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SURVIVAL FUNCTION AND HAZARD FUNCTION ANALYSIS OF EXPONENTIAL DISTRIBUTION IN TYPE I CENSORED SURVIVAL DATA: A CASE STUDY OF BREAST CANCER PATIENTS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 3 (2023) · hlm. 1795–1802

DOI
10.30598/barekengvol17iss3pp1795-1802
ISSN
2615-3017, 1978-7227
Terbit
2023-09-30
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

Breast cancer is the most common cancer in women and the leading cause of cancer-related death in Indonesia. Analysis of survival data is important for improving the treatment and care of breast cancer patients. This study aims to estimate the parameters, find the survival function, and hazard function of breast cancer patients using a parametric method with an exponential distribution. Previous studies have shown that the Maximum Likelihood Estimation (MLE) method is suitable for estimating the survival function from exponential survival data by censoring. In this study, the exponential distribution was found to be the best for data on breast cancer patients from Surabaya Ontology Hospital. The estimated parameters are θ = 33.9157, and the survival function is calculated using The estimated hazard function for patient death or failure is 0.0295. The results of this study can contribute to the development of better treatment and care strategies for breast cancer patients. However, further research is needed because this study only used monthly time units.

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Rekan penulisOrganisasiArtikel bersama
Elly AnaUniversitas Airlangga3
Tentri Ryan RahmanitaUniversitas Airlangga2
Dita AmeliaUniversitas Airlangga2
Toha SaifudinUniversitas Airlangga2
Muhammad Fariz Fadillah MardiantoUniversitas Airlangga2
Atikah FaizaUniversitas Airlangga1
Laili PuspasariUniversitas Airlangga1
Mochammad Bayu FirmansyahUniversitas Airlangga1
Davina Shafa VanisaUniversitas Airlangga1
Adnan Syawal Adilaha SadikinUniversitas Airlangga1
Aqil Azmi ReswaraUniversitas Airlangga1
Ni Wayan Widya Septia SariUniversitas Airlangga1
Gabriella Agnes BudijonoUniversitas Airlangga1
Kimberly Maserati SiagianUniversitas Airlangga1
Adrian Wahyu AbdillahUniversitas Airlangga1
Idrus SyahzaqiUniversitas Airlangga1
Muhammad Rosyid Ridho Az ZuhroUniversitas Airlangga1
Sediono SedionoUniversitas Airlangga1
Muhammad Hafid FauzanUniversitas Airlangga1
Eko Fajar CahyonoUniversitas Airlangga1
Eka Rani FitrianingsihUniversitas Airlangga1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">SURVIVAL FUNCTION AND HAZARD FUNCTION ANALYSIS OF EXPONENTIAL DISTRIBUTION IN TYPE I CENSORED SURVIVAL DATA: A CASE STUDY OF BREAST CANCER PATIENTS</dc:title>
	<dc:creator>Kurniawan, Ardi</dc:creator>
	<dc:creator>Previan, Anggara Teguh</dc:creator>
	<dc:creator>Nurrohmah, Zidni Ilmatun</dc:creator>
	<dc:description xml:lang="en-US">Breast cancer is the most common cancer in women and the leading cause of cancer-related death in Indonesia. Analysis of survival data is important for improving the treatment and care of breast cancer patients. This study aims to estimate the parameters, find the survival function, and hazard function of breast cancer patients using a parametric method with an exponential distribution. Previous studies have shown that the Maximum Likelihood Estimation (MLE) method is suitable for estimating the survival function from exponential survival data by censoring. In this study, the exponential distribution was found to be the best for data on breast cancer patients from Surabaya Ontology Hospital. The estimated parameters are θ = 33.9157, and the survival function is calculated using  &amp;nbsp;The estimated hazard function for patient death or failure is 0.0295. The results of this study can contribute to the development of better treatment and care strategies for breast cancer patients. However, further research is needed because this study only used monthly time units.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/9106</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss3pp1795-1802</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications; 1795-1802</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss3year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/9106/6592</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Ardi Kurniawan, Anggara Teguh Previan, Zidni Ilmatun Nurrohmah</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>