Abstract
This chapter presents an application of random variables in the analysis and decision problems for a static plant. In the parametric case, the unknown parameters in the function or in the relation describing the plant are assumed to be values of random variables with the given probability distributions. In the non-parametric case, the plant is described by the given conditional probability distribution. The foundations of random variables and probabilistic theory are presented in many books in this classical area (see e.g. [66, 73, 94]). In Sect. 1.1, a very short description of random variables is given to introduce the notation and to bring together formalisms concerning random, uncertain and fuzzy variables in a unified framework.
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© 2004 Springer-Verlag London
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Bubnicki, Z. (2004). Application of Random Variables. In: Analysis and Decision Making in Uncertain Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-3760-3_3
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DOI: https://doi.org/10.1007/978-1-4471-3760-3_3
Publisher Name: Springer, London
Print ISBN: 978-1-84996-909-3
Online ISBN: 978-1-4471-3760-3
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