Artigo
The Poisson-exponential regression model under different latent activation schemes
Fecha
2012-01-01Registro en:
Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 31, n. 3, p. 617-632, 2012.
1807-0302
10.1590/S1807-03022012000300010
S1807-03022012000300010
WOS:000311807600010
S1807-03022012000300010.pdf
5267593860042306
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Resumen
In this paper, a new family of survival distributions is presented. It is derived by considering that the latent number of failure causes follows a Poisson distribution and the time for these causes to be activated follows an exponential distribution. Three different activationschemes are also considered. Moreover, we propose the inclusion of covariates in the model formulation in order to study their effect on the expected value of the number of causes and on the failure rate function. Inferential procedure based on the maximum likelihood method is discussed and evaluated via simulation. The developed methodology is illustrated on a real data set on ovarian cancer. Mathematical subject classification: 62N01, 62N99.