Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor

  • Reza Anjab Ramadhan universitas negeri jakarta
  • Widyanti Rahayu Universitas Negeri Jakarta
  • Ibnu Hadi Universitas Negeri Jakarta
Keywords: censored data, Bayesian parameter estimation, conjugate prior, SELF, survival analysis

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.

Published
2022-08-30