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Sediono, Sediono
Department Of Mathematics, Faculty Of Science And Technology, Universitas Airlangga, Jl. Dr. Ir. H. Soekarno, Mulyorejo, Kec. Mulyorejo, Kota Surabaya, Jawa Timur 60115
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Journal : JAMBURA JOURNAL OF PROBABILITY AND STATISTICS

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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 Adinda Tries Melati Aditya, Josephin Viona Ailsa Shafa Salsabila Ainaya Zakiyah Ainaya Zakiyah Nabila Alfredi Yoani Aliffia, Netha Ameliatul 'Iffah Ana, Elly Andriani, Putu Eka Anggakusuma, Aurellia Calista Antonio Nikolas Manuel Bonar Simamora Ardi Kurniawan Ardi Kurniawan Arum Eka Ismiranda Putri Aufa Muhammad Yogi Riyanto Ayuning Dwis Cahyasari Ayuning Dwis Cahyasari Azis, Aurelia Islami Azizah Dewi Ariyani Bagas Maulana Chaerobby Fakhri Fauzaan Purwoko Christopher Andreas Citra Imama Deby Victoria Dewanti, Maria Setya Dhyana Venosia Dhyana Venosia Dita Amelia Dita Amelia Dita Amelia, Dita Dyaksa, Mega Kurnia Effendi, Magdalena Elly Ana Elly Ana Elly Pusporani Eris Tri Kurniawati Faizun, Nurin Ferissa Maulida Ismi Ghasani, Anisah Nabilah Handoko Darmokoesoemo Hani Sudarmanto Hariawan Widi Nugroho Helda Urbhani Rosa Helfira Lady Ari Pramesti Heri Kuswanto Hermawan, Mohamad David I Kadek Pasek Kusuma Adi Putra Idrus Syahzaqi Idrus Syahzaqi Ilma Amira Rahmayanti Khoirun Niswatin Koesnadi, Grace Lucyana Kresna Oktafianto M. Fariz Fadillah Mardianto Marcel Laverda Subiyanto Marcel Laverda Subiyanto Marcelena Vicky Galena Mardianto, M. Fariz Fadillah Mas Loegito Miranda, Ariadna Sopia Naufal Ramadhan Al Akhwal Siregar Nauvaldy, Muhammad Netha Aliffia Noviatus Sholihah Nugroho, Hariawan Widi Nur Chamidah Nurul Fajriah Deswani Sangadji Oktavia, Sabrina Salsa Pratama, Bagas Shata Previan, Anggara Teguh Putri Fardha Asa Oktavia Hans Putri Nur Farida Rahmanita, Tentri Ryan Rahmat Agung Ibrahim Rahmawati, Hasri Rasyid, Mochamad Renianti, Fayza Shafira Salsabylla Nada Apsariny Sasy Okti Karima Sa’idah Zahrotul Jannah Sa’idah Zahrotul Jannah Siagian, Kimberly Maserati Siti Maghfirotul Ulyah Siti Maghfrotul Ulyah Steven Soewignjo Suliyanto Suliyanto Suliyanto Suliyanto, Suliyanto Toha Saifudin Toha Saifudin Trisnadi Widyaleksono Catur Putranto Vionita, Anggi Triya Widyangga, Pressylia Aluisina Putri Wieldyanisa, Ezha Easyfa