Modeling to disability and radiation therapy data: Using the Harris extended Zeghdoudi model

Abstract

This article provides a detailed baseline description of vision disability in Saudi Arabia, including the prevalence by administrative area, the total population affected by the disability, and the severity (severe or blind) among those 2 years and older, providing essential demographic data that will help shape national policy and planning initiatives. In addition to this comparison, to assess the validity of the performance of the statistical modeling, the analysis is based on a second data set that serves to reflect the true expected survival rates for patients with head and neck cancer (HNC) treated with chemotherapy and radiation therapy. The Harris extended Zeghdoudi distribution (HEZD) can be considered as an improved version of the Zeghdoudi distribution (ZD), based on the Harris extended generated family of distributions. The probability density curves of HEZD show a great importance of HEZD in assessing disability in the Kingdom of Saudi Arabia and radiation. Researchers have a lot of latitude in designing statistical models for studies that involve disability with radiation data, given that the HRF for HEZD can have increasing functions. Some important characteristics of HEZD are obtained, such as quantile function, moments, MGF, incomplete moments, and order statistics. To estimate the parameters of HEZD, we used data correlated with disabilities and radiation and applied various estimation techniques. To test the efficiency of the proposed distribution, two data sets for the disability ratio in the Kingdom of Saudi Arabia and radiation fields were used. To address the fit in modeling data in increasingly complex fields that include disabilities, the HEZD has been recommended based on its improved fit capabilities.