This paper introduces a new two-parameter distribution, referred to as the Shiha distribution, which provides a flexible model for skewed lifetime data with either heavy or light tails. The proposed distribution is applicable to various fields, including reliability engineering, environmental studies, and related areas. We derive its main statistical properties, including the moment generating function, moments, hazard rate function, quantile function, and entropy. The stress--strength reliability parameter is also derived in closed form. A simulation study is conducted to evaluate its performance. Applications to several real data sets demonstrate that the Shiha distribution consistently provides a superior fit compared with established competing models, confirming its practical effectiveness for lifetime data analysis.

翻译：本文提出一种新的双参数分布，称为Shiha分布，该分布为具有重尾或轻尾特征的偏态寿命数据提供了灵活的建模框架。所提出的分布适用于可靠性工程、环境研究及相关领域的多种场景。我们推导了其主要统计特性，包括矩生成函数、各阶矩、风险率函数、分位数函数及熵度量。应力-强度可靠性参数亦以闭合形式导出。通过模拟研究评估了其统计性能。多个实际数据集的实证应用表明，与现有竞争模型相比，Shiha分布始终展现出更优的拟合效果，证实了其在寿命数据分析中的实用价值。