MODEL STAR(1;1) PADA DATA PRODUKTIVITAS TEH

Model STAR (1;1) atau model Space Time Auto Regresi(1;1) adalah salah satu bentuk model yang melibatkan lokasi dan waktu. Model STAR(1;1) stasioner dapat digunakan untuk prakiraan observasi di suatu lokasi pada waktu mendatang berdasarkan satu waktu sebelumnya dari lokasinya sendiri dan lokasi-lokasi lain disekitarnya. Penerapan model STAR(1;1) pada data stasioner produktivitas teh menunjukkan bahwa nilai Eigen dari matriks parameter model STAR(1;1) bernilai lebih kecil dari 1. Hal ini menunjukkan bahwa parameter model STAR(1;1) untuk data produktivitas teh tersebut memenuhi syarat stasioner

A Solution of Nonlinear Boundary Value Problem of System With Rectangular Coefficients

This paper discusses a nonlinear boundary value problem of system with rectangular coefficients of the form  with boundary conditions of the form  A(t)x' + B(t)x = f(t,x) and  which is  is a real  matrix with  whose entries are continuous on the form B1x(to)=a  and B2x(T)=b which is A(t) is a real m  n matri with m > n matrix with m > n whose entries  are continuous on J = [to,T] and f E C[J x Rn, Rn]. B1, B2  are nonsingular matrices such that  and  are constant vectors, especially about the proof of the uniqueness of its solution. To prove it, we use Moore-Penrose generalized inverse and method of variation of parameters to find its solution. Then we show the uniqueness of it by using fixed point theorem of contraction mapping. As the result, under a certain condition, the boundary value problem has a unique  solution

First Order Space Time Autoregressive Stationary Model on Petroleum Data

First order Space-Time Autoregressive model is one of the models which involves location and time. STAR(1;1) model stationary can be used to forecast future observation at a location based on one previous time of its own location and the spatial neighborhood. STAR(1;1) model on petroleum productivity data in Balongan, Indramayu, West Java with eigenvalue less than 1. It indicates that STAR (1;1) model on petroleum productivity data in Balongan, Indramayu, West Java meets the stationary requiremen

SIFAT SUB RUANG TOPOLOGI HASIL KALI RUANG METRIK KERUCUT

Penelitian ini membahas tentang  ruang topologi hasil kali ruang metrik kerucut, khususnya tentang aksioma keterhitungan pertama pada subruangnya. Untuk membuktikan sifat, pertama-tama ditunjukkan bahwa ruang topologi hasil kali dua ruang metrik kerucut memenuhi aksioma keterhitungan pertama, selanjutnya ditunjukkan bahwa setiap subruangnya  juga memenuhi sifat tersebut dengan menunjukkan setiap elemen dari setiap subruangnya memiliki basis lokal terhitung. Hasilnya adalah aksioma keterhitungan pertama pada topologi hasil kali dua ruang metrik kerucut adalah hereditas.Kata kunci: Mertik kerucut, aksioma keterhitungan pertama, subruang, basis lokal, heredita

Some Operations on Mixed Monotone Operator in Banach Spaces

This paper discusses some operations on mixed monotone operator in Banach space, especially addition an multiplication operations. We will prove the sum and product of two mixed monotone operators. The proof using some relevant definitions. The result is the sum o of them is a mixed monotone operator and the product is  too if both  satisfy some condition

Reliability Study of Oil and Gas Pipelines Using the Normal Distribution Method

Gas and oil pipelines have decreased function and damaged due to corrosion. This research aims to analyze and predict the life of gas and oil pipelines within a certain time span. The method used is a reliability study using a normal distribution. The analysis results show it is predicted that the pipe reliability probability in 2030 will decrease and the probability of failure will increase. The probability of reliability is 0.843572786617270 and the probability of failure is 0.156427213382730 in 2030. With the long distance pipeline, maximum depth as shown in the attachment the average thick remain is 0.2200 inches, the average corrotion rate is 0.0317 mm/year, with prediction thick remain from 2000 to 2030 in inches

Interest Rate in Pension Plan Premium Calculation

This research aims to analyze the relationship between the interest rate relationship is inversely proportional to the amount of the premium on the pension plan. The method used is to measure several variables, among others FSL (Future Service Liability), PVFSAL (Present Value Future Salary), PR (Pension Rate) and Premiums. Calculation, life annuity uses actuarial assumptions, one of which is the interest rate assumption, if the assumptions used are not in accordance with the actual conditions, then what happens is excessive payments or deficient payments. The interest rate has an influence in the process of calculating the defined benefit pension plan premium. Using the assumption of different interest rates (11%, 12 % and 13%), it is found that the interest rate relationship is inversely proportional to the amount of the premium. The results of this study are FSL, PVFSAL, PR and Premiums for the interest of 11%, 12% and 13% (participants aged 25 years) as follows 720,187.97; 554,000,24; 430,570.07 (FSL in Rupiah); 27,155,187.70; 24,922,770,59; 23,002,699.40 (PVFSAL in Rupiah); 2.6521; 2.2229; 1.8718 (PR in%) and 55,535.38; 46,546.85; 39,196.00 (Premiums in Rupiah)The higher the interest rate, the smaller the pension premium and vice versa

Factors Affecting the Amount of Investment Loans in Commercial Banks with the Application of Linear Regression Analysis Methods

Several factors can affect the amount of investment credit issued by the bank. This study discusses the effect of interest rates, inflation rates, capita income, and the number of medium-large industries on the number of investment loans, using the method of linear regression analysis. The independent variables examined to determine the influence of each and all the independent variables on the number of investment loans in commercial banks, namely interest rates, inflation rates, capita income, and the number of medium-large industries using the parameter estimation method, OLS (Ordinary Least Square)

Parameter Estimation STAR (1;1) Model Using Binary Weight

Space Time Auto Regressive(1;1)  Model or STAR(1;1)  model is a form of model that involves location and time. The STAR(1;1)  model is a stationary space time model in mean and variance. The STAR model can be used to forecast future observations at these locations by involving the effects of observations at other nearby locations in spatial lag 1 and lag time 1 [2]. The STAR model can be written as a linear model assuming that error is normally distributed with zero mean and constant variance. In this research, the parameter estimation procedure for STAR model using binary weight, MKT method and STAR model for the estimation of petroleum production in 3 wells is assumed to be in a homogeneous reservoir

Kajian Matriks Bobot Lokasi Model Space Time Autoregresi (STAR)

Model STAR (Space Time Autoregresi) merupakan pengembangan dari model deret waktu univariat AR (Autoregresi), menjadi model kombinasi lokasi dan waktu. Keterkaitan antar lokasi penelitian pada model STAR dinyatakan dengan matriks bobot W yang merupakan matriks bujur sangkar dengan entri-entri berupa bobot antara dua lokasi yang bersesuaian. Dalam makalah ini dibahas tiga macam matriks bobot untuk model STAR(1;1), yaitu: matriks bobot seragam, matriks bobot seperjarak kuadrat dan matriks bobot spasial, menentukan dan menggunakan matriks bobot tersebut pada data simulasi, membandingkan serta memilih mana yang lebih baik diantara ketiganya dengan kriteria jumlah kuadrat galat yang paling minimum. Taksiran model STAR(1;1) dengan tiga macam bobot menghasilkan jumlah kuadrat galat yang minimum untuk model dengan matriks bobot spasial. Hal ini berarti bahwa bobot spasial memberikan taksiran parameter model STAR(1,1) yang lebih baik dibandingkan penggunaan matriks bobot seragam dan seperjarak kuadrat. Kata kunci: Matriks bobot, model STAR, autoregres