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Kajian Metode Simulasi Monte Carlo Br Manik, Mawar Bonita; Nasution, Putri Khairiah; Suyanto, Suyanto; Yanti, Maulida
Journal of Mathematics, Computations and Statistics Vol. 7 No. 2 (2024): Volume 07 Nomor 02 (Oktober 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i2.2994

Abstract

The Monte Carlo Simulation Method is one of the forecasting methods that uses random numbers, specifically through the use of a Linear Congruential Generator and mathematical equations for prediction, forecasting, estimation, and risk analysis. The Monte Carlo Simulation Method with one iteration has a high level of accuracy, as evidenced by previous research. The more iterations used, the more accurate the forecasting results. Therefore, the author is interested in examining how well the Monte Carlo Simulation Method with N iterations performs in forecasting. The study of the Monte Carlo Simulation Method with N iterations will be conducted on the forecast of the number of visitors to Fort Rotterdam. The aim of this research is to determine the accuracy of the Monte Carlo Simulation Method with N iterations for forecasting the number of visitors to Fort Rotterdam. The MAPE values from 2013 to 2018 using the Monte Carlo Simulation Method with N iterations sequentially are 16%, 13%, 13%, 12%, 1008%, and 31%. The forecasting ability from 2013 to 2016 falls into the good category, the forecasting for 2017 falls into the poor category, and the forecasting for 2018 falls into the fair category.
HUBUNGAN KONSUMSI JAJANAN KARIOGENIK DENGAN KARIES GIGI PADA MURID KELAS IV DAN V SEKOLAH DASAR NEGERI 2 CEMPAKA KOTA BANJARBARU Yanti, Maulida; Salamah, Siti; Said, Fahmi
JURNAL TERAPIS GIGI DAN MULUT Vol. 3 No. 2 (2022): JURNAL TERAPIS GIGI DAN MULUT
Publisher : Poltekkes Kemenkes Banjarmasin

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Elementary school is 2 cempaka one of two elementary schools located suburban Banjarbaru based on and random checks for class I to VI respectively 2 people, who totaled 12 people. 10 of them had dental caries. The purpose of this study was to determine the relationship of cariogenic snack consumtion with dental caries in fourth and fifthgrade student in elementary school 2 Cempaka Banjarbaru City. Based on the results of the study were 32 respondent or 50.8% in the habit of eating snacks carieogenic often, with number of dental caries, 40 respondent or 63.5%, while as many as 31 respondent (49.2 %) in the habit of rarely consumed cariogenic snack with numbers its low caries by 23 respondents or 36,5 %. Significan value (sig) = 0.000 and the value of alpha = 0.005 which sig<alpha (0,000< 0.005), so Ho is rejected and Ha accepted that there is a relationship between the consumption of cariogenic snacks with dental caries in fourth and fifth grade student of SDN 2 Cempaka City Banjarbaru. For dental health workers ought to maximize at puskesmas UKGS activities in order to caries can be prevented and caught early, and perform dental fillings, cavities that process does not continue, constantly improve and provide knowledge on the impac of cariogenic snacks consumed in large quantities, without regard to hygiene and health teeth and mouth and give firmness to the merchants that do not sell food that could damage the health of the teeth aroud the school, so that school snack habit can be reduced
INVESTMENT GOLD DURING THE COVID-19 PANDEMIC WITH LINEAR REGRESSION, NONLINEAR REGRESSION AND ARIMA Tarigan, Enita Dewi; Yanti, Maulida; Hasibuan, Citra Dewi; Siringoringo, Yan Batara Putra; Erwin, Erwin
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6832

Abstract

As a result of the COVID-19 pandemic, many individuals have turned to low-risk investment options. Common choices include gold, stocks, deposits, and foreign currencies, with gold emerging as a particularly popular investment. This study aims to forecast gold prices using linear regression, nonlinear regression, and ARIMA models, with the most accurate model determined by the lowest Mean Absolute Percentage Error (MAPE). Gold price data was sourced from www.kitco.com. The MAPE for the Linear Regression model was 4.362, the Nonlinear Regression model 3.3428, and the Time Series (ARIMA) model 2.727. Consequently, the ARIMA model demonstrated superior accuracy in forecasting gold prices compared to the Linear and Nonlinear Regression models.
Peramalan Harga dan Tren Saham Menggunakan Model ARIMA-GARCH dan Hidden Markov Model Simamora, Dea Melinda; Sitorus, Syahriol; Syahputra, Muhammad Romi; Yanti, Maulida
FARABI: Jurnal Matematika dan Pendidikan Matematika Vol 8 No 1 (2025): FARABI
Publisher : Program Studi Pendidikan Matematika FKIP UNIVA Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47662/farabi.v8i1.866

Abstract

Dalam penelitian ini, model ARIMA-GARCH digunakan untuk meramalkan harga saham dan volatilitas, sedangkan Hidden Markov Model (HMM) digunakan untuk mendeteksi tren tersembunyi berdasarkan hasil peramalan tersebut. Data yang digunakan adalah data historis harga saham harian PT Bukit Asam Tbk periode Oktober 2022 hingga Oktober 2023. Dari model ARIMA-GARCH diperoleh model terbaik untuk meramalkan harga saham pembukaan dan penutupan PT Bukit Asam Tbk adalah ARIMA(0,1,1)-GARCH(1,0) dan ARIMA(1,1,0)-GARCH(1,0) dengan persamaan dan . Hasil peramalan ini akan digunakan untuk mengidentifikasi dan meramalkan tren tersembunyi dalam pergerakan harga saham. Berdasarkan hasil analisis Hidden Markov Model (HMM), seluruh hidden state menunjukkan kondisi bearish yang mengindikasikan bahwa pasar secara keseluruhan berada dalam tren penurunan, meskipun terdapat fluktuasi harian pada harga saham. Kata Kunci : ARIMA-GARCH, Hidden Markov Model, Peramalan, Saham, Tren Pasar.
Pengelompokan Kabupaten/Kota di Sumatera Utara Menggunakan Algoritma Average Linkage dan K-Means Berdasarkan Indikator Pendidikan: Pengelompokan Kabupaten/Kota di Sumatera Utara Menggunakan Algoritma Average Linkage dan K-Means Simanjorang, Susan Patricia; Yanti, Maulida
Emerging Statistics and Data Science Journal Vol. 1 No. 3 (2023): Emerging Statistics and Data Science Journal
Publisher : Statistics Department, Universitas Islam Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20885/esds.vol1.iss.3.art46

Abstract

Pendidikan tidak bisa terlepas dari kehidupan manusia karena merupakan kunci/dasar pengimprovisasian kualitas dalam berbagai sektor/bidang. Gurbernur Sumatera Utara menyatakan bahwa pemerataan pendidikan harus terus dioptimalkan. Pengelompokan (clustering) kabupaten berdasarkan ciri/ karakteristik yang sama akan membantu dalam penentuan daerah prioritas yang harus ditangani untuk pemerataan pendidikan oleh pemerintah Sumatera Utara. Penelitian ini bertujuan untuk menentukan pengelompokan kabupaten di Sumatera Utara berdasarkan indikator pendidikan menggunakan dua algoritma pengklasteran yang sering digunakan yaitu K-Means dan Average Linkage. Data pendidikan yang digunakan terdiri dari tiga variabel yaitu jumlah guru bersertifikasi, jumlah sekolah terakreditasi unggul dan jumlah siswa berprestasi tahun 2022. Nilai rasio simpangan baku untuk K-Means dan Average Linkage masing-masing adalah 0,261 dan 0,196. Berdasarkan nilai rasio simpangan baku, Average Linkage lebih baik dalam mengklasterkan data ini dibandingkan K-Means.
PENENTUAN BILANGAN KROMATIK HARMONIK PADA GRAF HASIL KALI KARTESIAN ANTARA GRAF LINTASAN DENGAN TIGA TITIK DAN GRAF BINTANG DENGAN (N+1) TITIK Feren, Feren; Suwilo, Saib; Mardiningsih, Mardiningsih; Yanti, Maulida
MES: Journal of Mathematics Education and Science Vol 11, No 1 (2025): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v11i1.11405

Abstract

This research discusses the harmonious chromatic number on the Cartesian product of a path graph with three vertices (P_3) and a star graph with n vertices (S_n). Harmonious coloring is a vertex coloring of a graph such that each pair of colors appears on at most one edge. The objective of this research is to develop a harmonious coloring algorithm and also to determine and prove a general formula for the harmonious chromatic number of the graph P_3×S_n. The research method is literature-based with a mathematical approach, start from constructing modified adjacency matrices until testing the coloring algorithm. The proof is conducted through mathematical induction and structural graph analysis. The result shows that the harmonious chromatic number of P_3×S_n for n=1 is 5, for n=2,3 is 7, for n=4 is 8, whereas for n≥5, it is n+3.