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In this paper we deal with conditional aggregation-based survival functionsrecently introduced by Boczek et al. (2020). The concept is worth to studybecause of its possible implementation in real-life situations and mathematicaltheory as well. The aim of this paper is the comparison of this new notion withthe standard survival function. We state sufficient and necessary conditionsunder which the generalized and the standard survival function equal. The mainresult is the characterization of the family of conditional aggregationoperators (on discrete space) for which these functions coincide.

Survival functions versus conditional aggregation-based survival functions on~discrete~space