Stochastic comparisons of parallel systems with heterogeneous exponentiated half logistic-F components

Abstract

This study endeavors to compare two parallel systems delineated via exponentiated half logistic-F distributions with both identical (F) and non-identical (F₁ and F₂) baseline distribution functions. The comparisons are carried out with respect to the usual stochastic order as well as the reversed hazard rate order through the majorized shape parameters of the distributions.

Keywords:

• Order statistics
• majorization
• reversed hazard rate order
• likelihood ratio order
• stochastic order

AMS 2000 SUBJECT CLASSIFICATION:

• Primary 62N05
• Secondary 60-XX