An Extension of a Result on the Relationship Between Conditional and Unconditional Independence

P. Pérez Fernández, A. García Nogales

A result by the same authors relating conditional and unconditional independence is generalized. The mentioned result, part of a paper by Nogales and Pérez (2019, to appear in Statistica Neerlandica), uses conditional distribution of a Markov kernel given another (see Nogales (2013, Statistics and Probability Letters)) to obtain a minimal condition which added to a conditional independence implies another conditional independence in some special case. Namely, the conditional independence between some Markov kernels (in fact, the cited Markov kernels are conditional distributions between the concerned random variables) is used to obtain a minimal condition which added to conditional independence of X and Y given Z implies the conditional independence of X and Y given U, provided U is a function of Z.

Keywords: Conditional independence, Markov kernels

PO-1 Poster Session
September 4, 2019  10:40 AM
Multifunctional room. Carbonell building

A. García Galindo, O. González Velasco, J. M. Sánchez Santos, J. De Las Rivas Sanz, E. Sánchez Luis

C. E. Carleos Artime, N. Corral Blanco, S. Álvarez Morán, A. Shatla

P. Román Román, S. Román- Román, J. J. Serrano Pérez, F. Torres Ruiz

I. Morillo, L. Bermúdez, D. Karlis

R. Caballero Águila, A. Hermoso Carazo, J. Linares Pérez

R. Caballero Águila, D. A. Hermoso Carazo, D. J. Linares Pérez

M. J. García-Ligero Ramírez, M. A. Hermoso Carazo, J. Linares Pérez

R. Caballero Águila, M. A. Hermoso Carazo, J. Linares Pérez

J. A. Cristóbal Cristóbal, P. Olave

A. Vaamonde Liste, M. Meijide Vecino, P. Muñoz Dueñas

A. Pérez-González, T. R. Cotos Yáñez, W. González–Manteiga, R. M. Crujeiras

A. V. García Luengo, I. Oña Casado

R. Mata Crespo

L. Davila Pena, B. Casas Méndez

T. R. Cotos Yáñez, M. A. Mosquera Rodríguez, A. Pérez González, B. Reguengo Lareo

J. García Rodríguez, B. Sinova Fernández, C. E. Carleos Artime

A. García Nogales, P. Pérez Fernández

C. González Martín, A. Sedeño Noda

S. A. Mulema, A. Carrión García