APROKSIMASI DISTRIBUSI GENERALIZED EKSPONENSIAL (GE) DAN DISTRIBUSI GENERALIZED LOG LOGISTIK (GLL) TERHADAP DISTRIBUSI EKSPONENSIAL

HERLYANTI , (1327031009) (2016) APROKSIMASI DISTRIBUSI GENERALIZED EKSPONENSIAL (GE) DAN DISTRIBUSI GENERALIZED LOG LOGISTIK (GLL) TERHADAP DISTRIBUSI EKSPONENSIAL. Masters thesis, FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM.

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Abstract

Distribusi Generalized Eksponensial (GE) memiliki dua parameter yaitu dan yang masing-masing adalah parameter bentuk dan parameter skala. Distribusi generalized log-logistik (GLL) memiliki empat parameter yaitu parameter ( , , , ), dengan adalah parameter lokasi, adalah parameter skala,dan ( , )adalah parameter bentuk. Distribusi eksponensial memiliki parameter sebagai parameter skala. Tujuan dari penelitian ini adalah melakukan pendekatan distribusi Generalized Eksponensial dan distribusi Generalized Log- Logistik terhadap distribusi eksponensial dengan menyamakan fungsi pembangkit momen dan fungsi karakteristik dari distribusi - distribusi tersebut. Berdasarkan hasil yang diperoleh baik menurut analitik maupun grafik menggunakan software R 3.2.0, distribusi eksponensial dapat didekati oleh distribusi Generalized Eksponensial dan distribusi Generalized Log-Logistik dengan melakukan reparameterisasi pada kedua distribusi tersebut pada fungsi pembangkit momen dan fungsi karakteristiknya. abstract The Generalized Exponential Distribution (GED) has two parameters (α,λ), as a shape parameter and as a scale parameter. Generalized log-logistic distribution (GLLD) has four parameters ( , , , ), with α is the location parameter, β is the scale parameter, and ( , ) is the shape parameter. The exponential distribution has parameter λ as parameter scale. The purpose of this study is to approximate the generalized exponential distribution and generalized log logisticdistribution to the exponential distribution by using the moment generating functions and characteristic functions of these distributions. Based on the results obtained by the analytical and graphic using the software R 3.2.0, the exponential distribution can be approximated by a generalized exponential distribution and generalized log-logistic distribution by reparameterisasi on both the distribution of the moment generating function and characteristic function. Keywords: Exponential Distribution, Generalized Exponential Distribution, Generalized Log-logistic Distribution, Moment Generating Functions, Characteristic Functions.

Item Type: Thesis (Masters)
Subjects: Q Science (General) > QA Mathematics
Divisions: Fakultas MIPA > Prodi Magister Ilmu Matematika
Depositing User: 9876673 . Digilib
Date Deposited: 26 Jan 2016 06:56
Last Modified: 26 Jan 2016 06:56
URI: http://digilib.unila.ac.id/id/eprint/20569

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