“…In reliability, the study of the preservation of stochastic orders under the formation of coherent systems is an important topic that has attracted increasing attention (see Navarro et al, 16,17 Navarro and Gomis, 18 Navarro and del Aguila, 19 Arriaza et al, 20 Navarro and Sordo, 21 Navarro et al, 22 Li and Li, 23 and Navarro and Calì 24 ). In the case of ID components, this is equivalent, in view of (1) and (2), to study the preservation of stochastic orders under distortion functions.…”