Intersections: Jurnal Pendidikan matematika dan matematika
Vol 4 No 2 (2019): Intersections : Jurnal Pendidikan Matematika dan Matematika

### Estimasi Fungsi Survival dan Fungsi Hazard Kumulatif Pada Data Survival Pederita Multiple Myeloma Serta Faktor-faktor yang Mempengaruhi Waktu Survivalnya

Toto Hermawan (Universitas Cokroaminoto Yogyakarta)
Dwi Nurrohmah (Universitas Cokroaminoto Yogyakarta)
Ismi Fathul Jannah (Universitas Cokroaminoto Yogyakarta)

Publish Date
01 Aug 2019

#### Abstract

Multiple myeloma is an infectious disease characterized by the accumulation of abnormal plasma cells, a type of white blood cell, in the bone marrow. The main objective of this data analysis is to investigate the effect of Bun, Ca, Pcells and Protein risk factors on the survival time of multiple myeloma patients from diagnosis to death. In the survival data analysis, the observed random variable T is the time needed to achieve success. To explain a random variable, the cumulative distribution function or the probability density function can be used. In survival analysis, the function of the random variable that becomes important is the survival function and the hazard function which can be derived using the cumulative distribution function or the probability density function. In general, it is difficult to determine the survival function or hazard function of a population group with certainty. However, the survival function or hazard function can still be approximated by certain estimation methods. The Kaplan-Meier method can be used to find estimators of the survival function of a population. Meanwhile, to find the estimator of the cumuative hazard function, the Nelson-Aalen method can be used. From the variables studied, it turned out that the one that gave the most significant effect was the Bun variable, namely blood urea nitrogen levels using both the exponential and weibull distribution. However, by using the weibull distribution, the presence of Bence Jones Protein in urine also has a quite real effect

Journal Info

Abbrev

intersections

Publisher

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Education Mathematics

Description

The journal invites original research articles and not simultaneously submitted to another journal or conference. The whole spectrum of research in mathematics education are welcome, which includes, but is not limited to the following topics: Realistic Mathematics Education (RME) Realistic ...