1 research outputs found
Survival functions versus conditional aggregation-based survival functions on~discrete~space
In this paper we deal with conditional aggregation-based survival functions
recently introduced by Boczek et al. (2020). The concept is worth to study
because of its possible implementation in real-life situations and mathematical
theory as well. The aim of this paper is the comparison of this new notion with
the standard survival function. We state sufficient and necessary conditions
under which the generalized and the standard survival function equal. The main
result is the characterization of the family of conditional aggregation
operators (on discrete space) for which these functions coincide