The cosine-sine model: Dual generalized order statistics, characterization, and estimation methods with applications to physics and radiation

Abstract

The Cosine-Sine (CS) distribution with constrained support was recently introduced by Abd El-Bar et al., (2021). This model may exhibit increased and bathtub-shaped hazard rates. This model presents the distribution of dual generalized order statistics and characterization findings using truncated moments. We also provide many traditional methods for calculating the CS estimator. Furthermore, we have analyzed the behavior of the CS model parameter using randomly generated data sets and these estimation techniques. Ultimately, we use two distinct datasets about physics and radiation to demonstrate the relevance of the CS distribution in data modeling. The novel model demonstrates an acceptable match relative to other established models in the current research literature. This illustrates the potential of the CS distribution as a powerful instrument in data analysis in the domain of physics and radiation.