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Ardi Kurniawan
STMIK Amikom Yogyakarta
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Journal : JAMBURA JOURNAL OF PROBABILITY AND STATISTICS

 1 
Bayes Estimator of Exponential Distribution Parameters of Type II Censored Data with Linear Exponential Loss Function Method Based on Jeffrey Priors Previan, Anggara Teguh; Kurniawan, Ardi; Mardianto, M. Fariz Fadillah; Sediono, Sediono
Jambura Journal of Probability and Statistics Vol 4, No 2 (2023): Jambura Journal Of Probability and Statistics
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjps.v4i2.22549

Abstract

Survival analysis is often used in the application of analyzing the survival of an object such as living things or objects. This analysis is identical to data censoring which is divided into three, namely: type I, II, and III censored data. Type II censored data is data censoring done by determining the number of objects to be analyzed  from the total number of observation objects . Type II censored data is used when the analysis is intended to maximize the results of the analysis. Bayesian Linear Exponential (LINEX) loss function is one method that can be used to estimate parameters in survival analysis by minimizing the expected value of LINEX. The purpose of this study is to determine the Bayesian LINEX loss function parameter estimation on type II censored data using exponential distribution. This method uses the concept of posterior distribution and prior distribution. The prior distribution used is the Jeffrey prior distribution which has objective properties and is based on Fisher information theory The application of the parameter estimation results is carried out on the survival data of lung cancer patients obtained from the North Central Cancer Treatment Group. Based on the results of parameter estimation, it is concluded that the greater the value of the controller  (a) can produce a smaller value of parameter estimation results (θ^) . The results of this study can be used as a reference in conducting survival tests using type II censored exponential distribution data using the LINEX loss function method based on Jeffrey priors.
Co-Authors Abdillah, Adrian Wahyu Abdul Rochim Adriadi, Rekho Alda Fuadiyah Suryono Alexandra, Victoria Anggia Alfinda Novi Kristanti Alghifary, M Husain Haekal Aminy, Aisyah Anggakusuma, Aurellia Calista Anto Andreawan Arisa Olivia Putri Ayanti Kristantini, Rr Az Zuhro, Muhammad Rosyid Ridho Azizah, Khansa Baskoro , Harjo Boy Firmansyah Budijono, Gabriella Agnes DENOK SETIAWATI Dewanti, Maria Setya Dianova, Brainvendra Widi Dita Amelia Dita Amelia, Dita Easyfa Wieldyanisa, Ezha Elly Ana Faizun, Nurin Fajrina, Sofia Fatmawati Fatmawati Fauziah, Nathania FIRMANSYAH, MOCHAMMAD Gunawan, Syifa’ Azizah Putri Herdianto, Muhammad Hendra Hermawan, Mohamad David Idrus Syahzaqi Insania Dewanty, Sanda Jihadi , Hilman Kurniawan Harminsyah Baharuddin Kusuma Wardhana, Feri M. Fariz Fadillah Mardianto M.Riduan Abdillah Mahadesyawardani, Arinda Meliana, Relin Mufida, Amanda Rosidatul Muhammad Setiyawan Najini, Robby Naura, Sheila Sevira Asteriska Nera Umilia Purwanti, Nera Umilia Niam, Mohamad Faiqun Nilasari, Inas Nur Azizah Nur Chamidah Nuraini Purwandari Nuraini, Risa Nurrohmah, Zidni Ilmatun Prastyaningrum, Aprilia Pratiwi, Firda Aulia Previan, Anggara Teguh Rahmanita, Tentri Ryan Reswara, Aqil Azmi Rimuljo Hendradi Riza Firdaus, Muhammad Sa'idah, Andini Sadikin, Adnan Syawal Adilaha Santoso, Rifaldi Wahyu Saputra, Kalvin Sari, Ni Wayan Widya Septia Sediono, Sediono Siagian, Kimberly Maserati Siregar, Naufal Ramadhan Al Akhwal Smith, Khalid Al Hadring Sri Indarti Syalsabila, Regitha Rianda Syarif, Devi Mufidah Titi Darmi Toha Saifudin Ubaidillah, Aziz Ulandari, Kartini Putri Valida, Hanny Vanisa, Davina Shafa Wahyu Subekti, Cahya Arsyika Widyangga, Pressylia Aluisina Putri Widyawati, Ayu Widyawati, Ayu Zulva Wulan Safitri, Wulan Wulandari, Nuryuliana Yasir Hadiani Yuswanita, Lativa