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All Journal JMT (Jurnal Matematika dan Terapan)
Reza Anjab Ramadhan
universitas negeri jakarta
Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

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Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor Reza Anjab Ramadhan; Widyanti Rahayu; Ibnu Hadi
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.3

Abstract

Parameter is a value that describe the characteristics of a population. But the parameter of a real data, the value is unknown. To estimate the value of the parameter, there are several methods, which are maximum likelihood estimation method (MLE) and Bayesian parameter estimation method. In Bayesian method, the prior information is applied to update the current data. The prior is determined based on the information in the data. This article using censored data with exponential distribution, and using the conjugate prior. Followed by squared error loss function (SELF), the estimated value function on the λ parameter. When the function was applied on Stanford heart transplant data, the value of ˆλ = 0.00089, which means the patient’s failure (death) probability is low and the patient’s probability to survive is high.
Co-Authors Ibnu Hadi Widyanti Rahayu