  This paper explores several types of income which have not been explored so
far by authors who tackled income and wealth distribution using Statistical
Physics. The main types of income we plan to analyze are income before
redistribution (or gross income), income of retired people (or pensions), and
income of active people (mostly wages). The distributions used to analyze
income distributions are Fermi-Dirac distribution and polynomial distribution
(as this is present in describing the behavior of dynamic systems in certain
aspects). The data we utilize for our analysis are from France and the UK. We
find that both distributions are robust in describing these varieties of
income. The main finding we consider to be the applicability of these
distributions to pensions, which are not regulated entirely by market
mechanisms.
