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Journal : E-Jurnal Matematika

MODEL TINGKAT KEMISKINAN DI KABUPATEN BANGLI DENGAN PENDEKATAN PARTIAL LEAST SQUARE NI WAYAN EKA SURYA ARTINI; I PUTU EKA NILA KENCANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 6 No 3 (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.i03.p165

Abstract

The purpose of this research is to determine the dominant factors that influence the increment of poverty in 6 villages in Bangli regency which categorized as disadvantaged village in Bali province, namely, Binyan Village, Ulian Village, Langgahan Village, Abuan Village, Mengani Village, and Tembuku Village. The total respondents in this research are 84 poor families which determined through the stratified proportional random sampling method. The research regarding the poverty in disadvantaged village involves 5 latent variables, namely, poverty rate, inability to meet basic needs, the shortage of human resource competencies, inability to meet support needs, and the shortage of access to infrastructure which are each 5 of the latent variable have the reflective indicator. This research is using the variant-based (PLS-SEM) Structural Equation Modeling (SEM) method and calculated through smart PLS software. Based on the output of structural poverty rate equation model resulting from the analysis, it can be concluded that the increment of inability to meet basic needs, the shortage of human resource competencies, and the shortage of access to infrastructure have a significant effect towards the increment of poverty rate in a disadvantage village, meanwhile inability to meet support needs rate has no effect towards poverty rate in the disadvantaged village of Bangli Regency.
PENENTUAN HARGA OPSI BELI TIPE ASIA DENGAN METODE MONTE CARLO-CONTROL VARIATE NI NYOMAN AYU ARTANADI; KOMANG DHARMAWAN; KETUT JAYANEGARA
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.p145

Abstract

Option is a contract between the writer and the holder which entitles the holder to buy or sell an underlying asset at the maturity date for a specified price known as an exercise price. Asian option is a type of financial derivatives which the payoff taking the average value over the time series of the asset price. The aim of the study is to present the Monte Carlo-Control Variate as an extension of Standard Monte Carlo applied on the calculation of the Asian option price. Standard Monte Carlo simulations 10.000.000 generate standard error 0.06 and the option price convergent at Rp.160.00 while Monte Carlo-Control Variate simulations 100.000 generate standard error 0.01 and the option price convergent at Rp.152.00. This shows the Monte Carlo-Control Variate achieve faster option price toward convergent of the Monte Carlo Standar.
KOMPARASI METODE ANFIS DAN FUZZY TIME SERIES KASUS PERAMALAN JUMLAH WISATAWAN AUSTRALIA KE BALI IDA BAGUS KADE PUJA ARIMBAWA K.; KETUT JAYANEGARA; I PUTU EKA NILA KENCANA
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.p033

Abstract

This study compares the accuracy of forecasting using ANFIS and Fuzzy Time Series the number of Australian tourists to Bali. The data used in this study are data on the number of Australia tourists visit to Bali from the period January 2006 through December 2011. ANFIS consists of two stages of learning and testing phases. Least Squares Estimator is used to study the forward direction and Error Back Propagation learning is used in the reverse direction. Forecasting with Fuzzy Time Series is forecast to capture the pattern of previous data is then used to project the data to come. The results of comparison of both methods showed that the ANFIS method has a higher forecasting accuracy than the method of Fuzzy Time Series. Forecasting by using ANFIS method obtained AFER aqual to 9,26% while the prediction using the method of Fuzzy Time Series obtained AFER aqual to 14,02%
ANALISIS KEPUASAN KONSUMEN RESTORAN CEPAT SAJI MENGGUNAKAN METODE PARTIAL LEAST SQUARE (Studi Kasus: Burger King Bali) MADE SANJIWANI; KETUT JAYANEGARA; I PUTU EKA N. KENCANA
E-Jurnal Matematika Vol 4 No 3 (2015)
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.2015.v04.i03.p095

Abstract

The were two aims of this research. First is to get model of the relation between the latent variable quality of service and product quality to customer satisfaction. The second was to determine the influence of service quality on customer satisfaction and the influence of product quality on consumer satisfaction at Burger King Bali. This research implemented Partial Least Square method with 3 second order variables is the service quality, product quality, and customer satisfaction. In this research also used 5 first order variables to explain the variable service quality are tangibles, empathy, reliability, responsiveness, assurance and 6 first order variables to explain the variable quality product are performance, reliability, feature, durability, conformance, and design. Samples used in this research is 100. The results of this research indentify that the service quality and product quality affect customer satisfaction at Burger King.
SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK I GEDE PUTU MIKI SUKADANA; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 9 No 2 (2020)
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.2020.v09.i02.p289

Abstract

Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation. In the nonhomogeneous Cauchy–Euler differential equations, the undetermined coefficient and the parameter variation were the most method that often used to find the particular solution. This paper aimed to show a new solution that was shorter than the previous methods for nonhomogeneous Cauchy–Euler differential equations with the right side was a logarithmic form. The new solution had been proven to produce the same solution as the ordinary solution sought using the undetermined coefficient method.
VARIABEL LATEN SEBAGAI MODERATOR DAN MEDIATOR DALAM HUBUNGAN KAUSAL I KOMANG GEDE ANTARA; I PUTU EKA NILA KENCANA; KETUT JAYANEGARA
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.p056

Abstract

Latent variables are variables that can not be measured directly. In analysis of causal relationship involving three latent variables, one latent variable can be a moderator or mediator variables. Goodness of Fit moderation and mediation model of latent variables is affected by the value of the canonical correlation between moderator/mediator latent variables with the independent latent variables and dependent latent variables. If the value of both canonical correlation is well , so the Goodness of Fit models of mediation is getting better, while the opposite Goodness of Fit models will be better moderation.
ANALISIS DERAJAT KESEHATAN MASYARAKAT PROVINSI BALI DENGAN MENGGUNAKAN METODE GENERALIZED STRUCTURED COMPONENT ANALYSIS (GSCA) PUTU NOPITA PURNAMA NINGSIH; KETUT JAYANEGARA; I PUTU EKA NILA KENCANA
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.p039

Abstract

The aim of this research is to determine the relationship between environmental, behavioral, health services, education, and economic variables to health status in the Province of Bali. These variables are constructs (latents ) that can not be measured directly by observation. If there was a relationship between latent and its indicators, it is recomended to use Structural Equation Modeling (SEM). In this research we used variance-based SEM i.e. Generalized Structured Component Analysis (GSCA). This method not based on many assumptions such as the data does not have a multivariate normal distribution, the sample size does is not necessary large. Moreover, GSCA provides by overall goodness-fit of the model. The result of this research indicates that the environmental, behavioral, economic and educational variable influenced health status, but health service does not significantly affect the health status; economic does not significantly affect the environment; and education does not significantly affect the behavior. The result of the FIT value ?0.450 and the AFIT value 0.429 showed that overall model in this research is not good enough because of both of these values are under 0.50.
PRODUK UNIT LINK UNTUK JOINT LIFE MENGGUNAKAN PENDEKATAN STOKASTIK NI KETUT AYU MURNIASIH; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 11 No 2 (2022)
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.2022.v11.i02.p368

Abstract

The insurance program has developed quite rapidly and the products that are displayed are only very attractive from protection products to protection and investment products known as unit link insurance. In general, unit-linked insurance products are offered with a death benefit for one person or single life. This study discusses unit link insurance with death benefits for two people or living together using profit testing calculations with a stochastic approach. This study aims to calculate the company's expectations of death benefits, profits and profits from unit link insurance for joint life using a stochastic approach. In this study, the ages of the participants of this unit link insurance are 35, 45, and 55. Premium payments of Rp4.200,000.00 are made annually for 5 years and are covered until the age of 75 years. In the research, it is expected that the profit and death benefit using the stochastic approach are as follows: if the insured ages are 35, 45, and 55 years old, the company experiences a profit of Rp9,445,498,66, Rp5,975,926.42, and Rp2, respectively. 197,106.56 and the expected death benefit value is Rp. 33,167.00, Rp. 99,007.00 and Rp. 328.005.00, respectively.
PERHITUNGAN PROFIT TESTING MELALUI PENDEKATAN STOKASTIK PADA ASURANSI UNIT LINK ULFA DIANITA; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 11 No 4 (2022)
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.2022.v11.i04.p387

Abstract

Unit-linked is one of the Insurance Products Associated with Investments. The person who purchase must pay a premium and will get investment return and a death benefits in the event of death during the policy term. So that it is important for companies to calculate cash flow which is in unit link is called profit testing. The purpose of this study is to calculate the profit testing of unit-linked insurance companies through a stochastic approach by considering the calculation of policy value. The calculation of profit testing in this study was carried out through a stochastic approach to the lognormal model. The results of this study are the calculation of profit testing on a policy issued to a life aged 25, 35, 45, and 55 produce a profitable Net Present Value. However, the profits decrease with increasing age of the insured. The results of the calculation also show that the reserve value is can handle higher risk than quantile reserve.
FAKTOR KEPATUHAN MASYARAKAT KOTA DENPASAR PADA PROTOKOL KESEHATAN COVID-19 IA KOMANG MERIANI; I KOMANG GDE SUKARSA; EKA N KENCANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 11 No 4 (2022)
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.2022.v11.i04.p391

Abstract

Coronavirus disease (COVID-19) pandemic makes peoples around the world face many difficulties to do their daily activities in a normal way. To reduce the impacts of this deathly virus as well to suppress its spread, countries in the world, including Indonesia, have made protocols that regulate the activities of their citizens. This study aims to determine the group of factors that influence the compliance of Denpasar residents with the Covid-19 prevention health protocol. Population of this study is Denpasar residents aged 15 to 64 years. Applying proportional random sampling technique, 250 people who lived in four sub-districts in Denpasar were selected as respondents of the study. Questionnaire that has proven the validity of its items are distributed from March to April 2022. To determine group of factors associated with adherence to the implementation of COVID -19 protocol, explanatory factor analysis is utilized to group 24 initial items on questionnaire. The results demonstrate 7 of the 24 items did not have adequate criteria to be included as forming factors. The rests prove 6 factors behind the compliance of COVID-19 protocol, i.e. information seeking, people trust toward the protocol, infected history, caring for self and family health, comfortable and feels safe wearing a mask, and sanctions for protocol violations. These factors extracted the variance of original data around 77 percent.