A brief introduction to the geometry of mixed distributions for the study of fractional data
Abstract
In this work we propose to introduce the differential geometry arising in the study of mixed distributions used in the modeling of fractional data. Many authors focus on rates or proportions which are measured on the interval (0, 1). However, there are many situations in which we should include at least one of the extreme points of (0, 1). [...]
Downloads
References
A. Shun-ichi. Information Geometry and Its Applications. Springer Publishing Company, Incorporated, 2018. isbn: 4431567437.
S. Ferrari e R. Ospina. “Inflated beta distributions”. Em: Statistical Papers 51 (2010), pp. 111–126. doi: 10.1007/s00362-008-0125-4.
N. Balakrishnan, N. Johnson e S. Kotz. Continuous univariate distributions. Vol. 1, 2nd Edition, John Wiley e Sons, 1995. isbn: 0471584959.
F. Cribari-Neto e S. Ferrari. “Beta Regression for Modelling Rates and Proportions”. Em: Journal of Applied Statistics 31.7 (2004), pp. 799–815. doi: 10.1080/0266476042000214501.
