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Open access Sep 2026

Bayesian Inference with binomial removal for type II heavy-tailed Weibull distribution under unified progressive-hybrid censoring: simulation and application

In this manuscript, both classical and Bayesian methods were used to estimate the parameters of the type II Heavy-Tailed Weibull (TII-HTW) distribution under a unified progressive-hybrid censoring scheme (UPHCS) that allows testing to be stopped at a fixed time or after a predefined number of failures, and under random...

E. Hussam, E. Almetwally, T. Taher · 1 citation
Open access Aug 2026

On a New Class of Power-Transformed Bimodal Exponential Distributions with Inferential Procedures and Applications

In this paper, we introduce a new three-parameter lifetime distribution that is obtained via a power transformation of the modified bimodal exponential model. The inclusion of an additional shape parameter significantly enhances the flexibility of the baseline distribution, allowing it to capture a wide range of distri...

I. Alkhairy, Jondeep Das, Laxmi Prasad Sapkota et al. · 0 citations
Open access Sep 2026

A novel inverse statistical distribution: theoretical development with applications to reliability and environmental data

Modeling real-world data is important in engineering, finance, environmental science, and medical science. Probability distributions are widely used to model such data. However, no single distribution can adequately fit all types of data, which creates a need for flexible distributions. In this study, a new extension...

O. Alqasem, A. Gemeay, S. Bashiru et al. · 0 citations
Open access Aug 2026

Efficient Parameter Estimation for the Inverse Power Moment Exponential Model under Ranked Set and Simple Random Sampling with Entropy Measures and Applications

It is challenging to model real-world data with complex features, such as skewness, heavy tails, and high variability, because each one demands a distinct probability density function. For these kinds of data, a variety of statistical models can be applied; the right data type should be chosen. When working with units...

H. Alsuhabi, I. Alkhairy, Meraou Mohammed Amine et al. · 0 citations
Open access Oct 2026

A new quantile regression model for bounded responses: mathematical derivation, estimation, and fitting bounded datasets

Bounded response variables, such as rates, proportions, and indices, frequently arise in the applied sciences and require regression models that respect the unit interval support, rather than relying on Gaussian regression. In this work, we propose a new regression model for continuous bounded data based on the unit...

O. Alqasem, A. Gemeay, D. Alnagar et al. · 0 citations
Open access 2026

A Data-Driven Shrinkage for Efficient Estimation in the Generalized Poisson Regression Model: Simulation and Application

Count data in practice rarely conform to the equidispersion assumption that the standard Poisson regression model imposes. When counts are overdispersed or underdispersed, the generalized Poisson regression model (GPRM) steps in as a more accommodating alternative, extending the classical framework to handle such varia...

F. Almulhim, A. Hammad, E. Hussam et al. · 0 citations

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