A new statistical approach for modeling the bladder cancer and leukemia patients data sets: Case studies in the medical sector

1.
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
3.
Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran
4.
Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt
5.
Department of Statistics and Operation Research, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia
6.
Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
7.
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan

Academic Editor: Zhichang Zhang

Received: 04 May 2022 Revised: 30 June 2022 Accepted: 13 July 2022 Published: 25 July 2022

Statistical methods are frequently used in numerous healthcare and other related sectors. One of the possible applications of the statistical methods is to provide the best description of the data sets in the healthcare sector. Keeping in view the applicability of statistical methods in the medical sector, numerous models have been introduced. In this paper, we also introduce a novel statistical method called, a new modified-$ G $ family of distributions. Several mathematical properties of the new modified-$ G $ family are derived. Based on the new modified-$ G $ method, a new updated version of the Weibull model called, a new modified-Weibull distribution is introduced. Furthermore, the estimators of the parameters of the new modified-$ G $ distributions are also obtained. Finally, the applicability of the new modified-Weibull distribution is illustrated by analyzing two medical sets. Using certain analytical tools, it is observed that the new modified-Weibull distribution is the best choice to deal with the medical data sets.
- Weibull distribution,
- family of distribution,
- healthcare sector,
- bladder cancer,
- leukemia,
- statistical modeling
Citation: Mahmoud El-Morshedy, Zubair Ahmad, Elsayed tag-Eldin, Zahra Almaspoor, Mohamed S. Eliwa, Zahoor Iqbal. A new statistical approach for modeling the bladder cancer and leukemia patients data sets: Case studies in the medical sector[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 10474-10492. doi: 10.3934/mbe.2022490

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Abstract

Statistical methods are frequently used in numerous healthcare and other related sectors. One of the possible applications of the statistical methods is to provide the best description of the data sets in the healthcare sector. Keeping in view the applicability of statistical methods in the medical sector, numerous models have been introduced. In this paper, we also introduce a novel statistical method called, a new modified-$ G $ family of distributions. Several mathematical properties of the new modified-$ G $ family are derived. Based on the new modified-$ G $ method, a new updated version of the Weibull model called, a new modified-Weibull distribution is introduced. Furthermore, the estimators of the parameters of the new modified-$ G $ distributions are also obtained. Finally, the applicability of the new modified-Weibull distribution is illustrated by analyzing two medical sets. Using certain analytical tools, it is observed that the new modified-Weibull distribution is the best choice to deal with the medical data sets.

References

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