@misc{10498/33239, year = {2021}, url = {http://hdl.handle.net/10498/33239}, abstract = {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.}, publisher = {Springer Link}, keywords = {Transform orders}, keywords = {Quantile density function}, keywords = {Unimodality}, title = {Sufficient conditions for some transform orders based on the quantile density ratio}, doi = {10.1007/S11009-019-09740-6}, author = {Arriaza Gómez, Antonio Jesús and Belzunce, Felix and Martínez-Riquelme, Carolina}, }