  It has been pointed out by Patriarca et al. (2005) that the power-law tailed
equilibrium distribution in heterogeneous kinetic exchange models with a
distributed saving parameter can be resolved as a mixture of Gamma
distributions corresponding to particular subsets of agents. Here, we propose a
new four-parameter statistical distribution which is a $\kappa$-deformation of
the Generalized Gamma distribution with a power-law tail, based on the deformed
exponential and logarithm functions introduced by Kaniadakis(2001). We found
that this new distribution is also an extension to the $\kappa$-Generalized
distribution proposed by Clementi et al. (2007), with an additional shape
parameter $\nu$, and properly reproduces the whole range of the distribution of
wealth in such heterogeneous kinetic exchange models. We also provide various
associated statistical measures and inequality measures.
