probter-14-MarkovChain2 - Reachable State Modul14 Klasifikasi Status Rantai Markov Suryana Setiawan MSc Fasilkom UI Ditulis ulang dari handout resmi

probter-14-MarkovChain2 - Reachable State Modul14...

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4/15/2008 1 Modul 14: Klasifikasi Status Rantai Markov Suryana Setiawan, MSc. Fasilkom UI Ditulis ulang dari handout resmi buku teks Reachable State s tatus j reachable dari status i apabila dalam rantai dapat terjadi transisi dari status i ke status j melalui sejumlah transisi terjadi transisi dari status ke status berhingga (dalam istilah graph adalah path): Terdapat n , 1 n < , sehingga P n ij > 0 Sebaliknya status j unreachable dari status i apabila tidak ada satupun path yang dapat mentransisikan status i ke status j . Dari contoh berikut ini manakah yang reachable dan manakah tid k? yang tidak? A B C D E Irreducible Chain jika dalam suatu rantai Markov setiap status reachable dari setiap status lainnya, rantai tersebut adalah irreducible . Sebaliknya, reducible jika ada status yang unreachable dari status lainnya. Contoh reducible (kiri) dan irreducible (kanan) A B C D E A B C D E Periodic State suatu status i disebut periodic dengan perioda d > 1, jika p n > 0 hanya untuk n = d 2 d 3 d ii > 0, hanya untuk = , 2 , 3 , … Sebaliknya, jika p n ii > 0 untuk n = 1, 2, 3, … maka status tersebut disebut aperiodic .
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  • Spring '08
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