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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 : Education,
Mathematics
MILANG Journal of Mathematics and Its Applications publishes original research articles in the broad field of mathematics and its interdisciplinary applications. The journal covers, but is not limited to, the following areas: Mathematics in Informatics, Mathematics in Life Sciences, Mathematics in Actuarial Science, Mathematics in Natural Sciences, and Mathematics in Graph Theory. MILANG is open to high-quality submissions presenting innovative mathematical theories, methods, and applications that advance scientific understanding or solve real-world problems. The journal welcomes interdisciplinary research and contributions that bridge mathematics with other scientific domains.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
 1 
Search results for , issue "Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications" : 5 Documents clear
MIXED FINITE ELEMENT FORMULATION OF THE BIHARMONIC EQUATION GARNADI, A. D.
MILANG Journal of Mathematics and Its Applications Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.4.1.1-12

Abstract

We will provide an abstract setting for mixed finite element method for biharmonic equation. The abstract setting casts mixed finite element method for first biharmonic equation and sec- ond biharmonic equation into a single framework altogether. We provide error estimates for both type biharmonic equation, and for the first time an error estimate for the second biharmonic equation.
IDENTIFIABILITY OF HIDDEN MARKOV MODELS SETIAWATY, B.
MILANG Journal of Mathematics and Its Applications Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.4.1.13-22

Abstract

This paper shows that the identifiability problem for hidden Markov models can be derived from the identifiability of finite mixtures.
PENDUGAAN PARAMETER MODEL HIDDEN MARKOV * SETIAWATY, B.; KRISTINA, L.
MILANG Journal of Mathematics and Its Applications Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.4.1.23-40

Abstract

Pendugaan parameter untuk model Hidden Markov Elliott et. al. (1995) dilakukan mengunakan Metode Maximum Likelihood dan pendugaan ulang menggunakan metode Expectation Maximization yang melibatkan perubahan ukuran. Dari metode tersebut diperoleh algoritma untuk menduga parameter model.
OPTIMAL TRACKING AND REGULATION ACCURACY OF FEEDBACK CONTROL SYSTEMS BAKHTIAR, T.
MILANG Journal of Mathematics and Its Applications Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.4.1.41-50

Abstract

This paper deals with intrinsic performance limits achievable by feedback control. We give analytical expressions of the optimal tracking and regulation problems for linear shift- invariant single-input and multiple-output (SIMO) discrete-time systems. For the former, we modify the existing results by means of the delta operator and show that the continuous-time counter- part results can be properly recovered from this point. For the latter, we derive a discrete-time result first and show the conver- gence property.
ESTIMATING THE INTENSITY IN THE FORM OF A POWER FUNCTION OF AN INHOMOGENEOUS POISSON PROCESS MANGKU, I W.; WIDIYASTUTI, I.; PURNABA, I G. P.
MILANG Journal of Mathematics and Its Applications Vol. 4 No. 1 (2005): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.4.1.51-57

Abstract

An estimator of the intensity in the form of a power function of an inhomogeneous Poisson process is constructed and investigated. It is assumed that only a single realization of the Poisson process is observed in a bounded window. We prove that the proposed estimator is consistent when the size of the window indefinitely expands. The asymptotic bias, variance and the mean- squared error of the proposed estimator are computed. Asymptotic normality of the estimator is also established.

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