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Jurnal Gaussian

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Published by Universitas Diponegoro

ISSN : - EISSN : 23392541 DOI : -

Core Subject : Education,

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Jurnal Gaussian terbit 4 (empat) kali dalam setahun setiap kali periode wisuda. Jurnal ini memuat tulisan ilmiah tentang hasil-hasil penelitian, kajian ilmiah, analisis dan pemecahan permasalahan yang berkaitan dengan Statistika yang berasal dari skripsi mahasiswa S1 Departemen Statistika FSM UNDIP.

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Articles 693 Documents

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PENERAPAN REGRESI LINIER MULTIVARIAT PADA DISTRIBUSI UJIAN NASIONAL 2014 (Pada Studi Kasus Nilai Ujian Nasional 2014 SMP Negeri 1 Sayung) Vica Nurani; Sudarno Sudarno; Rita Rahmawati
Jurnal Gaussian Vol 4, No 3 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

National Exam is a measurement and assessment activities accession of national competency standards on specific subjects as well as a requirement that a student continue to pursue higher education. If we want to know the relationship between national exam score and semester score using multivariate linear regression analysis. Multivariate linear regression is the linear regression model with more than one response variables Y correlated and one or more predictor variables X. In the multivariate linear regression analysis, model selection is the important thing. This is because the selection of the best models in the multivariate linear regression analysis depends on the number of predictor variables involved in the model. The purpose of this study was to determine the best model in the multivariate linear regression analysis using the criteria of Mean Square Error (MSE). The result showed using MSE criterion obtained the best model with the smallest MSE value for 17424540. The best model obtained consists of six predictor variables and four response variables. The effect from response to predictor is 74,512%. Keywords : National Exam, Multivariate Linear Regression, MSE Criterion, Best Model.National Exam is a measurement and assessment activities accession of national competency standards on specific subjects as well as a requirement that a student continue to pursue higher education. If we want to know the relationship between national exam score and semester score using multivariate linear regression analysis. Multivariate linear regression is the linear regression model with more than one response variables Y correlated and one or more predictor variables X. In the multivariate linear regression analysis, model selection is the important thing. This is because the selection of the best models in the multivariate linear regression analysis depends on the number of predictor variables involved in the model. The purpose of this study was to determine the best model in the multivariate linear regression analysis using the criteria of Mean Square Error (MSE). The result showed using MSE criterion obtained the best model with the smallest MSE value for 17424540. The best model obtained consists of six predictor variables and four response variables. The effect from response to predictor is 74,512%. Keywords : National Exam, Multivariate Linear Regression, MSE Criterion, Best Model.

PEMODELAN REGRESI ZERO-INFLATED NEGATIVE BINOMIAL (ZINB) UNTUK DATA RESPON DISKRIT DENGAN EXCESS ZEROS Bayu Ariawan; Suparti Suparti; Sudarno Sudarno
Jurnal Gaussian Vol 1, No 1 (2012): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Zero-Inflated Negative Binomial (ZINB) regression is one of the methods used in troubleshooting overdispersion due to excessive zero values in the response variable (excess zeros). ZINB regression model was based on the negative binomial distribution resulting from a mixture distribution between Poisson distribution withis value of random variable which gamma distributed. ZINB regression parameter estimation can be performed by using Maximum Likelihood Estimation (MLE) method then is followed by the EM algorithm (Expectation maximization) procedure and Newton Rhapson. Test the suitability of the model simultaneously performed using Likelihood Ratio test and significance testing parameters individually performed with Wald test statistics. The model is applied to the case of car insurance obtained PT. Insurance of Sinar Mas Semarang Branch in 2010 in the form of data many policyholders filed claims to the PT. Sinar Mas Semarang Branch Insurance. Response variable is the number of claims submitted to the PT. Insurance of Sinar Mas Semarang Branch, while the predictor variable is the age car and the type of coverage that consists of All Risk, Total Lost Only (TLO), and the joint between All Risk and Total Lost Only (TLO). From the analytical result obtained the conclution that the age of the car and the type of coverage affects number of claims filed by the policyholder to the PT. Insurance of Sinar Mas Semarang Branch in 2010.

PERAMALAN LAJU INFLASI, SUKU BUNGA INDONESIA DAN INDEKS HARGA SAHAM GABUNGAN MENGGUNAKAN METODE VECTOR AUTOREGRESSIVE (VAR) Priska Rialita Hardani; Abdul Hoyyi; Sudarno Sudarno
Jurnal Gaussian Vol 6, No 1 (2017): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Inflation, Bi Rate (SBI) and the composite stock price index (IHSG) is an economic instrument and often seen as divorce progression of the economic progress of a country. Inflation, Bi Rate and IHSG is a multivariate time series that show activity for a certain period. One method to analyze multivariate time series is Vector Autoregressive (VAR). VAR method is a simultaneous equation model has several endogeneous variables. This research uses secondary data of inflation, SBI and IHSG on period January to June 2016. The VAR model acquired is a model VAR(4), with parameters estimated using the Ordinary Least Square (OLS). The selection model VAR(4) is based on the smallest value of AIC 4,255482 with value of MAPE is 47,11%. Keywords: Inflation, SBI, IHSG, Time Series Multivariate, Forecasting, Vector Autoregressive (VAR).

PERHITUNGAN VALUE AT RISK MENGGUNAKAN MODEL INTEGRATED GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY (IGARCH) (Studi Kasus pada Return Kurs Rupiah terhadap Dollar Australia) Dian Febriana; Tarno Tarno; Sugito Sugito
Jurnal Gaussian Vol 3, No 4 (2014): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Foreign exchange trading can be an alternative investment due to the rapid movement of the exchange rate and its liquid characteristic. Measurement of risk is important because investment is related to substantial funds. One of the popular methods of risk measurement is Value at Risk (VaR) method. In financial time series, data usually have a variance that is not constant (heteroscedastisity). To overcome these problems, ARCH and GARCH models are used. One type of ARCH / GARCH namely Integrated Generalized Autoregressive Conditional Heteroscedasticity (IGARCH). The purpose of this study is modeling the IGARCH volatility and to calculate VaR based on the estimate volatility of the exchange rate return data rupiah against the Australian dollar. This study use daily selling rate data of the rupiah against the Australian dollar from 1 June 2012 until February 28, 2014. The best IGARCH model used for forecasting volatility of exchange rate return data Rupiah against the Australian dollar is the ARIMA model ([10], 0, [19]) IGARCH (1,1) because it has the smallest AIC value. The estimation volatility forecasting results obtained from the IGARCH (1,1) is used to calculate the value at risk on 5 periods ahead with one day holding period and a confidence level of 95%. Value at Risk to be around 0.95% to 1.07% with the highest VaR on 3rd March 2014 and the lowest VaR on 7th March 2014. Keywords : Exchange rate, Volatility, Integrated Generalized Autoregressive Conditional Heteroscedasticity (IGARCH), Value at Risk (VaR)

PERBANDINGAN MODEL ARIMA DAN FUNGSI TRANSFER PADA PERAMALAN CURAH HUJAN KABUPATEN WONOSOBO Siti Lis Ina Atul Hidayah; Agus Rusgiyono; Yuciana Wilandari
Jurnal Gaussian Vol 4, No 4 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Rainfall is one of the things that affect agricultural production. The highest amount of rainfall will cause perturbation in the pollination of flowers and caused zalacca palm to produce fruits no season of the year. Zalacca palm is growing well in heavy rainfall area.. There are some factors which influence rainfall; those are: humidity, solar energy, wind direction and velocity as well as air temperature. The application of ARIMA (Autoregressive Integrated Moving Average) and multi input transfer function was intended to model the rainfall which would be forecasted based on the best model chosen. There were two kinds of variables used in this study. Those were rainfall as the output series while humidity and air temperature as the input series during January 2009 to October 2014. The result showed that ARIMA ([3], 1, [12]) had a fewer Schwart’z Bayesian Criterion (SBC) value 293.199 than multi input transfer function model (0,0,0) (0,1,0) with the result 906.9632.Keywords: Rainfall, ARIMA, Transfer Function

PENENTUAN BOBOT PORTOFOLIO OPTIMAL DENGAN METODE RESAMPLED EFFICIENT FRONTIER UNTUK PERHITUNGAN VALUE AT RISK PADA DATA BERDISTRIBUSI NORMAL Esti Pratiwi; Abdul Hoyyi; Sugito Sugito
Jurnal Gaussian Vol 3, No 3 (2014): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

The investors have a goal of getting return when they invest their wealth, but on the other hand they should bear the risk that might arise from their investment. There are three categories of investors based on their preferences toward risk that is risk averter, moderate risk and risk taker. To establish a portfolio that is able to incorporate investor preferences is used Resampled Efficient Frontier Method. Resampled Efficient Frontier Method is a development of the Mean Variance Efficient Portfolios Method, which used Monte Carlo simulation to obtain more estimated of parameter inputs. Based on the efficient portfolios of Resampled Efficient Frontier along the efficient frontier with 51 efficient points, taken optimal portfolio for each investor type. Optimal portfolio for risk averter, moderate risk and risk taker respectively is an efficient portfolio on the first point, 26th point, and 51st point. To describe the loss of the optimal portfolio is used Value at Risk. VaR is calculated based on monthly return from BBCA, LPKR, PGAS and SMGR during January 2008 until December 2013. Estimated VaR on 95% confidence level during 20 days holding period and the amount of investment allocation Rp 100,000,000.00 from the optimal portfolio for risk averter, moderate risk and risk taker respectively is Rp 50,706,000.00, Rp 54,618,000.00 and Rp 64,522,000.00

ANALISIS FAKTOR-FAKTOR YANG MEMPENGARUHI DIVIDEND PAYOUT RATIO (DPR) MENGGUNAKAN ANALISIS REGRESI LINIER DENGAN BOOTSTRAP (Studi Kasus: PT. Unilever Indonesia, Tbk Tahun 1999-2015) Lia Safitri; Di Asih I Maruddani; Rukun Santoso
Jurnal Gaussian Vol 6, No 3 (2017): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

The amount of dividend paid by the company to shareholders or dividend payout ratio is the main factor that investors pay attention to invest their capital into the company. Investors want a relative dividend, even increasing over time. Factors influencing the level of dividend payout ratio are Return on Equity (ROE), stock price, liquidity ratio, and leverage level. Based on this, multiple linear regression analysis with bootstrap is used. The purpose of this study is to analyze the factors that significantly affect the dividend payout ratio based on the best model used to predict the value of dividend payout ratio for the next period. The bootstrap method is used to overcome the occurrence of multicollinearity among independent variables due to the small sample size. Based on the simulation done with software R using PT data. Unilever Indonesia, Tbk from 1999-2015 obtained best model is bootstrap residual with 2 significant independent variable are ROE and level of leverage. Based on the best model, the predicted value of dividend payout ratio of 2016 is 41.60196 with percentage error of 7.0812%. Keywords : Regression analysis, Bootstrap, Dividend Payout Ratio, ROE, leverage

KAJIAN SIX SIGMA DALAM PENGENDALIAN KUALITAS PADA BAGIAN PENGECEKAN PRODUK DVD PLAYERS PT X Nailatis Shofia; Mustafid Mustafid; Sudarno Sudarno
Jurnal Gaussian Vol 4, No 1 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Increasingly rapid development period, many industry sectors are growing and developing in Indonesia. Quality basic consumer decision factor in selecting goods and services. In the process of checking the audio end section 8 types of defects found on the product DVD players. Damage that occurs due to several factors, including factors human, material factors, and factors machines. If the quality of a company is said to have good production systems with process control. Six Sigma method is a method that can be used for analysis of the defect rate to approach zero defect products. The procedures used for quality improvement towards the target that the concept of Six Sigma DMAIC. This study aims to apply Six Sigma methods in quality control by conducting case studies to improve product quality DVD player at the end of the audio process. The results obtained in this study is on the whole production process mengkasilkan DPMO value of 5487 with sigma quality level of 4.04 means that the product of one million DVD players there are 5487 units of product that does not fit in production. Keywords : Quality, Statistical Quality Control, Six Sigma

OPTIMASI VALUE AT RISK PADA REKSA DANA DENGAN METODE HISTORICAL SIMULATION DAN APLIKASINYA MENGGUNAKAN GUI MATLAB Christa Monica; Tarno Tarno; Hasbi Yasin
Jurnal Gaussian Vol 5, No 2 (2016): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Value at Risk (VaR) is a method used to measure financial risk within a firm or investment portfolio over a specific time period at certain confidence interval level. Historical Simulation is used in this research to compute VaR of stock mutual fund at 5% confidence interval level, with one day time period and Rp 100.000.000,00 startup investment fund. Historical Simulation ia a non parametric method where the formula doesn’t require any asumption. Portfolio optimization is done by calculating the weight of allocation fund for each asset in the portfolio using Mean Variance Efficient Portfolio (MVEP) method. The data in this research are divided into four mutual fund asset. To make VaR become easier for people to understand, an application is made using GUI in Matlab. The smallest risk value for single investment asset is obtained by Valbury Equity I stock mutual fund and the smallest risk value for two-asset portfolio is obtained by the combination assets of Pacific Equity Fund and Valbury Equity I. Meanwhile for three-asset portfolio, the combination assets of Pacific Equity Fund, Valbury Equity I, and Millenium Equity Prima Plus have the smallest risk value. The test result of VaR with Basel Rules shows that the usage of VaR is legitimate to measure loses potency in mutual fund investment.Keywords: Value at Risk (VaR), Historical Simulation, Mutual Fund, Risk.

KAJIAN AVAILABILITAS PADA SISTEM KOMPONEN SERI Avida Nugraheni C.; Sudarno Sudarno; Triastuti Wuryandari
Jurnal Gaussian Vol 2, No 3 (2013): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Availability is a measure of system performance and measures the combined effect of reliability, maintenance and logistic support on the operational effectiveness of the system. Availability of series system is derived from inherent availability of system that takes effect from mean time to failure (MTTF) and mean time to repair (MTTR). Given observed time data of microcontroller consists of processor core, memory and programmable I/O peripheral in series, is measured its system availability. By simple linier regression method, the parameter estimation is determined after data distribution known, for the mean time. Processor core has Weibull distribution for failure time data with , and as regression model while repair time data is lognormal distribution with , and regression model is . Memory has exponential failure time data with and as regression model while normal repair time data has dan and regression model is . Failure time data distribution of programmable I/O peripherals is Weibull with , and regression model while lognormal repair time data has , and regression model is . Due to MTTF is 11364.57 hours and MTTR is 41.59 hours, processor core’s availability is 99.64%. Availability of memory is 99.87% from MTTF is 20000 hours and MTTR is 27 hours. Programmable I/O peripheral has 18773.41 hours as MTTF and MTTR is 38.67 hours that deliver availability 99.79%. The series system availability is 99.30% means the probability of system is in the state of functioning at given time is 99.30%.

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Department of Statistic, Faculty of Science and Mathematics , Universitas Diponegoro Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro Gedung F lt.3 Tembalang Semarang 50275

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Kota semarang,

Jawa tengah

INDONESIA