A brief introduction to the geometry of mixed distributions for the study of fractional data

Autores

  • Alejandra Rada
  • Cristian Coletti
  • Sandra Zapata

Resumo

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). [...]

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Biografia do Autor

Alejandra Rada

CMCC - UFABC, Santo André, SP

Cristian Coletti

CMCC - UFABC, Santo André, SP

Sandra Zapata

CMCC - UFABC, Santo André, SP

Referências

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.

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Publicado

2023-12-18

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