Kriegesmann, BenediktBenediktKriegesmannLüdeker, Julian KajoJulian KajoLüdeker2022-05-172022-05-172021-05arXiv: 2105.12230 (2021)http://hdl.handle.net/11420/12628This paper shows a simple parameter substitution, which makes use of the reciprocal relation of typical objective functions with typical random parameters. Thereby, the accuracy of first-order probabilistic analysis improves significantly at almost no additional computational cost. The parameter substitution requires a transformation of the stochastic distribution of the substituted parameter, which is explained for different cases.enhttps://creativecommons.org/licenses/by-nc-nd/4.0/Probabilistic analysis | first-order | reciprocal approximationTechnology::600: TechnologyPreprinthttps://doi.org/10.15480/882.1414710.48550/arXiv.2105.1223010.15480/882.141472105.12230Preprint