ON AXIAL WRAPPED EXPONENTIAL DISTRIBUTION WITH ESTIMATION AND APPLICATION

This paper applies a wrapped exponential distribution to the axial domain for arcs of arbitrary lengths. Furthermore, we provide a closed-form expression for the characteristic function of the l-axial wrapped exponential distribution. We conduct a comprehensive analysis of population characteristics, parameter estimation techniques, and simulation studies, focusing primarily on the semicircular exponential distribution. Additionally, we discuss the practical applicability of this distribution to real-world datasets.