Titlebook: Automatic trend estimation; C˘alin Vamos¸,Maria Cr˘aciun Book 2013 The Author(s) 2013 Automatic Estimation of Trends.Average Conditional D

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Automatic trend estimation978-94-007-4825-5Series ISSN 2191-5423 Series E-ISSN 2191-5431

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Introduction,ntroductory chapter we briefly present some basic notions which are used in the rest of the book. The main methods to estimate trends from noisy time series are introduced in Sect. 1.2. In the last section we discuss the properties of the order one autoregressive stochastic process AR(1) which has t

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Estimation of Monotonic Trend Segments from a Noisy Time Series, monotonic variations into many small fluctuations, but the global shape of the trend is recognizable because the trend local extrema have a larger time scale than those induced by noise. By rigorously defining the time scale of a local extremum we design an automatic algorithm to estimate the trend