Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera
The purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes th...
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Format: | Article |
Language: | English |
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Universitas Udayana
2016-06-01
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Series: | Jurnal Matematika |
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Online Access: | https://ojs.unud.ac.id/index.php/jmat/article/view/25348 |
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author | Jose Rizal Sigit Nugroho Adi Irwanto , Debora |
author_facet | Jose Rizal Sigit Nugroho Adi Irwanto , Debora |
author_sort | Jose Rizal |
collection | DOAJ |
description | The purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes that occur every month in Sumatra is ARFIMA (4,0.350,3) with a value of RMSE is 0,040??. While the best model for the average magnitude of the many tectonic earthquakes that occur every month in Sumatra is ARFIMA (1,0.310,3) with a value of RMSE is 0.013. Based on the model results obtained forecast frequency earthquake and the average magnitude for the three periods ahead, namely the first period 21 times with an average magnitude is 4,91 SR , the second period will occur 14 times with an average magnitude is 4.94 SR and the third period will occur 20 times with an average magnitude is 4,96 SR. |
first_indexed | 2024-04-13T14:31:16Z |
format | Article |
id | doaj.art-03319798adc64a179f5bba6e77aea474 |
institution | Directory Open Access Journal |
issn | 1693-1394 |
language | English |
last_indexed | 2024-04-13T14:31:16Z |
publishDate | 2016-06-01 |
publisher | Universitas Udayana |
record_format | Article |
series | Jurnal Matematika |
spelling | doaj.art-03319798adc64a179f5bba6e77aea4742022-12-22T02:43:11ZengUniversitas UdayanaJurnal Matematika1693-13942016-06-016111410.24843/JMAT.2016.v06.i01.p6325348Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau SumateraJose Rizal0Sigit Nugroho1Adi Irwanto2, Debora3Program Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Statistika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluProgram Studi Matematika, Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas BengkuluThe purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes that occur every month in Sumatra is ARFIMA (4,0.350,3) with a value of RMSE is 0,040??. While the best model for the average magnitude of the many tectonic earthquakes that occur every month in Sumatra is ARFIMA (1,0.310,3) with a value of RMSE is 0.013. Based on the model results obtained forecast frequency earthquake and the average magnitude for the three periods ahead, namely the first period 21 times with an average magnitude is 4,91 SR , the second period will occur 14 times with an average magnitude is 4.94 SR and the third period will occur 20 times with an average magnitude is 4,96 SR.https://ojs.unud.ac.id/index.php/jmat/article/view/25348EarthquakesTectonicARFIMA modelsForecastingRMSE |
spellingShingle | Jose Rizal Sigit Nugroho Adi Irwanto , Debora Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera Jurnal Matematika Earthquakes Tectonic ARFIMA models Forecasting RMSE |
title | Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera |
title_full | Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera |
title_fullStr | Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera |
title_full_unstemmed | Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera |
title_short | Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera |
title_sort | analisis kejadian gempa bumi tektonik di wilayah pulau sumatera |
topic | Earthquakes Tectonic ARFIMA models Forecasting RMSE |
url | https://ojs.unud.ac.id/index.php/jmat/article/view/25348 |
work_keys_str_mv | AT joserizal analisiskejadiangempabumitektonikdiwilayahpulausumatera AT sigitnugroho analisiskejadiangempabumitektonikdiwilayahpulausumatera AT adiirwanto analisiskejadiangempabumitektonikdiwilayahpulausumatera AT debora analisiskejadiangempabumitektonikdiwilayahpulausumatera |