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

  • Ardi Kurniawan Departement of Mathematics, Faculty of Sains and Technology, Airlangga University, Indonesia
  • Anggara Teguh Previan Departement of Mathematics, Faculty of Sains and Technology, Airlangga University, Indonesia
  • Zidni Ilmatun Nurrohmah Departement of Mathematics, Faculty of Sains and Technology, Airlangga University, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss3pp1795-1802
Keywords: Survival Function, Hazard Function, Survival Data, Exponential Distribution, Breast Cancer

Abstract

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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Published
2023-09-30
How to Cite
[1]
A. Kurniawan, A. Previan, and Z. Nurrohmah, “SURVIVAL FUNCTION AND HAZARD FUNCTION ANALYSIS OF EXPONENTIAL DISTRIBUTION IN TYPE I CENSORED SURVIVAL DATA: A CASE STUDY OF BREAST CANCER PATIENTS”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1795-1802, Sep. 2023.
Issue
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Ardi Kurniawan, Anggara Teguh Previan, Zidni Ilmatun Nurrohmah

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