Neutrosophic Beta-Lindley distribution: Mathematical properties and modeling bladder cancer data

Zakariya Yahya Algamal¹^,*, Nada Nazar Alobaidi², Abed Ali Hamad³, Mazin M. Alanaz⁴, Marwah Yahya Mustafa⁵

¹ Department of Statistics and Informatics, University of Mosul, Mosul, Iraq. ²Department of Statistics and Informatics, University of Mosul, Mosul, Iraq. ³Department of Economics, College of Administration and Economics, University of Anbar, Anbar, Iraq.

⁴Department of Operation Research and Intelligence Techniques, University of Mosul, Iraq. ⁵Department of Statistics and Informatics, University of Mosul, Mosul, Iraq

Emails: zakariya.algamal@uomosul.edu.iq; nada-nazar1984@uomosul.edu.iq; mazinalanaz@uomosul.edu.iq; abidh1965@uoanbar.edu.iq; marwa.yahya@uomosul.edu.iq;

Abstract

The beta-Lindley distribution is used in the field of survival analysis to imitate techniques employed with human lifetime data. The neutrosophic beta-Lindley distribution (NBL) is designed to characterize a range of survival statistics with indeterminacies. The established distribution is used, for instance, to describe unknown data that is roughly favorably skewed. The evolved NBL's three main statistical characteristics—the neutrosophic moments, hazard, and survival functions are covered in this article. Additionally, The well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. To check if the predicted neutrosophic parameters were met, a simulation study was done. Notably, talks of prospective NBL uses in the real world have made use of actual data. Actual data were utilized to show how well the suggested model performed in compared to the current distributions.

Keywords: Bladder cancer; survival analysis; beta- Lindley distribution; neutrosophic statistics; hazard function.