Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City

The aim of this research is to model and forecast the rainfall in Batu City using multi input transfer function model based on air temperature, humidity, wind speed and cloud. Transfer function model is a multivariate time series model which consists of an output series (Yt) sequence expected to be...

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Main Author: Priska Arindya Purnama
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2017-11-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Subjects:
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4288
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author Priska Arindya Purnama
author_facet Priska Arindya Purnama
author_sort Priska Arindya Purnama
collection DOAJ
description The aim of this research is to model and forecast the rainfall in Batu City using multi input transfer function model based on air temperature, humidity, wind speed and cloud. Transfer function model is a multivariate time series model which consists of an output series (Yt) sequence expected to be effected by an input series (Xt) and other inputs in a group called a noise series (Nt). Multi input transfer function model obtained is (b1,s1,r1) (b2,s2,r2) (b3,s3,r3) (b4,s4,r4)(pn,qn) = (0,0,0) (23,0,0) (1,2,0) (0,0,0) ([5,8],2) and shows that air temperature on t-day affects rainfall on t-day, rainfall on t-day is influenced by air humidity in the previous 23 days, rainfall on t-day is affected by wind speed in the previous day , and rainfall on day t is affected by clouds on day t. The results of rainfall forecasting in Batu City with multi input transfer function model can be said to be accurate, because it produces relatively small RMSE value. The value of RMSE data forecasting training is 7.7921 while forecasting data testing is 4.2184. Multi-input transfer function model is suitable for rainfall in Batu City.
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spelling doaj.art-1b68ab9e27dc4381bba5af93dff4acb42022-12-22T03:26:33ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442017-11-0151293510.18860/ca.v5i1.42883498Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu CityPriska Arindya Purnama0University of BrawijayaThe aim of this research is to model and forecast the rainfall in Batu City using multi input transfer function model based on air temperature, humidity, wind speed and cloud. Transfer function model is a multivariate time series model which consists of an output series (Yt) sequence expected to be effected by an input series (Xt) and other inputs in a group called a noise series (Nt). Multi input transfer function model obtained is (b1,s1,r1) (b2,s2,r2) (b3,s3,r3) (b4,s4,r4)(pn,qn) = (0,0,0) (23,0,0) (1,2,0) (0,0,0) ([5,8],2) and shows that air temperature on t-day affects rainfall on t-day, rainfall on t-day is influenced by air humidity in the previous 23 days, rainfall on t-day is affected by wind speed in the previous day , and rainfall on day t is affected by clouds on day t. The results of rainfall forecasting in Batu City with multi input transfer function model can be said to be accurate, because it produces relatively small RMSE value. The value of RMSE data forecasting training is 7.7921 while forecasting data testing is 4.2184. Multi-input transfer function model is suitable for rainfall in Batu City.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4288sainsstatistik
spellingShingle Priska Arindya Purnama
Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
Cauchy: Jurnal Matematika Murni dan Aplikasi
sains
statistik
title Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
title_full Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
title_fullStr Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
title_full_unstemmed Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
title_short Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City
title_sort modelling of multi input transfer function for rainfall forecasting in batu city
topic sains
statistik
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4288
work_keys_str_mv AT priskaarindyapurnama modellingofmultiinputtransferfunctionforrainfallforecastinginbatucity