ESTIMASI PARAMETER DISTRIBUSI GENERALIZED GAMMA UNTUK PEMODELAN ANGKA KELAHIRAN DI INDONESIA
In this thesis, we discuss about finding estimators of three parameters of Generalized Gamma family distribution with Maximum Likelihood Estimation Method. Newton method is selected to calculate numerically for finding the estimators. The estimators of three distributions, Weibull, Gamma and Exponen...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2012
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/99822/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=56057 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | In this thesis, we discuss about finding estimators of three parameters of
Generalized Gamma family distribution with Maximum Likelihood Estimation
Method. Newton method is selected to calculate numerically for finding the
estimators. The estimators of three distributions, Weibull, Gamma and
Exponential distributions as the special case of three parameters of generalized
gamma family distribution also were found, including Confidence Intervals
Bound and Mean Square Error (MSE) value of estimators.
The case study which was implementatied is modelling Total Fertility Rate
in Indonesian with sample size 48, based on result of goodness of fit test by
EasyFit 5.5 Professional software, both Generalized Gamma and Weibull
distributions can be used to modelling sample distribution. It is conclused that
Generalized Gamma distribution three parameters is bether than Weibull
distribution that is special case form of generalized gamma family distribution,
based on MSE of the estimators and curve fit. |
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