Statistical Properties and Applications of a New Truncated Zubair- Generalized Family of Distributions
This paper proposed a truncated family of probability distributions named the doubly truncated Zubair-generalized family of truncated distributions. Certain properties of doubly truncated Zubair-Generalized family of truncated distributions are worked on. These properties are the quantile, median, the non-central moments, central moments, order statistics, entropy measures such as R$\acute{e}$nyi, Shannon, Tsallis entropies, also the mean […]
A New Logarithmic Tangent-U Family of Distributions with Reliability Analysis in Engineering Data
This article introduces a new family of distributions through the transformation involving tangent functions, referred to as the New Logarithmic Tangent-U family. The newly introduced family may be written as the NLT-U family of distribution. An overview of fundamental characteristics inherent to the proposed family of distributions is provided. We derived a special sub-model of […]
Statistical Analysis of Alpha-Power Exponential Distribution Using Unified Hybrid Censored Data and Its Applications
A new extended exponential distribution called the alpha-power exponential (APE) distribution is widely used for modeling various data compared to three well-known models, namely Weibull, gamma, and generalized-exponential distributions. This paper provides several approaches for estimating the APE parameters, reliability, and hazard rate functions using both classical and Bayesian methods when dealing with unified hybrid […]
A New Biased Estimation Class to Combat the Multicollinearity in Regression Models: Modified Two–Parameter Liu Estimator
The multicollinearity problem occurrence of the explanatory variables affects the least-squares (LS) estimator seriously in the regression models. The multicollinearity adverse effects on the LS estimation are also investigated by many authors. Instead of the LS estimator, we propose a new modified two–parameter Liu (MTPL) estimator to handle the multicollinearity for the regression model based […]
Bayesian and E-Bayesian Estimation of Gompertz Distribution in Stress-Strength Reliability Model under Partially Accelerated Life Testing
A reliability experiment is a crucial determinant of a component’s success, as it simulates the effects of aging and usage by exposing the component in a system to higher levels of stress or wear. Consequently, assessments of the component’s performance and its capacity to satisfy consumers are conducted. This study aims to estimate the stress-strength […]