Estimation of failure rate for communication disability and irradiated mint data: Using the heavy-tailed generalized inverse exponential distribution

This article provides a comprehensive analysis of Saudi Arabia’s communication challenges, evaluating their prevalence, impact, and the role that Vision 2030 has played in addressing this important problem. Data sets related to communication disabilities are difficult and Irradiated mint to model well because of their complex structure, which frequently shows skewness and unpredictability. This intricacy can occasionally be overlooked by standard probability distributions, leading to erroneous results. The heavy-tailed generalized inverse exponential distribution (HTGIED) represents an enhanced iteration of the generalized inverse exponential distribution (GIED), utilizing a heavy-tailed approach to effectively address these issues. The probability density curves of HTGIED indicate significant applications in the evaluation of communication disability within the Kingdom of Saudi Arabia and Irradiated mint data. Researchers possess considerable flexibility in developing statistical models for studies focused on communication difficulties, as the hazard rate function (HRF) for the HTGIED can exhibit increasing and decreasing trends. We used data on communication disabilities and irradiated mint to estimate the parameters of HTGIED. In addition, we assess its reliability and hazard rate functions through the application of the maximum likelihood method. Asymptotic confidence intervals are calculated and evaluated against bootstrap-p and bootstrap-t methodologies. The effectiveness of the proposed distribution was evaluated using five data sets relating to communication difficulties in the Kingdom of Saudi Arabia and irradiated mint data. The HTGIED is recommended for data modeling in fields that encompass communication disabilities, due to its enhanced fit capabilities. Furthermore, several significant properties of HTGIED are computed, including moments, inverse moments, harmonic mean, reliability metrics, and incomplete moments.