Journal of Mathematics and Scientific Computing With Applications
Vol. 7 No. 1 (2026)

TYPE II CENSORED EXPONENTIAL DISTRIBUTION FOR ESTIMATING SURVIVAL AND LIFE EXPECTANCY IN BLADDER CANCER PATIENTS

Idrus Syahzaqi (Department of Mathematics, Universitas Airlangga, Surabaya, Indonesia)
Ardi Kurniawan (Department of Mathematics, Universitas Airlangga, Surabaya, Indonesia)
Nazwa Salsabila (Department of Mathematics, Universitas Airlangga, Surabaya, Indonesia)
Dinar Rahma Fauzia (Department of Mathematics, Universitas Airlangga, Surabaya, Indonesia)
Diah Ayu Nofitasari (Department of Mathematics, Universitas Airlangga, Surabaya, Indonesia)



Article Info

Publish Date
15 Aug 2026

Abstract

Bladder cancer incidence and mortality continue to rise, yet global studies on bladder cancer survival prediction remain dominated by nomogram and Cox regression-based approaches overlooking Type II censoring. Using secondary data from 80 bladder cancer patients (48 uncensored, 32 Type II censored) from a public cBioPortal repository, this study applied the Type II censored exponential distribution, selected for its memoryless property and constant hazard rate, to estimate the survival function, hazard function, confidence interval, and Mean Time to Failure (MTTF). Descriptive statistics, a goodness-of-fit test, and maximum likelihood estimation were applied. The data followed an exponential distribution with a mean survival time of 33.95 months, an estimated parameter of 38.01 months, a hazard rate of 0.026, and an MTTF of 38.02 months, with a 95% CI of 29.35-51.56 months. These findings offer preliminary insight relevant to clinical decision-making and SDG Target 3.4 on reducing premature mortality from non-communicable diseases.

Copyrights © 2026






Journal Info

Abbrev

jmscowa

Publisher

Subject

Mathematics

Description

Journal of Mathematics and Scientific Computing With Applications is a broad-based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. It covers all major areas, such as numerical ...