ANALISIS PROSES RENEWAL DENGAN WAKTU ANTAR KEJADIAN BERDISTRIBUSI GAMMA

EFRINA MIRANDA, . (2020) ANALISIS PROSES RENEWAL DENGAN WAKTU ANTAR KEJADIAN BERDISTRIBUSI GAMMA. Sarjana thesis, UNIVERSITAS NEGERI JAKARTA.

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Abstract

Skripsi ini membahas tentang proses renewal dengan waktu antar kejadian berdistribusi Gamma. Hal-hal yang dibahas dalam skripsi ini adalah probabilitas mean, variansi, dan sifat-sifat asimtotik proses renewal dengan waktu antar kejadian berdistribusi Gamma. Untuk menghitung mean, variansi, dan sifat-sifat asimtotik proses renewal dengan waktu antar kejadian berdistribusi Gamma akan dihitung dalam bentuk transformasi Laplace. Distribusi Gamma memiliki dua parameter yaitu α dan β, dimana α merupakan parameter bentuk dan β merupakan parameter skala. Jika α dan β merupakan bilangan bulat, maka mean, variansi, dan sifat-sifat asimtotik proses renewal dengan waktu antar kejadian berdistribusi Gamma dapat disajikan secara analitik. This thesis discusses about the renewal process with Gamma distribution inter-events time. The characteristics which will be discussed in this thesis are the probabilities of the mean, variance, and asymptotic properties of the renewal process with Gamma distribution inter-events time. Mean, variance, and asymptotic properties of the renewal process with Gamma distribution inter-events time will be presented in the form of Laplace transformation. The Gamma distribution has two parameters, α and β, where α is the form parameter and β is the scale parameter. If α and β are integers, the mean, variance, and asymptotic properties of the renewal process with Gamma distribution inter-events time can be presented analytically.

Item Type: Thesis (Sarjana)
Additional Information: 1). Prof. Dr. Suyono, M.Si. ; 2). Siti Rohmah Rohimah, S.Pd., M.Si.
Subjects: Sains > Matematika
Divisions: FMIPA > S1 Matematika
Depositing User: Users 1042 not found.
Date Deposited: 23 Apr 2020 14:57
Last Modified: 23 Apr 2020 14:57
URI: http://repository.unj.ac.id/id/eprint/5906

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