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Journal : JAMBURA JOURNAL OF PROBABILITY AND STATISTICS

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 Abdilah, Nurullah Asep Abdillah, Adrian Wahyu Adma Novita Sari Adnan Syawal Adilaha Sadikin Adriansyah, Muhammad Haykal Afifa, Fitriana Nur Aflaha, Nabila Shafa Agnes Happy Julianto Agustiansyah, Lucky Dita Ahmad Saddam Hussein Ain, Dzuria Hilma Qurotu Aini Divayanti Arrofah Aldawiyah, Najwa Khoir Aldawiyah, Najwa Khoir Alfredi Yoani Aliffia, Netha Almira Sophie Syamsudin Alya Rahma Inneztiana Amalia, Nadinta Kasih Amalia, Rica Ana, Elly Andi Vania Ghalliyah Putrie Andri Tri Cahyono Andriani, Putu Eka Anggriawan, Muhammad Rizal Anggriawan, Muhammad Rizal Annisa Putri Nayumi Antonio Nikolas Manuel Bonar Simamora Antonio Nikolas Manuel Bonar Simamora Anwari, Anwari Apidianti, Sari Pratiwi Aprilia Prastyaningrum Ardi Kurniawan Ardi Kurniawan Ariyawan, Jovansha Arum Eka Ismiranda Putri Astuti, Aprillia Audilla, Marfa Aulia Ramadhanti Aulia, Niswa Faizah Ayu Safitri Ayuning Dwis Cahyasari Ayuning Dwis Cahyasari Azzah Nazhifa Wina Ramadhani Bimo Okta Syahputra Bintang Alyaa Sabila Br Pangaribuan, Fani Agustina Budijono, Gabriella Agnes Chaerobby Fakhri Fauzaan Purwoko Chairunnisa, Nurul Rizky Christopher Andreas Citra Imama Cynthia Anggelyn Siburian Darmawan, Kezia Eunike Davina Shafa Vanisa Deshinta Arrova Dewi Devayanti Anugerahing Husada Dewanty, Sanda Insania Dewi, Berlianti Alisa Dewi, Deshinta Arrova Disty Ridha Hastuti Dita Amelia Dita Amelia Dita Amelia, Dita Doni Muhammad Fauzi Dwiyanto, Adelia Sukma Dyah Rohma Wati Efan Yudha Winata Eko Fajar Cahyono, David Kaluge Elly Ana Elly Ana Elly Ana Elly Ana Elly Anna Elly Pusporani Elok Zubaidah Eris Tri Kurniawati Erlina Anggraini Erlina Anggraini, Erlina Faisol Faisol Faisol, Faisol Faizun, Nurin Fajar Hidayanto, Fajar Faradilla Harianto Farah Fauziah Putri Farizi, Muhammad Fikry Al Fauzan, Muhammad Hafid Fauzi, Doni Muhammad Febriyani, Eka Riche Fernanda Desmak Pertiwi Firda Aulia Pratiwi Firman Rezaldi Fitri, Marfa Audilla Fitria Eka Resti Wijayanti Fitrianingsih, Eka Rani Fitriyani, Mubadi’ul Fortunata, Regina Ghasani, Anisah Nabilah Girsang, Anne Vinella Grace Lucyana Koesnadi Haq, Affan Fayzul Hari Hariadi, Hari Hasanah, Sarmiatul Helda Urbhani Rosa Hermawan, Mohamad David Humaira, Edla Putri I Kadek Pasek Kusuma Adi Putra I Nyoman Budiantara Immanuel Alexander Sirait Indrasta, Irma Ayu Inneztiana, Alya Rahma Ira Yudistira Isna Nurul Izza Amalia Junaedi, Candra Karina Rubita Makhbubah Karina Tri Handayani Koesnadi, Grace Lucyana Koesnadi, Grace Lucyana Kresna Oktafianto Kurnia, Rizky Dwi Kusuma, Shalwa Oktavia Kusumasari Kartika Hima Darmayanti Kuzairi Leni Halimatusyadiah Lu'lu'a, Na'imatul Lu’lu’a, Na’imatul M. 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