Author:
D’Amico Guglielmo,Scocchera Stefania,Storchi Loriano
Abstract
The software Randentropy is designed to estimate inequality in a random system where several individuals interact moving among many communities and producing dependent random quantities of an attribute. The overall inequality is assessed by computing the Random Theil’s Entropy. Firstly, the software estimates a piecewise homogeneous Markov chain by identifying the change-points and the relative transition probability matrices. Secondly, it estimates the multivariate distribution function of the attribute using a copula function approach and finally, through a Monte Carlo algorithm, evaluates the expected value of the Random Theil’s Entropy. Possible applications are discussed as related to the fields of finance and human mobility.
Subject
Applied Mathematics,Information Systems,General Medicine
Reference36 articles.
1. On the dynamic cumulative residual entropy;Journal of Statistical Planning and Inference,2007
2. RTransferEntropy—quantifying information flow between different time series using effective transfer entropy;SoftwareX,2019
3. Properties for generalized cumulative past measures of information;Probability in the Engineering and Informational Sciences,2020
4. A measure of the concentration of rare events;Scientific Reports,2016
5. Generalized concentration/inequality indices of economic systems evolving in time;Wseas Transactions on Mathematics,2010