Many well-known economic assumptions and desired restrictions can be readily established with the proper choice of a coordinate representation system. For example, the homotheticity assumption can be readily established with the polar coordinate system, the concavity restriction with the...

In this paper, the choice of a particular functional form based on the objective of the author is called the subjective model selection rule and the choice of a particular functional form using pre-selected model selection criteria is called the passive model selection rule. The objective of the...

A bottom poor sensitive Gini coefficient (pgini) is defined by replacing income observations with their reciprocal values in the Gini coefficient. The underlying true income share function can be derived approximately using the maximum entropy method given the pgini coefficient.