RT journal article
T1 On a new multivariate IFR ageing notion based on the standard construction
A1 Arriaza Gómez, Antonio Jesús
A1 Belzunce, Felix
A1 Mulero, Julio
A1 Suárez Llorens, Alfonso
A2 Estadística e Investigación Operativa
K1 Standard Construction
K1 Multivariate Distributional Transform
K1 Multivariate Convex Transform Order
K1 Multivariate IFR distributions
AB Many criteria of ageing for random variables or vectors have been proposed in the literature over many years. For instance, a random variable is increasing in failure rate (IFR) if, and only if, it can be ordered with an exponentially distributed random variable in the univariate convex transform order proposed by van Zwet [35]. Recently, Belzunce et al. [9] introduced a multivariate generalization of the convex transform order. In this work, we proposed a new multivariate IFR notion for multivariate distributions based on comparisons in this new order with a properly defined exponentially distributed random vector. Properties, applications and illustrations of this new notion are given as well.
PB Wiley
SN 1524-1904
YR 2016
FD 2016
LK http://hdl.handle.net/10498/33243
UL http://hdl.handle.net/10498/33243
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026