Abstract
Alternative indexes for the CPA task go beyond the classical and commonly used assessment methodologies. They try to address the practical aspects, which are frequently met in the process industry reality. Alternative indexes extend classical research. They try to capture nonlinearities, complexity, non-Gaussian properties, fat-tails, human impact and so on. Alternative non-Gaussian approaches, like persistence, fractal, multi-fractal, fractional order or entropy based indexes are still not well established. The following chapter brings them closer in details.
For a complex natural shape, dimension is relative. It varies with the observer. The same object can have more than one dimension, depending on how you measure it and what you want to do with it.
– Benoît B. Mandelbrot
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Domański, P.D. (2020). Alternative Indexes. In: Control Performance Assessment: Theoretical Analyses and Industrial Practice. Studies in Systems, Decision and Control, vol 245. Springer, Cham. https://doi.org/10.1007/978-3-030-23593-2_7
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