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Journal : JMT (Jurnal Matematika dan Terapan)

Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor Reza Anjab Ramadhan; Widyanti Rahayu; Ibnu Hadi
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.3

Abstract

Parameter is a value that describe the characteristics of a population. But the parameter of a real data, the value is unknown. To estimate the value of the parameter, there are several methods, which are maximum likelihood estimation method (MLE) and Bayesian parameter estimation method. In Bayesian method, the prior information is applied to update the current data. The prior is determined based on the information in the data. This article using censored data with exponential distribution, and using the conjugate prior. Followed by squared error loss function (SELF), the estimated value function on the λ parameter. When the function was applied on Stanford heart transplant data, the value of ˆλ = 0.00089, which means the patient’s failure (death) probability is low and the patient’s probability to survive is high.
Penentuan Strategi Bersaing Terbaik pada E-Commerce Menggunakan Metode AHP dan Game Theory Aulia Medangara Hakim; Yudi Mahatma; Widyanti Rahayu
JMT : Jurnal Matematika dan Terapan Vol 6 No 1 (2024): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.6.1.2

Abstract

Based on the iPrice.co.id website, there are five e-commerce sites in Indonesia with the highest number of visitors. This is caused by the competitive strategy implemented by each e-commerce in order to win or maintain competition with consideration of the most attractive strategy for potential customers. The purpose of this study is to determine the best competitive strategy that needs to be implemented by e-commerce using game theory and consumer evaluation of e-commerce and supporting variables using the AHP (Analytical Hierarchy Process) method. The sample of this research is Jakarta citizens who are e-commerce users. The results of the research on the AHP method obtained e-commerce ranking results with the highest priority ranking to the lowest, namely Tokopedia, Shopee, Lazada, Blibli and Bukalapak. The variables that consumers pay attention to when making purchases on e-commerce from the highest priority to the lowest, namely Security, Trust, Free Shipping, Lots of Promos, Price, Product Quality, Payment Methods, Web Appearance, Product Brands and Product Diversity, where the 6 variables with the highest priority are then selected and these variables are used to determine the best competitive strategy using the game theory method. The results from game theory show that for Tokopedia e-commerce it is necessary to use a Product Quality strategy, Flood of Promos, and Trust, for Shopee namely Free Shipping, Lots of Promos and Security, for Lazada namely Product Quality, Free Shipping, Lots of Promos, and Security, for Bukalapak namely Product Quality, Price, Free Shipping, Lots of Promos, Trust, and Security, for Blibli namely Price, Free Shipping, Lots of Promos and Security.
Implementasi Metode ARIMA-GARCH Terhadap Peramalan Konversi Mata Uang Yen ke Rupiah Bintang Sirius; Widyanti Rahayu; Yudi Mahatma
JMT : Jurnal Matematika dan Terapan Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/https://doi.org/10.21009/jmt.5.2.4

Abstract

Buying and selling transactions are always used by humans to meet their needs. One of the transaction tools used is money. Each country has its own currency including Japan, with Yen continues to experience a significant decline throughout April 2022 exceeding 5-10%. Therefore, it is necessary to anticipate the rate of increase/decrease in Yen. After testing and forecasting, it was concluded that the most appropriate model for analyzing the data in this study was the ARIMA(3,1,3) - GARCH (1,1) model. This is because the model can overcome the homogeneity of the data. The conversion of Yen to Rupiah currency from August 2022 to July 2023 can be predicted to have fluctuations, and produce a MAPE value of 19.29%, which indicates that the precision level of the ARIMA(3,1,3) - GARCH(1,1) is good enough to use for the conversion data.