RT journal article
T1 Sufficient conditions for some transform orders based on the quantile density ratio
A1 Arriaza Gómez, Antonio Jesús
A1 Belzunce, Felix
A1 Martínez-Riquelme, Carolina
A2 Estadística e Investigación Operativa
K1 Transform orders
K1 Quantile density function
K1 Unimodality
AB In this paper, we focus on providing sufficient conditions for some transform orders whenever the quantile densities ratio is non-monotone and, therefore, the convex transform order does not hold. These results have interest in comparing random variables with not explicit expression of their quantile functions and/or they are not easy to deal with. In addition, the main results are applied to compare two Tukey generalized distributed random variables and to establish new relationships among non-monotone and positive aging notions.
PB Springer Link
SN 1573-7713
YR 2021
FD 2021
LK http://hdl.handle.net/10498/33239
UL http://hdl.handle.net/10498/33239
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026