Potatoes, known for their nutritional value and versatility, have been a staple food in many cultures for centuries. Their adaptability to various climates and culinary uses makes them an essential crop worldwide. Inspired by this versatility, this study explores a novel distribution model that mirrors the multifaceted nature of the potato. The research was motivated by the appeal and adaptability of a distribution family, which utilizes a trigonometric generator along with the proven effectiveness of the Rayleigh distribution in various real-world datasets. This compound distribution combines the Rayleigh distribution with the Sine Type II Topp-Leone family, resulting in the Sine Type II Topp-Leone family of distributions. Potatoes have not only provided sustenance but also inspired numerous studies on agricultural innovation and food security, underscoring their global importance. Additionally, they have been a focal point in discussions about sustainable farming practices and crop diversity. A simulation study was carried out to evaluate the reliability of the suggested model. As expected, with larger sample sizes, the estimators converged towards the true parameter values, and both the root mean square error and bias decreased accordingly. Additionally, an exploratory data analysis was performed on the dataset to investigate its characteristics, revealing varying degrees of skewness. The suggested model was applied to these datasets and compared with existing distributions. The results showed that the suggested model outperforms its competitors, demonstrating its superior flexibility.
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