Overview

Uncertainty Principle for Time Series is devoted to a model-free approach that bypasses most of the existing shortcomings; the proof of the existence of a trend is a key ingredient. Although time series is a classic object of study in many branches of applied sciences (econometrics, financial engineering, weather forecast, neurosciences, etc.), most of the existing settings are assuming the knowledge of a model and of the probabilistic nature of the uncertainties. Those assumptions are almost always impossible to fulfill. Moreover a complete and elegant mathematical treatment exists only in the case of stationary processes, which almost never occur in practice. All those points explain the difficulty of applying the existing approaches in concrete situations.

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9781785481741

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Michel Fliess is a research director at Ecole Polytechnique. He obtained a PhD 1972 on Theoretical computer sciences. His research focuses on original algebraic methods in automation, estimation and identification, which have considerably advanced these disciplines Cedric Join is an Associate Professor at CRAN, he is also a scientific expert at AL.I.E.N. with a focus on automatic control, fast estimation, real time identification, signal and image processing, model free control, financial engineering.

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