Modeling bladder cancer survival function based on neutrosophic inverse Gompertz distribution

Oday Esam Al-Saqal ¹, Zeina Ameer Hadied ², Zakariya Yahya Algamal ^3,*

¹ Department of Sharia, University of Mosul, Mosul, Iraq.

² University of Mosul, Mosul, Iraq.

³Department of Statistics and Informatics, University of Mosul, Mosul, Iraq.

Emails: Oday.esam@ uomosul.edu.iq; zena_saeed@uomosul.edu.iq; zakariya.algamal@uomosul.edu.iq

Abstract

In the field of survival analysis, the inverse Gompertz distribution is used to mimic human lifetime data patterns. The goal of the neutrosophic inverse Gompertz distribution (NIGD) is to describe a range of indeterminate survival data. The defined distribution is very helpful for modeling somewhat positively skewed unknown data. The main statistical characteristics of the created NIGD, such as the neutrosophic moments, hazard rate, and survival function, are covered in this paper. Additionally, the well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. A simulation study is conducted to see whether the projected neutrosophic parameters were reached. Not to mention that possible real-world uses of NIGD have been discussed using actual data. To show how well the suggested model performed in comparison to the present distributions, real data were used.

Keywords: Survival analysis; Neutrosophic statistics; bladder cancer; inverse Gompertz distribution; hazard function.