A new asymmetrical probability model: Its empirical exploration using the price quotations of the ceramic products

• Published in: Alexandria engineering journal 2025-04, Vol.117, p.66-80
• Main Authors: Lin, Tianqing, Shen, Liqun, Aloraini, Najla M., Alkhathami, Alia A., Alshanbari, Huda M., Khalifa, Hamiden Abd El-Wahed
• Format: Article
• Language: English
• Subjects: Asymmetrical data; Asymmetrical distributions; Ceramic products; Price quotations; Statistical modeling; Tangent function; Weibull distribution
• ISSN: 1110-0168
• DOI: 10.1016/j.aej.2025.01.003

The relevance of asymmetrical distributions is highlighted by their proficiency in analyzing natural phenomena, especially in the engineering practice. In light of the relevance of asymmetrical models in engineering applications, this paper enhances the existing body of literature by introducing a novel statistical methodology. This new methodology is referred to as the modified tangent-G (MT-G) method. The MT-G method demonstrates the ability to generate asymmetrical probability distributions. A new model, referred to as the modified tangent-Weibull (MT-Weibull) distribution, is explored within the context of the MT-G framework. Thanks to its flexible nature, the MT-Weibull distribution is proficient in capturing asymmetrical patterns in its density function and can accommodate a range of configurations in its hazard function. The estimation of the parameters associated with the MT-Weibull distribution has been carried out, alongside a simulation study. Additionally, an investigation is conducted focusing on particular properties, notably those based on specific quartiles. The relevance of the MT-Weibull distribution in practical applications is highlighted by the analysis of two asymmetrical data sets obtained from the field of ceramic engineering. The empirical investigation clearly demonstrated that the MT-Weibull distribution is the preferred choice for the data sets associated with ceramic engineering.