PENDUGAAN CURAH HUJAN DENGAN TEKNIK STATISTICAL DOWNSCALING MENGGUNAKAN CLUSTERWISE REGRESSION SEBARAN TWEEDIE

Authors

  • Riza Indriani Rakhmalia Department of Statistics, IPB University, Indonesia
  • Agus M Soleh Department of Statistics, IPB University, Indonesia
  • Bagus Sartono Department of Statistics, IPB University, Indonesia

DOI:

https://doi.org/10.29244/ijsa.v4i3.667

Keywords:

cluster-wise regression, statistical downscaling, tweedie distribution

Abstract

Rainfall prediction is one of the most challenging problems of the last century. Statistical Downscaling Technique is one of the rainfall estimation techniques that are often used. The goal of this paper is to develop the modeling of cluster-wise regression with rainfall data set that has Tweedie distribution. The data used in this paper were the precipitation from Climate Forecast System Reanalysis (CFSR) version 2 as the predictor variables and rainfall from BMKG as the response variable. Data were collected from January 2010 to December 2019 on the Bogor, Citeko, Jatiwangi, and Bandung rain posts. The best result of this study is a Cluster-wise Regression model with 4 clusters and using Tweedie distribution in each rain post. The best model was evaluated by the Root Mean Square Error Prediction. RMSEP value on Bogor rain post is 17.11 (three clusters), Citeko rain post 14.85 (two clusters), Jatiwangi rain post 15.26 (three clusters), and Bandung rain post 14.33 (two clusters). This model was able to make models and clusters well on daily rainfall application.

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References

Cahyani, T. B. N., Wigena, A. H., & Djuraidah, A. (2016). Quantile regression with elastic-net in statistical downscaling to predict extreme rainfall. Global Journal of Pure and Applied Mathematics, 12(4): 3517–3524.

de Carvalho, F. D. A., Saporta, G., & Queiroz, D. N. (2010). A clusterwise center and range regression model for interval-valued data. In Proceedings of COMPSTAT'2010 (pp. 461-468). Physica-Verlag HD.

Dunn, P. K., & Smyth, G. K. (2004). Series evaluation of Tweedie exponential dispersion model densities. Statistics and Computing, 15: 267–280.

Hadiana, R., Soleh, A. M., & Sartono, B. (2020). Two-Stage Statistical Downscaling Modeling with Multi-Class Random Forest on Rainfall Prediction. Proceedings of the 1st International Conference on Statistics and Analytics. Bogor (ID): Departemen Statistika IPB.

Spath, H. (1979). Algorithm 39: Clusterwise Linear Regression. Computing, 22: 367–373.

Permatasari, S., Djuraidah, A., & Soleh, A. M. (2016). Statistical Downscaling with Gamma Distribution and Elastic Net Regularization. 121–129.

Rahmawati, M., & Darti, I. (2019). Pencadangan Klaim IBNR dengan Pendekatan Distribusi Keluarga Tweedie pada Generalized Linear Model. Journal of Mathematics and Its Applications, 16(1): 11–25.

Soleh, A. M., Wigena, A. H., Djuraidah, A., & Saefuddin, A. (2015). Statistical downscaling to predict monthly rainfall using linear regression with L1 regularization (LASSO). Applied Mathematical Sciences, 9: 5361–5369.

Soleh, A. M., Wigena, A. H., Djuraidah, A., & Saefuddin, A. (2016). Gamma distribution linear modeling with statistical downscaling to predict extreme monthly rainfall in Indramayu. In 2016 12th International Conference on Mathematics, Statistics, and Their Applications (ICMSA) (pp. 134-138). IEEE.

Soleh, A. M. (2015). Pemodelan linier sebaran gamma dan pareto terampat dengan regularisasi L1 pada statistical down scaling untuk pendugaan curah hujan bulanan [Disertasi]. Institut Pertanian Bogor, Bogor (ID).

Syafruddin, R., Soleh, A. M., & Wigena, A. H. (2019). Clusterwise Regression Model Development with Gamma Distribution. In Proceedings of the 1st International Conference on Statistics and Analytics. Bogor (ID): Departemen Statistika IPB.

Zaikarina, H. (2016). Regresi kuantil lasso dan gulud dengan validasi silang untuk prediksi curah hujan ekstrim (Thesis). Bogor (UI): IPB University.

Zou, H., & Hastie, T. (2005). Regression Shrinkage and Selection via the Elastic Net, with Applications to Microarrays. Journal of the Royal Statistical Society: Series B, 67(2).

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Published

2020-12-20

How to Cite

Rakhmalia, R. I., Soleh, A. M., & Sartono, B. (2020). PENDUGAAN CURAH HUJAN DENGAN TEKNIK STATISTICAL DOWNSCALING MENGGUNAKAN CLUSTERWISE REGRESSION SEBARAN TWEEDIE. Indonesian Journal of Statistics and Its Applications, 4(3), 473–483. https://doi.org/10.29244/ijsa.v4i3.667

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