PENDUGAAN PARAME TER DARI DISTRIBUSI POISSON DENGAN MENGGUNAKAN METODE MAXIMUM LIKEHOOD ESTIMATION (MLE) DAN METODE BAYES

Authors

  • Meutia Fikhri
  • Ferra Yanuar
  • Yudiantri Asdi

DOI:

https://doi.org/10.25077/jmu.3.4.152-159.2014

Abstract

Pendugaan titik dari sebuah parameter populasi adalah sebuah nilai yang
diperoleh dari contoh dan digunakan sebagai penduga dari parameter yang nilainya tidak
diketahui. Pendugaan titik dapat ditentukan dengan beberapa metode pendugaan, yaitu
metode Momen, metode Maksimum Likelihood Estimation (MLE) dan metode Bayes.
Tujuan dari penelitian ini adalah untuk menentukan pendugaan titik pada distribusi
Poisson untuk satu parameter dengan metode Maksimum Likelihood Estimation (MLE)
dan metode Bayes dan membandingkan kedua metode dalam menduga parameter distribusi Poisson. Distribusi Prior untuk metode Bayes yang digunakan pada penelitian ini
adalah distribusi prior Gamma. Perbandingan kedua metode dilakukan melalui simulasi
data pada berbagai kondisi parameter dan ukuran sampel, kemudian dilihat ketakbiasan,
kekonsistenan, dan keefisienan. Hasil simulasi data menunjukkan bahwa metode Bayes
lebih konsisten dibandingkan dengan metode Maksimum Likelihood Estimation (MLE)
dalam menduga parameter distribusi Poisson.

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Published

01-12-2014

Issue

Vol. 3 No. 4 (2014)

Section

Articles

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