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Title: | Analisis Model Difusi untuk Proses Perubahan Penduduk di Indonesia Analysis. of Diffusion Model for the Process of Population Change in Indonesia. |
Authors: | Sumarno, Hadi Mangku, I Wayan Hayati, Yani |
Keywords: | Diffusion with jumps maximum likelihood method |
Issue Date: | 2009 |
Publisher: | IPB (Bogor Agricultural University) |
Abstract: | Proses perubahan penduduk merupakan suatu fenomena di bidang demografi yang dapat dimodelkan dengan proses stokastik, yaitu dengan model difusi. Karakteristik model dengan proses difusi ini dicirikan adanya komponen deterministik (tolend) dan komponen stokastik (noise) dari suatu persamaan diferensial stokastik. Pada komponen stokastik yang merupakan peubah acak adalah proses Wiener. Nilai harapan dan ragamnya berturut-turut sebagai drift rate dan angka koefisien dari difusi. The total number of population changes in time because of fertility, mortality and migration. The behavior of the process can be explained by a mathematical model called diffusion with jumps. The aim of this research is to study the diffusion models with jumps that consider some non-proper events as factors of the change process. The models are applied to Indonesian population's data from 1961 to 2000. Estimation of the parameters is carried out by using maximum likelihood method. The results of analysis show that the diffusion model with jump that magnitudes have a uniform distribution fits the popUlation data quite well. |
URI: | http://repository.ipb.ac.id/handle/123456789/55460 |
Appears in Collections: | MT - Mathematics and Natural Science |
Files in This Item:
File | Description | Size | Format | |
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2009yha.pdf Restricted Access | Full Text | 2.06 MB | Adobe PDF | View/Open |
Abstract.pdf Restricted Access | Abstract | 355.32 kB | Adobe PDF | View/Open |
BAB I Pendahuluan.pdf Restricted Access | BAB I | 331.58 kB | Adobe PDF | View/Open |
BAB II Tinjauan Pustaka.pdf Restricted Access | BAB II | 548.33 kB | Adobe PDF | View/Open |
BAB III Metode Penelitian.pdf Restricted Access | BAB III | 293.83 kB | Adobe PDF | View/Open |
BAB IV Model dan Pembahasan.pdf Restricted Access | BAB IV | 884.47 kB | Adobe PDF | View/Open |
BAB V Simpulan.pdf Restricted Access | BAB V | 299.39 kB | Adobe PDF | View/Open |
Cover.pdf Restricted Access | Cover | 282.5 kB | Adobe PDF | View/Open |
Daftar Pustaka.pdf Restricted Access | Daftar Pustaka | 308.5 kB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 753.73 kB | Adobe PDF | View/Open |
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