I am big fan of the Information-Entropy approach and agree with Information/Geometry approach. This may be of interest to you.-https://www.linkedin.com/posts/chineduecheruo_i-noticed-an-error-in-the-equations-i-previously-activity-7332407014460964864--JHw?utm_source=share&utm_medium=member_android&rcm=ACoAAAAIISIB8mPRUfge1GHR6Z-sqfE0tiv6GRg