Quantile Based Summation of Random Variables

• Authors: EMIR Kadir; KRUML David; PASEKA Jan; SELINGEROVÁ Iveta
• Year of publication: 2021
• Type: Article in Proceedings
• Conference: Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
• MU Faculty or unit: Faculty of Science
• Web: https://doi.org/10.2991/asum.k.210827.069
• Doi: http://dx.doi.org/10.2991/asum.k.210827.069
• Keywords: Fuzzy probability; production plan; reliability in manufacturing; aggregation of random effects; order statistics; quantile estimation
• Description: A simplified calculus for aggregation of random variables is derived. The calculus provides a fast and simple estimation of a given quantile. It can be applied for testing of desired reliability of a production plan.

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