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Mochamad Tito Julianto
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Milang Journal of Mathematics and Its Applications
Published by Institut Pertanian Bogor
ISSN : -     EISSN : 29635233     DOI : https://doi.org/10.29244/milang.18.1
Core Subject : Science, Education, Agriculture, Engineering,
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Mathematics
The name MILANG is a Sundanese word that means “to count”, and is also an acronym of the topics covered in the journal: Mathematics in Informatics, Life Sciences, Actuarial Science, Natural Sciences, and Graph Theory.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 7 Documents
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Search results for , issue "Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications" : 7 Documents clear
STRONG CONVERGENCE OF A UNIFORM KERNEL ESTIMATOR FOR INTENSITY OF A PERIODIC POISSON PROCESS WITH UNKNOWN PERIOD I W. MANGKU
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (141.096 KB) | DOI: 10.29244/jmap.8.1.1-10

Abstract

Strong convergence of a uniform kernel estimator for intensity of a periodic Poisson process with unknowm period is presented and proved. The result presented here is a special case of the one in [3]. The aim of this paper is to present an alternative and a relatively simpler proof of strong convergence compared to the one in [3]. This is a joint work with R. Helmers and R. Zitikis.1991 Mathematics Subject Classication: 60G55, 62G05, 62G20.
ANALISIS KETAHANAN DAN APLIKASINYA UNTUK PEMODELAN INTERVAL KELAHIRAN ANAK PERTAMA H. HARNANTO; H. SUMARNO; R. BUDIARTI
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (272.156 KB) | DOI: 10.29244/jmap.8.1.11-20

Abstract

Sebagian data selang kelahiran anak pertama tidak dapat diamati secara lengkap (data tersensor). Untuk menganalisis data  selang kelahiran anak pertama yang sebagian  tersensor  tersebut, digunakan analisis ketahanan nonparametric, yaitu metode life table, Kaplan-Meier, dan Hazard proporsional Cox. Hasil analisis menunjukkan bahwa (1) walaupun tidak nyata, semakin kecil panjang selang yang digunakan dalam metode life table memberikan hasil analisis yang semakin baik, (2) berdasarkan metode Kaplan-Meier, hazard dari beberapa peubah bebas bersifat proporsional, (3) berdasarkan metode hazard proporsional Cox, peubah tempat tinggal, pendidikan, dan umur perkawinan pertama berpengaruh terhadap selang kelahiran anak pertama.
PEMANTAUAN PERSAMAAN MODEL STRUKTURAL DALAM DATA ORDINAL B. SUHARJO; LA MBAU; N. K. K. ARDANA
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (713.526 KB) | DOI: 10.29244/jmap.8.1.21-36

Abstract

Structural equation modeling (SEM) is one of multivariate techniques  that can estimates a series of interrelated dependence relationships from a number of endogenous and exogenous variables, as well as latent (unobserved) variables simultaneously. To estimates their parameters, SEM based on structure covariance matrix, there are severals methods can be used as estimation methods, namely maximum likelihood (ML), weighted least squares (WLS), generalized least squares (GLS) and unweighted least squares (ULS). The purpose of this paper are to learn these methods in estimating SEM parameters and to compare their consistency, accuracy and sensitivity based on sample size and multinormality assumption of observed variables.  Using a fully crossed design, data were generated for 2 conditions of normality  and 5 different sample sizes. The result showed that when data are normally distributed, ML and GLS more consistent and accurate then the  other methods
PROSES FISI GELOMBANG SOLITER INTERFACIAL J. JAHARUDDIN
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (297.301 KB) | DOI: 10.29244/jmap.8.1.37-44

Abstract

Penurunan persamaan gerak bagi gelombang interfacial dilakukan dengan metode asimtotik. Domain fluida yang ditinjau berupa dasar yang tidak rata. Dalam penurunan persamaan gerak diasumsikan bahwa gelombang yang ditinjau mempunyai panjang  gelombang yang cukup panjang dan pengamatan dilakukan dalam waktu yang hingga. Persamaan gerak yang diperoleh berupa persamaan Korteweg-de Vries (KdV). Kajian bagi proses fisi gelombang soliter interfacial dilakukan dengan menggunakan persamaan KdV. Grafik yang menyatakan hubungan antara kedalaman fluida dengan perambatan beberapa soliter diberikan.
ANALISIS MODEL PENYAKIT MENULAR DENGAN PERIODE LATENT DAN RELAPSE A. KUSNANTO; P. SIANTURI; A. SUKAMTO
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (423.211 KB) | DOI: 10.29244/jmap.8.1.45-56

Abstract

The spread of infected diseases are usually caused by direct contact between those considered as susceptible and those  already infected. In this study, both the relapse and the latent factors were considered. The relapse factor is associated with a condition where the disease might be occurred again, while the latent related with the condition that the germ were being inactive in the body. We  applied this model to study the spread of the disease considering that the members of population in the exposed class were distributed on a manner of negative exponentially distribution or step function. The basic reproduction number was studied and applied to stability. All the models gave results that as the birth rate or remove rate was bigger then the proportion of susceptible population increase, while proportion of infected population and recovers decrease.  On the other hand, if the contact rate and recurrence to return increase then the susceptible population decrease, while the proportion of infected population and  recovers increase.
PENDUGAAN PARAMETER DERET WAKTU HIDDEN MARKOV DUA WAKTU SEBELUMNYA B. SETIAWATY; S. F. NIKMAH
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (340.298 KB) | DOI: 10.29244/jmap.8.1.57-66

Abstract

Pendugaan parameter deret waktu Hidden Markov dua waktu sebelumnya dilakukan mengunakan Metode Maximum Likelihood dan pendugaan ulang menggunakan metode Expectation Maximization. Dari kajian ini diperoleh algoritma untuk menduga parameter model.
MODEL PERTUMBUHAN EKONOMI ANTAR KELOMPOK DAN SIMULASINYA A. L. HERLIANI; E. H. NUGRAHANI; D. C. LESMANA
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 1 (2009): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (371.252 KB) | DOI: 10.29244/jmap.8.1.67-79

Abstract

Domar’s economic growth model only considers capital as primary variable for production function. On the other hand, Solow’s economic growth model has added the labor as variable in the production function. The aim of this paper is to study distribution model of economic growth among groups in two regions proposed by Zhang (2005). This model considers human capital productivity as one of parameters of the production function. It has been shown that the dynamical system has a unique equilibrium. Therefore, the changes of human capital and propensity to save will influence total capital stocks and capital stocks in each group. Analytically, it is found that an increase in human capital and propensity to save will increase total capital stocks and capital stocks in each group.

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