Multivariate mixture representations for (weakly) likelihood ratio ordered distributions
A. Olivares Canal, V. Peña Pizarro, M. Jauch
In many applications, domain knowledge often suggests that two distributions should satisfy a stochastic order. Jauch et al. (2023) introduced univariate mixture representations for a distribution function G in terms of F when F <= G with respect to the likelihood ratio order. The ratio of two probability density functions is monotone if and only if one can be expressed as a mixture of one-sided truncations of the other. They proposed a Bayesian nonparametric density estimation model using Dirichlet Process Mixtures to enforce this constraint and applied it to medical data. We extend this framework using the weak likelihood ratio order, a multivariate generalization, first in the bivariate case and then to a full multivariate mixture representation. Additionally, we consider the case of sequences of K+1 stochastically ordered distributions F_0 <= F_1 <=, ..., <= F_K. These extensions enable multivariate Bayesian nonparametric logistic and ordinal regression models.
Palabras clave: Mixture representations, Bayesian methods, Monotone likelihood ratio order, Stochastic order, Regression models
Programado
Sesión de pósters II
13 de junio de 2025 15:30
Foyer principal
Otros trabajos en la misma sesión
E. García Gómez, D. Morales
C. Patino Alonso, M. Gómez Sánchez, L. Gómez Sánchez, S. González Sánchez, C. Agudo Conde
L. Acosta, X. Espuña, J. A. Sanchez-Espigares
D. L. Tarruella Hernández, A. García Molina, J. B. Salom Sanvalero, M. M. Dolcet Negre, M. J. Rivas Lopez
A. García Nogales, P. Perez Fernandez
A. F. Antivilo Bruna, C. Patino Alonso
Á. de Prado Saborido, M. Mirás Calvo, I. Núñez Lugilde, C. Quinteiro Sandomingo, E. Sánchez Rodríguez, A. Bernárdez Ferradás
N. González García, A. B. Nieto Librero
K. Díaz Arias, I. Albarran Lozano, A. Grané Chávez
P. Gargallo Valero, L. Lample Gracia, J. Miguel Álvarez, M. Salvador Figueras
M. Anciones Polo, A. Queiruga-Dios, P. Vicente Galindo, E. Benéitez-Andrés, M. Rodríguez-Rosa