Choosing Between Link Functions for Median Parametric Regression Model Utilizing Median Base Unit Rayleigh Distribution

This study vividly explores the realm of parametric quantile regression through the lens of the innovative Median Based Unit Rayleigh (MBUR) distribution, a cutting-edge one-parameter model that opens new avenues for statistical analysis. The estimation process unfolds through a sleekly re-parameterized maximum likelihood function, illustrated with an engaging real-world dataset that breathes life into the theory. In addition, the author embarks on a thorough investigation into inference and goodness of fit, providing a vivid tapestry of insights that highlights the strength and versatility of the MBUR distribution. The potential of the MBUR distribution to transform the analytical approach is widely recognized and embraced.