BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan

ANALISIS SURVIVAL UNTUK PARAMETER SKALA DARI DISTRIBUSI WEIBULL MENGGUNAKAN MLE DAN METODE BAYESIAN

Ferra Yanuar (Prodi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas)
Sisca Wulandari (Prodi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas)
Izzati Rahmi HG (Prodi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Andalas)

Article Info

Publish Date
01 Mar 2021

Abstract

Modeling of survival data is necessary and important to do. Survival data is generally assumed to have a Weibull distribution. Bayesian approach has been implemented to estimate the parameter in such this survival analysis. This study purposes to compare the performance of the Maximum Likelihood and Bayesian using Invers Gamma as prior conjugate for estimating the survival function of scale parameter of Weibull distribution. The comparisons are made through simulation study. The best performance of both estimators is chosen based on the lowest value of absolute bias and the mean square error. Two different size samples are generated to illustrate the life time data which are used in this study. This study results that maximum likelihood is the best estimator compared to Bayes with Invers Gamma distribution as conjugate prior.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...