Kappa-Generalized distribution

Hello TFP community,

I’d like to work on the implementation of the Kappa-Generalized distribution [1-3]. It's based on the one-parameter generalization of the exponential function proposed in [4] and can be used, for instance, to describe the distribution and dispersion of income within a population. As noted by [3], this distribution is able to "describe the whole spectrum of incomes, from the low-middle income region up to the high-income Pareto power-law regime". It can also be applied for epidemiological analysis [5].

Can I work on this task? And any suggestion about how to name this distribution in TFP?

All the best,

[1] Clementi, Fabio, Mauro Gallegati, and G. Kaniadakis. "κ-generalized statistics in personal income distribution." The European Physical Journal B 57.2 (2007): 187-193. Link

[2] Clementi, Fabio, et al. "The κ-generalized distribution: A new descriptive model for the size distribution of incomes." Physica A: Statistical Mechanics and its Applications 387.13 (2008): 3201-3208. Link

[3] Clementi, Fabio, Mauro Gallegati, and G. Kaniadakis. "A κ-generalized statistical mechanics approach to income analysis." Journal of Statistical Mechanics: Theory and Experiment 2009.02 (2009): P02037. Link

[4] Kaniadakis, G. "Non-linear kinetics underlying generalized statistics." Physica A: Statistical mechanics and its applications 296.3-4 (2001): 405-425. Link

[5] Kaniadakis, Giorgio, et al. "The κ-statistics approach to epidemiology." Scientific Reports 10.1 (2020): 1-14. Link

The issue provides research references but names no files, tests, or entry points. Start by identifying the existing TFP distribution implementations and naming conventions, then define the implementation scope and acceptance criteria before work begins.