vol. 18, No. 1, 307–318.

Hadijati, M., Komalasari, D. and Fitriyani, N., 2016. Statistical Downscaling Model Using Nonparametric Regression to Predict Temperature in Selaparang Lombok. Proceeding of the First International Conference on Science and Technology, 129-132. Universitas Mataram.

Hadijati, M., Komalasari, D. and Fitriyani, N., 2017. Simulation of Monthly Rainfall Data of Dodokan Watersheed Using Nonparametric Statistical Downscaling Model. Proceeding of the Second International Conference on Science and Technology, 213–219. Universitas Mataram.

Hadijati, M., Komalasari, D., and Fitriyani, N., 2016. Statistical Downscaling Regresi Nonparametrik Kernel Untuk Prediksi Curah Hujan Bulanan Stasiun Sembalun (translate: Statistical Downscaling Kernel Nonparametric Regression For Prediction of Monthly Rainfall Sembalun Station). Proceeding of Seminar Nasional Matematika II, 186-196. Universitas Udayana.

Hardle W., 1994. Applied Nonparametric Regression. Humboldt Universität zu Berlin, Berlin.

Hollander M., Wolfe D. A., and Chicken E., 2014. Nonparametric Statistical Methods, Third Edition. John Wiley and Sons Inc., Canada.

Law of The Republic of Indonesia Number 28 of 2009 Concerning of Regional Taxes and Regional Levies. https://jdih.kemenkeu.go.id/fulltext/2009/28tahun2009uu.html [accessed on 9 Oktober 2022].

Mahyuliza, Rahmadana M. F., and Nugrahadi E. W., 2021. Analysis of Factors Affecting Taxpayer Comliance Paying Hotel Tax, Restaurant Tax and Entertainment Tax in Medan City. Budapest International Research and Critics Institute-Journal (BIRCI-Journal), Vol. 4, No. 1, 563-574.

National Council for Special Economy of the Republic of Indonesia, KEK Mandalika, https://kek.go.id/kawasan/KEK-Mandalika [accessed on 3 Oktober 2022].

Pratiwi, D., Mursy, L.A.A., Rizaldi, M., and Fitriyani, F., 2020. Regresi Nonparametrik Kernel Gaussian pada Pemodelan Angka Kelahiran Kasar di Provinsi Nusa Tenggara Barat (translate: Nonparametric Gaussian Kernel Regression in Modeling Crude Birth Rate in West Nusa Tenggara Province). Eigen Mathematics Journal, Vol. 3, No. 2, 100-105.

Regional Revenue Management Agency, Central Lombok, 2021. Unpublished.

Scott D. W., 1992. Multivariate Density Estimation: Theory, Practice, and Visualization. John Wiley and Sons Inc., Canada.

Silverman B. W., 1998. Density Estimation for Statistics and Analysis. Chapman and Hall, London.

Sukarsa I. K. G., and Srinadi I. G. A. M., 2012. Estimator Kernel dalam Model Regresi Nonparametrik (translate: Kernel Estimators in Nonparametric Regression Models), Jurnal Matematika, Vol. 2, No. 1, 19-30.

Zulkarnaen N, Sayuti M., dan Fajariah F., 2022. Konsep Pengembangan Kawasan Ekonomi Khusus (KEK) Mandalika Berorientasi Kesejahteraan Masyarakat Lokal (translate: The Mandalika Special Economic Zone (SEZ) Development Concept Oriented Welfare of Local Communities). Ganec Swara, Vol. 16, No. 1, 1362-1369.