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METODE VECTOR AUTOREGRESSIVE (VAR) DALAM PERAMALAN JUMLAH WISATAWAN MANCANEGARA KE BALI TJOK GDE SAHITYAHUTTI RANANGGA; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p198

Abstract

The purposes of this research were to model and to forecast the number of foreign tourists (Australia, China, and Japan) arrival to Bali using vector autoregressive (VAR) method. The estimated of VAR model obtained to forecast the number of foreign tourists to Bali is the sixth order VAR (VAR(6)).We used multivariate least square method to estimate the VAR(6)’s parameters.The mean absolute percentage error (MAPE) in this model were as follows 6.8% in predicting the number of Australian tourists, 15.9% in predicting the number of Chinese tourists, and 9% in predicting the number of Japanese tourists. The prediction of Australian, Chinese, and Japanese tourists arrival to Bali for July 2017 to December 2017 tended to experience up and downs that were not too high compared to the previous months.
PEMODELAN ANGKA KEMATIAN KECELAKAAN LALU LINTAS DI KOTA DENPASAR NI LUH WIWIN YUNIARTI; I GUSTI AYU MADE SRINADI; MADE SUSILAWATI
E-Jurnal Matematika Vol 10 No 2 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2021.v10.i02.p329

Abstract

Denpasar City is one of the most crowded areas on the island of Bali, this is due to the fast population growth rate. This fast population can cause problems, one of the problem is in the transportation sector. The increase in the volume of transportation can cause traffic congestion which can lead to a high number of traffic accidents, this can lead to death due to traffic accidents in Denpasar City. To determine the factors that influence traffic accident mortality, researchers used Poisson regression analysis. Based on data on traffic accidents in Denpasar City in 2018, the deviance value is smaller than the chi square value. Therefore Poisson regression analysis is sufficient to model traffic accident data in Denpasar City. The Poisson regression model obtained from this research is. Based on the Poisson regression model obtained, the independent variable that contributes significantly and has a high effect on the number of people who die in traffic accidents is the driver factor.
PENERAPAN REGRESI BINOMIAL NEGATIF UNTUK MENGATASI OVERDISPERSI PADA REGRESI POISSON PUTU SUSAN PRADAWATI; KOMANG GDE SUKARSA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 2 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i02.p031

Abstract

Poisson regression was used to analyze the count data which Poisson distributed. Poisson regression analysis requires state equidispersion, in which the mean value of the response variable is equal to the value of the variance. However, there are deviations in which the value of the response variable variance is greater than the mean. This is called overdispersion. If overdispersion happens and Poisson Regression analysis is being used, then underestimated standard errors will be obtained. Negative Binomial Regression can handle overdispersion because it contains a dispersion parameter. From the simulation data which experienced overdispersion in the Poisson Regression model it was found that the Negative Binomial Regression was better than the Poisson Regression model.
ESTIMASI NILAI AVERAGE VALUE AT RISK PADA SAHAM PORTOFOLIO DENGAN MENGGUNAKAN METODE ANALISIS KOMPONEN UTAMA NI LUH NIKASARI; KOMANG DHARMAWAN; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 6 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2017.v06.i01.p148

Abstract

There are several methods that can be used to measure the risk of a portfolio of stocks. One of them is Average Value at Risk (AVaR). The purpose of this study is to implement Principal Component Analysis (PCA) to select stocks to be incorporated in the portfolio and also to compare the AVaR of the portfolio when  the stocks selected using PCA and selected using mean-variance method. The data we used are the closing price of the stocks BBCA, BDMN, ICBP, INTP, CPIN, KLBF, GGRM, MNCN, SMCB, and SGRO. The selected stocks using PCA are BBCA, CPIN, INTP and, MNCN with AVaR is 1.0971% for 90% confidence level and for 95% confidence level is 1.1432% whereas by using mean variance method, it is found that BDMN, GGRM, ICBP, and SMCB have to be incorporated in the portfolio with AVaR is 1.3314% for 90% confidence level and 1.4263% for 95% confidence level.
PEMODELAN JUMLAH ANAK PUTUS SEKOLAH DI PROVINSI BALI DENGAN PENDEKATAN SEMI-PARAMETRIC GEOGRAPHICALLY WEIGHTED POISSON REGRESSION GUSTI AYU RATIH ASTARI; I GUSTI AYU MADE SRINADI; MADE SUSILAWATI
E-Jurnal Matematika Vol 2 No 3 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i03.p045

Abstract

Dropout number is one of the important indicators to measure the human progress resources in education sector. This research uses the approaches of Semi-parametric Geographically Weighted Poisson Regression to get the best model and to determine the influencing factors of dropout number for primary education in Bali. The analysis results show that there are no significant differences between the Poisson regression model with GWPR and Semi-parametric GWPR. Factors which significantly influence the dropout number for primary education in Bali are the ratio of students to school, ratio of students to teachers, the number of families with the latest educational fathers is elementary or junior high school, illiteracy rates, and the average number of family members.
PERAMALAN CURAH HUJAN MENGGUNAKAN METODE ANALISIS SPEKTRAL NI PUTU MIRAH SRI WAHYUNI; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 5 No 4 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2016.v05.i04.p139

Abstract

The purpose of this research is the model of forecasting rainfall using spectral analysis method. To obtain complete information on characteristics of time series data we need to examine periodicity of the data. Examining the periodicity of time series data in the frequency domain is called spectral analysis. The results of spectral analysis show that periodogram is clearly dominated by a very large peak at frequency . This frequency corresponds to period of 12 cycle per month. Based on the results of analysis of time series data rainfall is SARIMA (0,1,1)(0,1,1)12 where the model can be written as The result indicates minimum rainfall happen in January and maximum rainfall happen in August.
MEMODELKAN RASIO KETERSEDIAAN BERAS MENGGUNAKAN REGRESI DATA PANEL DINAMIS NI PUTU MEILING UTAMI; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 8 No 3 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i03.p253

Abstract

The purpose of this research is to model and to determine the significant factor(s) that influence the ratio of rice availability at Province of East Java from 2007 to 2017 by applying dynamic panel data analysis. Independent variables of this research are land productivity, harvest area, and total population. The estimation method used are the first-difference GMM and system GMM. The best model to model the ratio of rice availability at Province of East Java is first-difference GMM and the independent variables which significant influence the ratio of rice availability at Province of East Java from 2007 to 2017 are lag ratio of rice availability, land productivity, harvest area, and total population.
PERBANDINGAN REGRESI KOMPONEN UTAMA DAN ROBPCA DALAM MENGATASI MULTIKOLINEARITAS DAN PENCILAN PADA REGRESI LINEAR BERGANDA NI WAYAN YULIANI; I KOMANG GDE SUKARSA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 2 No 4 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i04.p050

Abstract

Multiple linear regression analysis with a lot of independent variable always makes many problems because there is a relationship between two or more independent variables. The independent variables which correlated each other are called multicollinearity. Principal component  analysis which based on variance covariance matrix is very sensitive toward the existence of outlier in the observing data. Therefore in order to overcome the problem of outlier it is needed a method of robust estimator toward outlier. ROBPCA is a robust method for PCA toward the existence of outlier in the data. In order to obtain the robust principal component is needed a combination of Projection Pursuit (PP) with Minimum Covariant Determinant (MCD). The results showed that the ROBPCA method has a bias parameter and Mean Square Error (MSE) parameter lower than Principal Component Regression method. This case shows that the ROBPCA method better cope with the multicollinearity observational data influenced by outlier.
FAKTOR-FAKTOR YANG MEMENGARUHI PDB INDONESIA DENGAN PERSAMAAN SIMULTAN 2SLS NI MADE SRI KUSUMAWARDHANI; I GUSTI AYU MADE SRINADI; MADE SUSILAWATI
E-Jurnal Matematika Volume 1, No 1, Tahun 2012
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2012.v01.i01.p018

Abstract

Economic growth is indicated by an increase in the value of Gross Domestic Product (GDP). The size of GDP is influenced by various factors, including the Household Consumption, Investment, Government Spending, and Net Exports. One of the components that contribute to determine the amount of GDP is investment. According to the concept of macroeconomics, investment is also influenced by the GDP, tax revenue, and Currency. The reciprocal relationship between GDP and the investment is called a simultaneous relationship, therefore this study uses simultaneous equation Two Stage Least Squares (2SLS). 2SLS is one of the statistical methods used to replace the OLS method that can not be used to estimate an equation in a system of simultaneous equations. After analysis, the result shows the variables that influence the investment equation are GDP, tax, and revenue.
ANALISIS PERPIDAHAN PENGGUNAAN MEREK SIMCARD DENGAN PENDEKATAN RANTAI MARKOV NURMA ALIYUWANINGSIH; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
E-Jurnal Matematika Vol 7 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i01.p185

Abstract

The aim of this research is to know the displacement made by consumers of GSM cards and predictions of market share when reaching equilibrium conditions for each of the displacements made by consumers of GSM cards. This research uses Markov chain method. Markov chain method produces probabilistic information that can be used to assist for making decision. In Markov’s analysis, the equilibrium conditions are conditions in which the variables in the system ultimately bring the transition probabilities in stable or unchanged conditions. Data from this research is divided into two categories namely data about brand switching of GSM cards and data about the transfer of GSM cards brand usage. Data brand switching of GSM cards obtained from users who use one GSM cards, while the data transfer use of GSM cards obtained from user more than one GSM cards. The results of this research indicate that GSM card displacement equilibrium conditions was achieved in the 9th period, whereas the results of switching the use of GSM card shows that equilibrium conditions for phone and SMS users is in the 15th period, and equilibrium conditions for internet user is reached in 5th period.
Co-Authors AA Sudharmawan, AA ADE KUSUMA DEWI Agnes Juliet Boking Agnes Juliet Bokings Agung Dwi Cahya Megamahaputra AGUST WIRAS ARDI KUSUMA ANAK AGUNG ISTRI AGUNG CANDRA ISWARI ANNA FITRIANI AYU SANDRA TIARA DEWI Ayuk Dwi Cahyani Chairun Nisa Cokorda Istri Tirta Rusmala Dewi Deddi Prima Putra DERY MAULANA Desak Putu Eka Nilakusmawati DEWA AYU DWI ASTUTI Dewi, Cokorda Istri Tirta Rusmala DOMINGGAS TEO Dyan Ayu Wijayanti EKA ARISTA ANJASARI Eriska May Wulandari EVARISTUS VERIYOGI YALSCHEN LEMBUNAI G. K. GANDHIADI G. K. GANDHIADI GILANG BIMASAKTI ANDHIKA GUSTI AYU PUTU YULIANDARI GUSTI AYU RATIH ASTARI HIRZI FIRDAUSI I GEDE AGUS JIWADIANA I Gede Purna Adi Putra I GUSTI AYU MADE VALENTINA DEWI I Kadek Yudha Pramana Adi I KOMANG GDE SUKARSA I Komang Gede Sukarsa I Made Agus Gelgel Wirasuta I MADE BUDIANTARA PUTRA I MADE PRABA ESHA SUKSEMAWAN I Nyoman Widana I Putu Eka Nila Kencana I Putu Eka Suarsa I PUTU YUDANTA EKA PUTRA I Wayan Sumarjaya I.K.G. Sukarsa IDA AYU MADE SUPARTINI Isabel Divya Georgiana Walewangko K. Jayanegara KADEK NOVIA DWIJAYANTHI KASTIN DWILEN PONG SUMAE Ketut Jayanegara KHOSYI RUKITO Komang Dharmawan LUH KOMANG MARDIANI Luh Putu Ratna Sundari LUH PUTU SAFITRI PRATIWI LUIS RICARDO PANDIANGAN Luky Adrianto M ARRIE KUNILASARI ELYNA Made Asih MADE AYU DWI OCTAVANNY MADE NARYMURTI WIDYASTUTI Made Novita Dewi Made Susilawati MILATUS SHOLIKHA Mirza Rizaldi Sudrajat MULIA YASMAN NADIYA YUVITA RIZKI NATASYA WIDIA PUTRI Ni Kade Hindu Pertiwi NI KADEK ARISKA DEWI Ni Kadek Dhirayani NI KADEK DWI ARISYA AFRILIANTI NI KADEK ENDAH YANITA UTARI NI LUH GEDE SINTA ARYATI NI LUH NIKASARI Ni Luh Putu Suciptawati NI LUH WIWIN YUNIARTI Ni Made Asih Ni Made Audi Kirei Saraswati Ni Made Putri Ja Yanti NI MADE SEKARMINI NI MADE SRI KUSUMAWARDHANI NI NYOMAN UTAMI DEWI NI PUTU DIAN ASTUTIK Ni Putu Linda Laksmiani Ni Putu Manik Maharani NI PUTU MEILING UTAMI NI PUTU MIRAH SRI WAHYUNI Ni Putu Monikha Alvionitha NI PUTU NIA IRFAGUTAMI NI PUTU PREMA DEWANTI NI PUTU RINA ANGGRENI NI WAYAN ARI SUNDARI NI WAYAN ARIS APRILIA A.P NI WAYAN ASRI PRADNYANI Ni Wayan Dewi Anastasya Pratiwi Ni Wayan Merry Nirmala Yani NI WAYAN YULIANI NI WAYAN YUNI CAHYANI NOVIAN ENDI GUNAWAN NUR FAIZA NURMA ALIYUWANINGSIH NYOMAN GDE PRAJNAWIWEKA RATMASA TARAM NYOMAN KRISHNA PRATIWI DANGIN Nyoman Wendri PALUPI PURNAMA SARI PANDE PUTU BUDI KUSUMA Putu Edi Dimas Saputra PUTU SUSAN PRADAWATI Putu Wulan Cahayaningrat Ratna Sari Widiastuti SORAYA SARAH AFIFAH TJOK GDE SAHITYAHUTTI RANANGGA TRI ALIT TRESNA PUTRA Ulfatun Farika Novitasari ULYATIL AENI Wayan Evi Handayani Wijayakusuma, I Gusti Ngurah Lanang WILDAN FATTURAHMAN MUJTABA Yani Arthayanti ZANUAR SEPTYADI