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@@ -32,6 +32,12 @@ We'll use the following concepts and tools:

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* fault tree analysis for approximating a failure rate of a multi-component system

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* a hierarchical probability model for describing uncertain probabilities

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* Fourier transforms and inverse Fourier tranforms as efficient ways of computing convolutions of sequences

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For more about Fourier transforms see this quantecon lecture [Circulant Matrices](https://python.quantecon.org/eig_circulant.html)

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as well as these lecture [Covariance Stationary Processes](https://python-advanced.quantecon.org/arma.html) and [Estimation of Spectra](https://python-advanced.quantecon.org/estspec.html).

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El-Shanawany, Ardron, and Walker {cite}`Ardron_2018` and Greenfield and Sargent {cite}`Greenfield_Sargent_1993` used some of the methods described here to approximate probabilities of failures of safety systems in nuclear facilities.

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Read the original on github.com ↗