FERMI-DIRAC STATISTICS DISTRIBUTION MODELLING IN MACROECONOMICS SYSTEM OF INDONESIA

• Main Author: Abraar Abhirama, Muhammad
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/72910
• Institution: Institut Teknologi Bandung

This thesis discusses about the modelling of Fermi-Dirac statistics distribution on the distribution of household income, a parameter of income inequality in some country. The purposes of this research are; To prove the analogy between particle distribution in statistical mechanics and income distribution, To determine the level of fit of the Fermi-Dirac statistics distribution in modelling macroeconomic system of Indonesia by comparing the result to the macroeconomic system of a developing country (Singapore) and developed country (USA), and To visualize the similarity of the distribution behaviour between Lorenz curve - a parameter of income distribution - and Fermi-Dirac statistics distribution. Income distribution data of each country are taken from each country's official statistics bureau. The results show that the behaviour of macroeconomics system act like an isolated system of thermodynamics and transaction of money is analogous to the collision of particles. From the macro point of view and with reasonable inequality level, Fermi-Dirac statistics distribution is quite accurate and fit in modelling the Lorenz curve of Singapore and USA. Otherwise, Fermi-Dirac Statistics is not quite fit in modelling income inequality in Indonesia since the level of income inequality in Indonesia is burdensome, causing the inability of Gini coefficient to describe inequality of income distribution. The small value of fitting coefficient for Indonesia is due to the assumption obtained from the data stating that household income is linear to the household expenditure, followed by the big amount of noise, error, and standard deviation from the data.