RT journal article
T1 Preservation of some stochastic orders by distortion functions with application to coherent systems with exchangeable components
A1 Arriaza Gómez, Antonio Jesús
A1 Sordo Díaz, Miguel Ángel
A2 Estadística e Investigación Operativa
K1 Stochastic orders
K1 Reliability
K1 Copula
K1 Distorted distributions
K1 Coherent systems
AB The preservation of stochastic orders by distortion functions has become a topic of increasing interest in the reliability analysis of coherent systems. The reason of this interest is that the reliability function of a coherent system with identically distributed components can be represented as a distortion function of the common reliability function of the components. In this framework, we study the preservation of the excess wealth order, the total time on test transform order, the decreasing mean residual live order and the quantile mean inactivity time order by distortion functions. The results are applied to study the preservation of these stochastic orders under the formation of coherent systems with exchangeable components.
PB Wiley
SN 1526-4025
YR 2021
FD 2021
LK http://hdl.handle.net/10498/33240
UL http://hdl.handle.net/10498/33240
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026