%0 Journal Article %A Arriaza Gómez, Antonio Jesús %A Belzunce, Felix %A Martínez-Riquelme, Carolina %T Sufficient conditions for some transform orders based on the quantile density ratio %D 2021 %@ 1573-7713 %U http://hdl.handle.net/10498/33239 %X 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. %K Transform orders %K Quantile density function %K Unimodality %~ Universidad de Cádiz