Browsing by Subject "Transform orders"

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    Sufficient conditions for some transform orders based on the quantile density ratio
    (Springer Nature, 2019-09-11) Arriaza, Antonio; Belzunce Torregrosa, Félix; Martínez Riquelme, Carolina; Estadística e Investigación Operativa; Facultad de Matemáticas
    In this paper we focus on providing sufficient conditions for some transform orders for which the quantile densities ratio is non-monotone and, therefore, the convex transform order does not hold. These results are interesting for comparing random variables with a non-explicit expression of their quantile functions or they are computationally complex. 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.